This paper presents the starting project of a web site focussed on unstable systems. It is a web-based database in a bilingual version(English/Czech), which can be used as an information database for models of unstabl...This paper presents the starting project of a web site focussed on unstable systems. It is a web-based database in a bilingual version(English/Czech), which can be used as an information database for models of unstable processes. The web site contains the mathematical models of such systems, including their simulation files together with basic information about the stability of dynamic systems. The paper outlines the motivation for the development of this database, presents its basic structure, and discusses several models from the site. The areas of prospective usage are also suggested together with the possible directions of further development of this project. The contribution ends with a case study using the database for control system analysis and design of the Amira inverted pendulum. The systematic polynomial approach is fruitfully utilised for the task together with some useful tools from the robust control theory.展开更多
Uncertainty model validation has been studied for stable system by several authors. This paper considers uncertainty model validation for unstable systems. Under a similar assumption to study for stable systam, a nece...Uncertainty model validation has been studied for stable system by several authors. This paper considers uncertainty model validation for unstable systems. Under a similar assumption to study for stable systam, a necessary and suffident condition is obtained for unstable uncertainty models not to be invalidated, which generalizes the results of previous study and show that the uncertainty model validation for unstable systems is again a boundary interpolation problem.展开更多
This paper introduces a Takagi-Sugeno(T-S)fuzzy regulator design using the negative absolute eigenvalue(NAE)approach for a class of nonlinear and unstable systems.The open-loop system is initially embodied by the trad...This paper introduces a Takagi-Sugeno(T-S)fuzzy regulator design using the negative absolute eigenvalue(NAE)approach for a class of nonlinear and unstable systems.The open-loop system is initially embodied by the traditional T-S fuzzy model and then,all closed-loop subsystems are combined using the proposed Max-Min operator in place of traditional weighted average operator from the controller side to lessen the coupling virtually and simplify the proposed regulator design.For each virtually decoupled closed-loop subsystem,the composite regulators(i.e.,primary and secondary regulators)are designed by the NAE approach based on the enhanced eigenvalue analysis.The Lyapunov function is utilized to guarantee the asymptotic stability of the overall T-S fuzzy control system.The most popular and widely used nonlinear and unstable systems like the electromagnetic levitation system(EMLS)and the inverted cart pendulum(ICP)are simulated for the wide range of the initial conditions and the enormous variation in the disturbance.The transient and steady-state performance of the considered systems using the proposed design are analyzed in terms of the decay rate,settling time and integral errors as IAE,ISE,ITAE,and ITSE to validate the effectiveness of the proposed approach compared to the most popular and traditional parallel distributed compensation(PDC)approach.展开更多
Interactions among ecosystem services(ESs)are spatially heterogeneous,shaped by both stable(unidirectional)and unstable(context-dependent)influences of socio-economic development and climate change.These complexities ...Interactions among ecosystem services(ESs)are spatially heterogeneous,shaped by both stable(unidirectional)and unstable(context-dependent)influences of socio-economic development and climate change.These complexities pose significant challenges for spatially adaptive ecosystem management.Ecosystem service bundles(ESBs),as recurring combinations of ESs,offer a valuable framework to capture such interactions.Here,we proposed an integrated analytical framework that combines K-means clustering,the geographical detector(GD)model,and geographically and temporally weighted regression(GTWR)models to evaluate how socio-economic and climatic drivers influence ESBs across space and time.Using Hanshui River Basin(HRB)in central China as a case study,we quantified ES dynamics from 2000 to 2020,identified ESBs and stable and unstable effects of multiple drivers.The results showed that carbon sequestration(CS),water yield(WY),and aesthetic landscape(AL)increased by 32.80%,9.00%,and 7.34%,respectively,while soil retention(SR)and food supply(FS)declined by 8.38%and 5.36%.Five distinct ESBs were identified,namely ecologically fragile bundle(EFB),agricultural production bundle(APB),water supply bundle(WSB),forest ecological bundle(FEB),and ecological conservation bundle(ECB).Among these,FEB expanded to more than 35.75%of the HRB,and APB exhibited the sharpest decline(-28.64%).Land use intensity(LUI)was the primary driver of the spatial heterogeneity of ESBs,while synergistic and nonlinear interactions among multiple factors increasingly amplified their effects over time.Notably,annual precipitation(AP)emerged as the only stable basin-scale driver,consistently enhancing ES performance,while gross domestic product(GDP)and normalized difference vegetation index(NDVI)had stable yet spatially differentiated effects across bundles.Our findings highlight the significance of distinguishing stable/unstable driver effects on ES dynamics to inform regionally adaptive ecosystem governance.The proposed framework provides valuable insights into ES interactions,identify spatial priorities,and support policy interventions that balance ecological conservation with socio-economic development.展开更多
