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Exponential Stability of Impulsive System via Saturated Sliding Mode Control
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作者 Miaomiao Yu Xiaodi Li 《IEEE/CAA Journal of Automatica Sinica》 2025年第2期469-471,共3页
Dear Editor,This letter presents a class of saturated sliding mode control (SMC)strategy for linear systems subject to impulsive disturbance and input saturation. To ensure the feasibility of proposed SMC under satura... Dear Editor,This letter presents a class of saturated sliding mode control (SMC)strategy for linear systems subject to impulsive disturbance and input saturation. To ensure the feasibility of proposed SMC under saturation, a relationship is established among attraction domain, saturation structure and control gain. 展开更多
关键词 linear systems attraction domain saturated sliding mode control impulsive disturbance saturation structure exponential stability impulsive system
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On the exponential stability and instability analyses of switched second-and higher-order linear systems via a novel application of differential inequalities:part 1(theory)
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作者 Y.V.Venkatesh 《Control Theory and Technology》 2025年第4期702-720,共19页
Differential inequalities generated in an extended Lyapunov framework are employed in the stability and instability analyses of a class of switched continuous-time second-and higher order linear systems with an arbitr... Differential inequalities generated in an extended Lyapunov framework are employed in the stability and instability analyses of a class of switched continuous-time second-and higher order linear systems with an arbitrary number of switching matrices.The exponential stability and instability(ESI)conditions so obtained involve the supremum and infimum of ratios of certain quadratic forms of the matrices,leading to global time-averages of their activity intervals.Further,motivated by linear switching system examples of(i)instability with stable matrices and(ii)stability with unstable matrices(found in the literature primarily for second-order systems),the proposed framework is generalized to establish ESI conditions that include both the activity intervals of the matrices and their switching rates,the latter being governed by a certain logarithmic measure of the normalized magnitudes of discontinuities caused by switching.In effect,(the new,globally averaged)dwell-time is flexibly traded,apparently for the first time,but under specific conditions(related,in part,to the eigenvalues of the matrices),for switching discontinuity-based conditions.Two further novel aspects of the proposed approach are:(i)For second-order matrices,switching lines in phase space can be chosen for periodic switching to stabilize or destabilize the system,and even generate oscillations,depending on the eigenvalues of the system matrices.But for third-(and higher)order matrices,such an analytically tractable(and controlled)periodical switching entails solution of an explicit non-convex multi-parameter optimization problem for which a stochastic optimization algorithm from the literature can be invoked.(ii)Lower and upper bounds on the solutions of the system equations can be quantified to reflect the stability/instability/oscillatory property of the system.Illustrative examples,which demonstrate the novelty of the derived stability and instability conditions,are presented in part 2 which is advisedly to be read along with this part 1 for a coherent merging of theory with practice. 展开更多
关键词 Differential inequalities Dwell time exponential stability and instability Quadratic Lyapunov functions Switched linear second-and higher order systems
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New criteria on the existence and global exponential stability of periodic solutions for quaternion-valued cellular neural networks
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作者 LI Ai-ling ZHOU Zheng ZHANG Zheng-qiu 《Applied Mathematics(A Journal of Chinese Universities)》 2025年第3期523-542,共20页
In this paper,a class of quaternion-valued cellular neural networks(QVCNNS)with time-varying delays are considered.Combining graph theory with the continuation theorem of Mawhin’s coincidence degree theory as well as... In this paper,a class of quaternion-valued cellular neural networks(QVCNNS)with time-varying delays are considered.Combining graph theory with the continuation theorem of Mawhin’s coincidence degree theory as well as Lyapunov functional method,we establish new criteria on the existence and exponential stability of periodic solutions for QVCNNS by removing the assumptions for the boundedness on the activation functions and the assumptions that the values of the activation functions are zero at origin.Hence,our results are less conservative and new. 展开更多
关键词 the existence of periodic solutions exponential stability quaternion-valued cellular neural networks combining graph theory with Mawhin’s continuation theorem of coincidence degree theory Lyapunov function method inequality techniques
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On the exponential stability and instability analyses of switched second- and higher-order linear systems via a novel application of differential inequalities: part 2 (Illustrations)
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作者 Y.V.Venkatesh 《Control Theory and Technology》 2025年第4期721-749,共29页
In this second part of the paper,bearing the same title as above,but with the last hyphenated phrase replaced by part 1(Theory),the exponential stability and instability(ESI)Theorems 1–4 of part 1 are illustrated by ... In this second part of the paper,bearing the same title as above,but with the last hyphenated phrase replaced by part