Aim To study singular points, closed orbits, stable manifolds and unstable manifolds of a second order autonomous Birkhoff system. Methods Qualitative methods of ordinary differential equation were used. Results and ...Aim To study singular points, closed orbits, stable manifolds and unstable manifolds of a second order autonomous Birkhoff system. Methods Qualitative methods of ordinary differential equation were used. Results and Conclusion The criteria for singular points, closed orbits and hyperbolic equilibrium points of a second order autonomous Birkhoff system are given. Moreover the stability of equilibria, stable manifolds and unstable manifolds are obtained.展开更多
OBJECTIVE:To evaluate systematically the efficacy and safety of Danshenchuanxiongqin Injection(DCI)in the treatment of unstable angina pectoris(UAP).METHODS:Randomized controlled trials(RCTs)regarding DCI used for tre...OBJECTIVE:To evaluate systematically the efficacy and safety of Danshenchuanxiongqin Injection(DCI)in the treatment of unstable angina pectoris(UAP).METHODS:Randomized controlled trials(RCTs)regarding DCI used for treating UAP were searched in English and Chinese electronic databases from inception to January 2014.Two reviewers independently retrieved RCTs and extracted relevant information.The Cochrane risk of bias method was used to assess the quality of included studies,and a Meta-analysis was conducted with Review Manager5.2 software.RESULTS:Eleven RCTs involving 1034 participants were included.The methodological quality was relatively passable.The Meta-analysis indicated that the combined use of DCI and conventional treatment with Western Medicine(WM)was more efficacious in the outcomes of total effective rate[Relative Risk(RR)=1.27,95%CI(confidence interval;1.18,1.35),P<0.000 01],the total effective rate of ECG[RR=1.40,95%CI(1.18,1.66),P<0.000 01],total cholesterol[Mean difference(MD)=-0.58,95%CI(-0.83,-0.33),P<0.000 01],total triglycerides[MD=-0.36,95%CI(-0.54,-0.17),P=0.0001],and the number of ST-segment depression[MD=-0.36,95%CI(-0.54,-0.17),P=0.0001].There were two adverse drug reactions reported in one study.CONCLUSION:Based on the systematic review,DCI combined with WM appeared to be efficacious in the treatment UAP.However,the evidence of DCI for treating UAP requires large-scale and double-blind RCTs to substantiate these findings.展开更多
OBJECTIVE: To undertake a systematic review and network meta-analysis(NMA) to compare the effectiveness among the different regimens of Salvia miltiorrhiza injection classes(SMICs) for unstable angina pectoris(UAP) tr...OBJECTIVE: To undertake a systematic review and network meta-analysis(NMA) to compare the effectiveness among the different regimens of Salvia miltiorrhiza injection classes(SMICs) for unstable angina pectoris(UAP) treatment.METHODS: A systematic retrieval was conducted in several literature databases to identify randomized controlled trials focusing on the different regimens of SMICs for UAP treatment until January2016. The quality assessment was accomplished according to the Cochrane risk of bias tool. Pair-wise meta-analyses were carried out by Rev Man 5.3. A random-effects model of NMA was used to compare the different regimens of SMICs with regard to efficacy by STATA 13.0.RESULTS: A total of 111 studies involving 10 500patients were included in the NMA. The methodological quality of included studies was not high.Current evidence shows that salvianolate(SI) is the optimal treatment for UAP in improving the total efficacy against UAP. Guanxingning(GXN) is the optimal treatment for UAP for improving the total effectiveness of electrocardiography.CONCLUSION: SMICs have advantages in preventing cardiovascular events. GXN, SI, and Danhong had the greatest probability of being the best treatment in the total efficacy against UAP and for improving the total effectiveness of electrocardiography.展开更多
As a classical technique for chaos suppression,the time-delayed feedback controlling strategy has been widely developed by stabilizing unstable periodic orbits(UPOs)embedded in chaotic systems.A critical issue for ach...As a classical technique for chaos suppression,the time-delayed feedback controlling strategy has been widely developed by stabilizing unstable periodic orbits(UPOs)embedded in chaotic systems.A critical issue for achieving high controlling precision is to search for an appropriate time delay.This paper proposes a simple yet effective approach,based on incremental harmonic balance method,to determine the optimal time delay in the delayed feedback controller.The time delay is adjusted within the iterative scheme provided by the proposed method,and finally converges to the period of the target UPO.As long as the optimal time delay is fixed,moreover,the attained solution makes it quite convenient to analyze its stability according to the Floquet theory,which further provides the effective interval of the feedback gain.展开更多
This paper is concerned with the stability and robust stability of switched positive linear systems(SPLSs) whose subsystems are all unstable. By means of the mode-dependent dwell time approach and a class of discretiz...This paper is concerned with the stability and robust stability of switched positive linear systems(SPLSs) whose subsystems are all unstable. By means of the mode-dependent dwell time approach and a class of discretized co-positive Lyapunov functions, some stability conditions of switched positive linear systems with all modes unstable are derived in both the continuous-time and the discrete-time cases, respectively. The copositive Lyapunov functions constructed in this paper are timevarying during the dwell time and time-invariant afterwards. In addition, the above approach is extended to the switched interval positive systems. A numerical example is proposed to illustrate our approach.展开更多
In this paper, the problem of stabilizing an unstable second order delay system using classical proportional-integralderivative(PID) controller is considered. An extension of the Hermite-Biehler theorem, which is appl...In this paper, the problem of stabilizing an unstable second order delay system using classical proportional-integralderivative(PID) controller is considered. An extension of the Hermite-Biehler theorem, which is applicable to quasi-polynomials, is used to seek the set of complete stabilizing proportional-integral/proportional-integral-derivative(PI/PID) parameters. The range of admissible proportional gains is determined in closed form. For each proportional gain, the stabilizing set in the space of the integral and derivative gains is shown to be a triangle.展开更多
For efficient utilization of a limited geothermal resource in practical projects,the cycle parameters were comprehensively analyzed by combining with the heat transfer performance of the plate heat exchanger,with a va...For efficient utilization of a limited geothermal resource in practical projects,the cycle parameters were comprehensively analyzed by combining with the heat transfer performance of the plate heat exchanger,with a variation of flowrate of R245 fa.The influence of working fluid flowrate on a 500 W ORC system was investigated.Adjusting the working fluid flowrate to an optimal value results in the most efficient heat transfer and hence the optimal heat transfer parameters of the plate heat exchanger can be determined.Therefore,for the ORC systems,optimal working fluid flowrate should be controlled.Using different temperature hot water as the heat source,it is found that the optimal flowrate increases by 6-10 L/h with 5 ℃ increment of hot water inlet temperature.During experiment,lower degree of superheat of the working fluid at the outlet the plate heat exchanger may lead to unstable power generation.It is considered that the plate heat exchanger has a compact construction which makes its bulk so small that liquid mixture causes the unstable power generation.To avoid this phenomenon,the flow area of plate heat exchanger should be larger than the designed one.Alternatively,installing a small shell and tube heat exchanger between the outlet of plate heat exchanger and the inlet of expander can be another solution.展开更多
BACKGROUND Coronary stent implantation is usually used to treat unstable angina to alleviate stenosis or occlusion,promoting blood flow restoration and alleviating symptoms such as myocardial ischemia.And postoperativ...BACKGROUND Coronary stent implantation is usually used to treat unstable angina to alleviate stenosis or occlusion,promoting blood flow restoration and alleviating symptoms such as myocardial ischemia.And postoperative cardiac rehabilitation is essential for enhancing recovery and prognosis.Nevertheless,conventional rehabilitation lacks specificity,particularly for elderly patients with multiple comorbidities and poor compliance,rendering it less effective.AIM To investigate the effects of systematic cardiac rehabilitation training in elderly patients with unstable angina following coronary stenting intervention.METHODS A retrospective enrollment was conducted comprising fifty-four elderly patients with unstable angina pectoris who underwent systematic cardiac rehabilitation training after receiving coronary intervention as the rehabilitation group,while fifty-three elderly patients who received basic nursing and rehabilitation guidance measures after coronary intervention were assigned to the control group.Differences in Seattle Angina Questionnaire scores,survival quality(SF-36)scores,cardiopulmonary exercise function assessment index,echocardiographic cardiac function index,and adverse cardiovascular events were compared between the two groups.RESULTS After intervention,the rehabilitation group observed greater VO2 Max,maximum metabolic equivalent,eft ventricular ejection fraction,left ventricular end-diastolic diameter and smaller left ventricular end-systolic diameter.And the rehabilitation group observed greater scores of physical activity limitation,stable angina pectoris,treatment satisfaction,and SF-36 score.The incidence of adverse cardiovascular events in the two groups,showed no significant difference.CONCLUSION Systematic cardiac rehabilitation following coronary stenting in elderly patients with unstable angina pectoris can enhance cardiac function recovery,consequently enhancing both quality of life and cardiopulmonary exercise tolerance.展开更多
The method of stabilizing switched systems based on the optimal control is applied,with all modes unstable,for a typical example of the multi-agent system.First,the optimal control method for stabilizing switched syst...The method of stabilizing switched systems based on the optimal control is applied,with all modes unstable,for a typical example of the multi-agent system.First,the optimal control method for stabilizing switched systems is introduced.For this purpose,a switching table rule procedure is constructed.This procedure is inspired by the optimal control that identifies the optimal trajectory for the switched systems.In the next step,the stability of a multi-agent system is studied,considering different unstable connection topologies.Finally,the optimal control method is successfully applied to an aircraft team,as an example of the multi-agent systems.Simulation results evaluate and confirm the successful application of this method in the aircraft team example.展开更多
Objective:To objectively assess the impact of case management on patients with myocardial infarction or unstable angina.Methods:PubMed,EMBASE,Web of Science,Cochrane Library,China National Knowledge Infrastructure(CNK...Objective:To objectively assess the impact of case management on patients with myocardial infarction or unstable angina.Methods:PubMed,EMBASE,Web of Science,Cochrane Library,China National Knowledge Infrastructure(CNKI),and Chinese Biomedical Literature Database were searched for relevant randomized controlled trials(RCTs)published through February 2015.The quality of eligible studies was independently assessed by two investigators.The primary outcome assessed from included studies was all-cause mortality,with total cholesterol,systolic and diastolic blood pressures,smoking cessation rates and cost-effectiveness as secondary outcomes.The pooled effect sizes were expressed as relative risk,odds risk,and standard mean difference with 95%confidence intervals.Heterogeneity among studies was assessed using Cochrane Q and determined with an I2 statistic.Results:After the initial search,a total of four studies divided into six RCTs that included 1293 participants met the inclusion criteria and were analyzed.The results of meta-and descriptive analyses failed to identify any significant differences in all-cause mortality during the follow-up period of up to 36 months.Furthermore,a definitive conclusion for remaining indicators could not be drawn due to limited evidence.Conclusion:Case management is not beneficial to all-cause mortality after myocardial infarction or unstable angina compared to routine care.Additional,prospective RCTs of high quality and large scale are warranted to verify these results.展开更多
Fast Lagrangian analysis of continua(FLAC) was used to study the influence of pore pressure on the mechanical behavior of rock specimen in plane strain direct shear, the distribution of yielded elements, the distribut...Fast Lagrangian analysis of continua(FLAC) was used to study the influence of pore pressure on the mechanical behavior of rock specimen in plane strain direct shear, the distribution of yielded elements, the distribution of displacement and velocity across shear band as well as the snap-back (elastic rebound) instability. The effective stress law was used to represent the weakening of rock containing pore fluid under pressure. Numerical results show that rock specimen becomes soft (lower strength and hardening modulus) as pore pressure increases, leading to higher displacement skip across shear band. Higher pore pressure results in larger area of plastic zone, higher concentration of shear strain, more apparent precursor to snap-back (unstable failure) and slower snap-back. For higher pore pressure, the formation of shear band-elastic body system and the snap-back are earlier; the distance of snap-back decreases; the capacity of snap-back decreases, leading to lower elastic strain energy liberated beyond the instability and lower earthquake or rockburst magnitude. In the process of snap-back, the velocity skip across shear band is lower for rock specimen at higher pore pressure, showing the slower velocity of snap-back.展开更多
Effects of time delay on stability of an unstable state in a time-delayed bistable system are investigated.The analytic expression of the transition rate W(x_(u),τ)from unstable state xu to stable state x+is derived....Effects of time delay on stability of an unstable state in a time-delayed bistable system are investigated.The analytic expression of the transition rate W(x_(u),τ)from unstable state xu to stable state x+is derived.The numerical calculation results of W(x_(u),τ)indicate that W(x_(u),τ)decreases with the increasing multiplicative noise intensity,the additive noise intensi by and the strength of correlations between the multiplicative and the additive noise increase,but W(x_(u),τ)increases with increasing delay time.Namely,the multiplicative noise,the additive noise and the correlations between the multiplicative and the additive noises enhance the stability of the unstable state in the time-delayed bistable system but the stability is weakened by time delay.展开更多
Proportional-Integral-Derivative control system has been widely used in industrial applications.For uncertain and unstable systems,tuning controller parameters to satisfy the process requirements is very challenging.I...Proportional-Integral-Derivative control system has been widely used in industrial applications.For uncertain and unstable systems,tuning controller parameters to satisfy the process requirements is very challenging.In general,the whole system’s performance strongly depends on the controller’s efficiency and hence the tuning process plays a key role in the system’s response.This paper presents a robust optimal Proportional-Integral-Derivative controller design methodology for the control of unstable delay system with parametric uncertainty using a combination of Kharitonov theorem and genetic algorithm optimization based approaches.In this study,the Generalized Kharitonov Theorem(GKT)for quasi-polynomials is employed for the purpose of designing a robust controller that can simultaneously stabilize a given unstable second-order interval plant family with time delay.Using a constructive procedure based on the Hermite-Biehler theorem,we obtain all the Proportional-Integral-Derivative gains that stabilize the uncertain and unstable second-order delay system.Genetic Algorithms(GAs)are utilized to optimize the three parameters of the PID controllers and the three parameters of the system which provide the best control that makes the system robust stable under uncertainties.Specifically,the method uses genetic algorithms to determine the optimum parameters by minimizing the integral of time-weighted absolute error ITAE,the Integral-Square-Error ISE,the integral of absolute error IAE and the integral of time-weighted Square-Error ITSE.The validity and relatively effortless application of presented theoretical concepts are demonstrated through a computation and simulation example.展开更多
We present a numerical method for efficiently detecting unstable periodic orbits(UPO’s)embedded in chaotic attractors of high-dimensional systems.This method,which we refer to as subspace fixed-point iteration, locat...We present a numerical method for efficiently detecting unstable periodic orbits(UPO’s)embedded in chaotic attractors of high-dimensional systems.This method,which we refer to as subspace fixed-point iteration, locates fixed points of Poincare maps using a form of fixed-point iteration that splits the phase space into appropriate subspaces.In this paper,among a number of possible implementations,we primarily focus on a subspace method based on the Schmelcher-Diakonos(SD)method that selectively locates UPO’s by varying a stabilizing matrix,and present some applications of the resulting subspace SD method to hyperchaotic attractors where the UPO’s have more than one unstable direction.展开更多
Objective To explore the technique and clinical outcome of the atlantoaxial pedicle screw system in the treatment of the unstable altantoaxial dislocation post traction.
BACKGROUND Unstable intertrochanteric fractures in elderly patients require effective surgical management,with both cementless bipolar hemiarthroplasty(CBHA)and proximal femoral nail anti-rotation(PFNA)being valid tre...BACKGROUND Unstable intertrochanteric fractures in elderly patients require effective surgical management,with both cementless bipolar hemiarthroplasty(CBHA)and proximal femoral nail anti-rotation(PFNA)being valid treatment options to reduce morbidity and mortality.AIM To evaluate and compare the outcomes of CBHA and PFNA in treatment of unstable intertrochanteric fractures.METHODS A comprehensive search was conducted to identify relevant studies discussing the outcomes of using both CBH and PFNA in treatment of unstable intertrochanteric fractures.Studies published up to January 1,2025 were searched across multiple databases,including PubMed,EMBASE,Scopus,Web of Science,Cochrane Library,and Google Scholar.Full texts of the selected articles were retrieved,reviewed,and independently assessed by the investigators.Discrepancies were resolved by consensus,with any remaining disagreements being arbitrated by a third author.RESULTS This meta-analysis included three studies,all of which were retrospective,involving a total of 240 patients.The follow-up period for participants was at least 12 months.CBHA was associated with significantly higher blood loss compared to PFNA[mean differences(MD):129.14,95%CI(52.51,205.77),P=0.001],though heterogeneity was high(I²=97%).Operative time showed no significant difference initially[MD:6.10,95%CI(-13.34,25.54),P=0.54],but after excluding one study,BHA had longer operative times[MD:21.51,95%CI(18.60,24.41),P<0.00001].Hospital stay and Harris scores showed no significant differences between groups.CBHA facilitated faster progression to weight-bearing[MD:-11.92,95%CI(-22.46,-1.39),P=0.03]and a lower incidence of prosthetic loosening[risk ratio:0.21,95%CI(0.05,0.92),P=0.04].Refracture and thrombus formation rates were comparable between the two groups.CONCLUSION CBHA offers shorter weight-bearing duration and reduced prosthetic loosening but incurs greater blood loss and longer operative times compared to PFNA.Both techniques show comparable functional recovery,hospital stay,refracture,and thrombus risks.Clinical choice should prioritize early mobilization or surgical minimalism,guided by patient needs.Further prospective studies are warranted.展开更多
文摘This paper presents the starting project of a web site focussed on unstable systems. It is a web-based database in a bilingual version(English/Czech), which can be used as an information database for models of unstable processes. The web site contains the mathematical models of such systems, including their simulation files together with basic information about the stability of dynamic systems. The paper outlines the motivation for the development of this database, presents its basic structure, and discusses several models from the site. The areas of prospective usage are also suggested together with the possible directions of further development of this project. The contribution ends with a case study using the database for control system analysis and design of the Amira inverted pendulum. The systematic polynomial approach is fruitfully utilised for the task together with some useful tools from the robust control theory.
文摘Uncertainty model validation has been studied for stable system by several authors. This paper considers uncertainty model validation for unstable systems. Under a similar assumption to study for stable systam, a necessary and suffident condition is obtained for unstable uncertainty models not to be invalidated, which generalizes the results of previous study and show that the uncertainty model validation for unstable systems is again a boundary interpolation problem.
文摘This paper introduces a Takagi-Sugeno(T-S)fuzzy regulator design using the negative absolute eigenvalue(NAE)approach for a class of nonlinear and unstable systems.The open-loop system is initially embodied by the traditional T-S fuzzy model and then,all closed-loop subsystems are combined using the proposed Max-Min operator in place of traditional weighted average operator from the controller side to lessen the coupling virtually and simplify the proposed regulator design.For each virtually decoupled closed-loop subsystem,the composite regulators(i.e.,primary and secondary regulators)are designed by the NAE approach based on the enhanced eigenvalue analysis.The Lyapunov function is utilized to guarantee the asymptotic stability of the overall T-S fuzzy control system.The most popular and widely used nonlinear and unstable systems like the electromagnetic levitation system(EMLS)and the inverted cart pendulum(ICP)are simulated for the wide range of the initial conditions and the enormous variation in the disturbance.The transient and steady-state performance of the considered systems using the proposed design are analyzed in terms of the decay rate,settling time and integral errors as IAE,ISE,ITAE,and ITSE to validate the effectiveness of the proposed approach compared to the most popular and traditional parallel distributed compensation(PDC)approach.
基金Under the auspices of National Natural Science Foundation of China(No.42171414)。
文摘Interactions among ecosystem services(ESs)are spatially heterogeneous,shaped by both stable(unidirectional)and unstable(context-dependent)influences of socio-economic development and climate change.These complexities pose significant challenges for spatially adaptive ecosystem management.Ecosystem service bundles(ESBs),as recurring combinations of ESs,offer a valuable framework to capture such interactions.Here,we proposed an integrated analytical framework that combines K-means clustering,the geographical detector(GD)model,and geographically and temporally weighted regression(GTWR)models to evaluate how socio-economic and climatic drivers influence ESBs across space and time.Using Hanshui River Basin(HRB)in central China as a case study,we quantified ES dynamics from 2000 to 2020,identified ESBs and stable and unstable effects of multiple drivers.The results showed that carbon sequestration(CS),water yield(WY),and aesthetic landscape(AL)increased by 32.80%,9.00%,and 7.34%,respectively,while soil retention(SR)and food supply(FS)declined by 8.38%and 5.36%.Five distinct ESBs were identified,namely ecologically fragile bundle(EFB),agricultural production bundle(APB),water supply bundle(WSB),forest ecological bundle(FEB),and ecological conservation bundle(ECB).Among these,FEB expanded to more than 35.75%of the HRB,and APB exhibited the sharpest decline(-28.64%).Land use intensity(LUI)was the primary driver of the spatial heterogeneity of ESBs,while synergistic and nonlinear interactions among multiple factors increasingly amplified their effects over time.Notably,annual precipitation(AP)emerged as the only stable basin-scale driver,consistently enhancing ES performance,while gross domestic product(GDP)and normalized difference vegetation index(NDVI)had stable yet spatially differentiated effects across bundles.Our findings highlight the significance of distinguishing stable/unstable driver effects on ES dynamics to inform regionally adaptive ecosystem governance.The proposed framework provides valuable insights into ES interactions,identify spatial priorities,and support policy interventions that balance ecological conservation with socio-economic development.
文摘Aim To study singular points, closed orbits, stable manifolds and unstable manifolds of a second order autonomous Birkhoff system. Methods Qualitative methods of ordinary differential equation were used. Results and Conclusion The criteria for singular points, closed orbits and hyperbolic equilibrium points of a second order autonomous Birkhoff system are given. Moreover the stability of equilibria, stable manifolds and unstable manifolds are obtained.
基金Supported by National Natural Science Foundation of China(Study on the Key Factors of Allergic Reaction that Caused by Chinese Herbal Injection Based on the Three-Dimensional Database and Multi-Dimensional Data-Mining,No.81473547)Scientific Research Innovation Team Project of Beijing University of Chinese Medicine(the Basic Theory of Traditional Chinese Medicine,No.2011-CXTD-14)
文摘OBJECTIVE:To evaluate systematically the efficacy and safety of Danshenchuanxiongqin Injection(DCI)in the treatment of unstable angina pectoris(UAP).METHODS:Randomized controlled trials(RCTs)regarding DCI used for treating UAP were searched in English and Chinese electronic databases from inception to January 2014.Two reviewers independently retrieved RCTs and extracted relevant information.The Cochrane risk of bias method was used to assess the quality of included studies,and a Meta-analysis was conducted with Review Manager5.2 software.RESULTS:Eleven RCTs involving 1034 participants were included.The methodological quality was relatively passable.The Meta-analysis indicated that the combined use of DCI and conventional treatment with Western Medicine(WM)was more efficacious in the outcomes of total effective rate[Relative Risk(RR)=1.27,95%CI(confidence interval;1.18,1.35),P<0.000 01],the total effective rate of ECG[RR=1.40,95%CI(1.18,1.66),P<0.000 01],total cholesterol[Mean difference(MD)=-0.58,95%CI(-0.83,-0.33),P<0.000 01],total triglycerides[MD=-0.36,95%CI(-0.54,-0.17),P=0.0001],and the number of ST-segment depression[MD=-0.36,95%CI(-0.54,-0.17),P=0.0001].There were two adverse drug reactions reported in one study.CONCLUSION:Based on the systematic review,DCI combined with WM appeared to be efficacious in the treatment UAP.However,the evidence of DCI for treating UAP requires large-scale and double-blind RCTs to substantiate these findings.
基金Supported by National Natural Science Foundation of China:Study on the Key Influencing Factors of Anaphylaxis in Traditional Chinese Medicine Injection(No.81473547)Multi-dimensional Clinical Evaluation Model of Salvia Injection for the Treatment of Unstable Angina Pectoris(No.81673829)
文摘OBJECTIVE: To undertake a systematic review and network meta-analysis(NMA) to compare the effectiveness among the different regimens of Salvia miltiorrhiza injection classes(SMICs) for unstable angina pectoris(UAP) treatment.METHODS: A systematic retrieval was conducted in several literature databases to identify randomized controlled trials focusing on the different regimens of SMICs for UAP treatment until January2016. The quality assessment was accomplished according to the Cochrane risk of bias tool. Pair-wise meta-analyses were carried out by Rev Man 5.3. A random-effects model of NMA was used to compare the different regimens of SMICs with regard to efficacy by STATA 13.0.RESULTS: A total of 111 studies involving 10 500patients were included in the NMA. The methodological quality of included studies was not high.Current evidence shows that salvianolate(SI) is the optimal treatment for UAP in improving the total efficacy against UAP. Guanxingning(GXN) is the optimal treatment for UAP for improving the total effectiveness of electrocardiography.CONCLUSION: SMICs have advantages in preventing cardiovascular events. GXN, SI, and Danhong had the greatest probability of being the best treatment in the total efficacy against UAP and for improving the total effectiveness of electrocardiography.
基金supported by the National Natural Science Foundation of China(Grants 11702333 and 11672337)Natural Science Foundation of Guangdong Province(Grant 2018B030311001).
文摘As a classical technique for chaos suppression,the time-delayed feedback controlling strategy has been widely developed by stabilizing unstable periodic orbits(UPOs)embedded in chaotic systems.A critical issue for achieving high controlling precision is to search for an appropriate time delay.This paper proposes a simple yet effective approach,based on incremental harmonic balance method,to determine the optimal time delay in the delayed feedback controller.The time delay is adjusted within the iterative scheme provided by the proposed method,and finally converges to the period of the target UPO.As long as the optimal time delay is fixed,moreover,the attained solution makes it quite convenient to analyze its stability according to the Floquet theory,which further provides the effective interval of the feedback gain.
基金supported by National Natural Science Foundation of China (61703288,61603079,61873174)
文摘This paper is concerned with the stability and robust stability of switched positive linear systems(SPLSs) whose subsystems are all unstable. By means of the mode-dependent dwell time approach and a class of discretized co-positive Lyapunov functions, some stability conditions of switched positive linear systems with all modes unstable are derived in both the continuous-time and the discrete-time cases, respectively. The copositive Lyapunov functions constructed in this paper are timevarying during the dwell time and time-invariant afterwards. In addition, the above approach is extended to the switched interval positive systems. A numerical example is proposed to illustrate our approach.
文摘In this paper, the problem of stabilizing an unstable second order delay system using classical proportional-integralderivative(PID) controller is considered. An extension of the Hermite-Biehler theorem, which is applicable to quasi-polynomials, is used to seek the set of complete stabilizing proportional-integral/proportional-integral-derivative(PI/PID) parameters. The range of admissible proportional gains is determined in closed form. For each proportional gain, the stabilizing set in the space of the integral and derivative gains is shown to be a triangle.
基金Project (2012AA053001) supported by High-tech Research and Development Program of China
文摘For efficient utilization of a limited geothermal resource in practical projects,the cycle parameters were comprehensively analyzed by combining with the heat transfer performance of the plate heat exchanger,with a variation of flowrate of R245 fa.The influence of working fluid flowrate on a 500 W ORC system was investigated.Adjusting the working fluid flowrate to an optimal value results in the most efficient heat transfer and hence the optimal heat transfer parameters of the plate heat exchanger can be determined.Therefore,for the ORC systems,optimal working fluid flowrate should be controlled.Using different temperature hot water as the heat source,it is found that the optimal flowrate increases by 6-10 L/h with 5 ℃ increment of hot water inlet temperature.During experiment,lower degree of superheat of the working fluid at the outlet the plate heat exchanger may lead to unstable power generation.It is considered that the plate heat exchanger has a compact construction which makes its bulk so small that liquid mixture causes the unstable power generation.To avoid this phenomenon,the flow area of plate heat exchanger should be larger than the designed one.Alternatively,installing a small shell and tube heat exchanger between the outlet of plate heat exchanger and the inlet of expander can be another solution.
文摘BACKGROUND Coronary stent implantation is usually used to treat unstable angina to alleviate stenosis or occlusion,promoting blood flow restoration and alleviating symptoms such as myocardial ischemia.And postoperative cardiac rehabilitation is essential for enhancing recovery and prognosis.Nevertheless,conventional rehabilitation lacks specificity,particularly for elderly patients with multiple comorbidities and poor compliance,rendering it less effective.AIM To investigate the effects of systematic cardiac rehabilitation training in elderly patients with unstable angina following coronary stenting intervention.METHODS A retrospective enrollment was conducted comprising fifty-four elderly patients with unstable angina pectoris who underwent systematic cardiac rehabilitation training after receiving coronary intervention as the rehabilitation group,while fifty-three elderly patients who received basic nursing and rehabilitation guidance measures after coronary intervention were assigned to the control group.Differences in Seattle Angina Questionnaire scores,survival quality(SF-36)scores,cardiopulmonary exercise function assessment index,echocardiographic cardiac function index,and adverse cardiovascular events were compared between the two groups.RESULTS After intervention,the rehabilitation group observed greater VO2 Max,maximum metabolic equivalent,eft ventricular ejection fraction,left ventricular end-diastolic diameter and smaller left ventricular end-systolic diameter.And the rehabilitation group observed greater scores of physical activity limitation,stable angina pectoris,treatment satisfaction,and SF-36 score.The incidence of adverse cardiovascular events in the two groups,showed no significant difference.CONCLUSION Systematic cardiac rehabilitation following coronary stenting in elderly patients with unstable angina pectoris can enhance cardiac function recovery,consequently enhancing both quality of life and cardiopulmonary exercise tolerance.
文摘The method of stabilizing switched systems based on the optimal control is applied,with all modes unstable,for a typical example of the multi-agent system.First,the optimal control method for stabilizing switched systems is introduced.For this purpose,a switching table rule procedure is constructed.This procedure is inspired by the optimal control that identifies the optimal trajectory for the switched systems.In the next step,the stability of a multi-agent system is studied,considering different unstable connection topologies.Finally,the optimal control method is successfully applied to an aircraft team,as an example of the multi-agent systems.Simulation results evaluate and confirm the successful application of this method in the aircraft team example.
文摘Objective:To objectively assess the impact of case management on patients with myocardial infarction or unstable angina.Methods:PubMed,EMBASE,Web of Science,Cochrane Library,China National Knowledge Infrastructure(CNKI),and Chinese Biomedical Literature Database were searched for relevant randomized controlled trials(RCTs)published through February 2015.The quality of eligible studies was independently assessed by two investigators.The primary outcome assessed from included studies was all-cause mortality,with total cholesterol,systolic and diastolic blood pressures,smoking cessation rates and cost-effectiveness as secondary outcomes.The pooled effect sizes were expressed as relative risk,odds risk,and standard mean difference with 95%confidence intervals.Heterogeneity among studies was assessed using Cochrane Q and determined with an I2 statistic.Results:After the initial search,a total of four studies divided into six RCTs that included 1293 participants met the inclusion criteria and were analyzed.The results of meta-and descriptive analyses failed to identify any significant differences in all-cause mortality during the follow-up period of up to 36 months.Furthermore,a definitive conclusion for remaining indicators could not be drawn due to limited evidence.Conclusion:Case management is not beneficial to all-cause mortality after myocardial infarction or unstable angina compared to routine care.Additional,prospective RCTs of high quality and large scale are warranted to verify these results.
基金Project(50309004) supported by the National Natural Science Foundation of China
文摘Fast Lagrangian analysis of continua(FLAC) was used to study the influence of pore pressure on the mechanical behavior of rock specimen in plane strain direct shear, the distribution of yielded elements, the distribution of displacement and velocity across shear band as well as the snap-back (elastic rebound) instability. The effective stress law was used to represent the weakening of rock containing pore fluid under pressure. Numerical results show that rock specimen becomes soft (lower strength and hardening modulus) as pore pressure increases, leading to higher displacement skip across shear band. Higher pore pressure results in larger area of plastic zone, higher concentration of shear strain, more apparent precursor to snap-back (unstable failure) and slower snap-back. For higher pore pressure, the formation of shear band-elastic body system and the snap-back are earlier; the distance of snap-back decreases; the capacity of snap-back decreases, leading to lower elastic strain energy liberated beyond the instability and lower earthquake or rockburst magnitude. In the process of snap-back, the velocity skip across shear band is lower for rock specimen at higher pore pressure, showing the slower velocity of snap-back.
基金Supported by the National Natural Science Foundation of China under Grant No 10865006the Science Foundation of Yunnan University under Grant No 2009A01z.
文摘Effects of time delay on stability of an unstable state in a time-delayed bistable system are investigated.The analytic expression of the transition rate W(x_(u),τ)from unstable state xu to stable state x+is derived.The numerical calculation results of W(x_(u),τ)indicate that W(x_(u),τ)decreases with the increasing multiplicative noise intensity,the additive noise intensi by and the strength of correlations between the multiplicative and the additive noise increase,but W(x_(u),τ)increases with increasing delay time.Namely,the multiplicative noise,the additive noise and the correlations between the multiplicative and the additive noises enhance the stability of the unstable state in the time-delayed bistable system but the stability is weakened by time delay.
文摘Proportional-Integral-Derivative control system has been widely used in industrial applications.For uncertain and unstable systems,tuning controller parameters to satisfy the process requirements is very challenging.In general,the whole system’s performance strongly depends on the controller’s efficiency and hence the tuning process plays a key role in the system’s response.This paper presents a robust optimal Proportional-Integral-Derivative controller design methodology for the control of unstable delay system with parametric uncertainty using a combination of Kharitonov theorem and genetic algorithm optimization based approaches.In this study,the Generalized Kharitonov Theorem(GKT)for quasi-polynomials is employed for the purpose of designing a robust controller that can simultaneously stabilize a given unstable second-order interval plant family with time delay.Using a constructive procedure based on the Hermite-Biehler theorem,we obtain all the Proportional-Integral-Derivative gains that stabilize the uncertain and unstable second-order delay system.Genetic Algorithms(GAs)are utilized to optimize the three parameters of the PID controllers and the three parameters of the system which provide the best control that makes the system robust stable under uncertainties.Specifically,the method uses genetic algorithms to determine the optimum parameters by minimizing the integral of time-weighted absolute error ITAE,the Integral-Square-Error ISE,the integral of absolute error IAE and the integral of time-weighted Square-Error ITSE.The validity and relatively effortless application of presented theoretical concepts are demonstrated through a computation and simulation example.
文摘We present a numerical method for efficiently detecting unstable periodic orbits(UPO’s)embedded in chaotic attractors of high-dimensional systems.This method,which we refer to as subspace fixed-point iteration, locates fixed points of Poincare maps using a form of fixed-point iteration that splits the phase space into appropriate subspaces.In this paper,among a number of possible implementations,we primarily focus on a subspace method based on the Schmelcher-Diakonos(SD)method that selectively locates UPO’s by varying a stabilizing matrix,and present some applications of the resulting subspace SD method to hyperchaotic attractors where the UPO’s have more than one unstable direction.
文摘Objective To explore the technique and clinical outcome of the atlantoaxial pedicle screw system in the treatment of the unstable altantoaxial dislocation post traction.
文摘BACKGROUND Unstable intertrochanteric fractures in elderly patients require effective surgical management,with both cementless bipolar hemiarthroplasty(CBHA)and proximal femoral nail anti-rotation(PFNA)being valid treatment options to reduce morbidity and mortality.AIM To evaluate and compare the outcomes of CBHA and PFNA in treatment of unstable intertrochanteric fractures.METHODS A comprehensive search was conducted to identify relevant studies discussing the outcomes of using both CBH and PFNA in treatment of unstable intertrochanteric fractures.Studies published up to January 1,2025 were searched across multiple databases,including PubMed,EMBASE,Scopus,Web of Science,Cochrane Library,and Google Scholar.Full texts of the selected articles were retrieved,reviewed,and independently assessed by the investigators.Discrepancies were resolved by consensus,with any remaining disagreements being arbitrated by a third author.RESULTS This meta-analysis included three studies,all of which were retrospective,involving a total of 240 patients.The follow-up period for participants was at least 12 months.CBHA was associated with significantly higher blood loss compared to PFNA[mean differences(MD):129.14,95%CI(52.51,205.77),P=0.001],though heterogeneity was high(I²=97%).Operative time showed no significant difference initially[MD:6.10,95%CI(-13.34,25.54),P=0.54],but after excluding one study,BHA had longer operative times[MD:21.51,95%CI(18.60,24.41),P<0.00001].Hospital stay and Harris scores showed no significant differences between groups.CBHA facilitated faster progression to weight-bearing[MD:-11.92,95%CI(-22.46,-1.39),P=0.03]and a lower incidence of prosthetic loosening[risk ratio:0.21,95%CI(0.05,0.92),P=0.04].Refracture and thrombus formation rates were comparable between the two groups.CONCLUSION CBHA offers shorter weight-bearing duration and reduced prosthetic loosening but incurs greater blood loss and longer operative times compared to PFNA.Both techniques show comparable functional recovery,hospital stay,refracture,and thrombus risks.Clinical choice should prioritize early mobilization or surgical minimalism,guided by patient needs.Further prospective studies are warranted.
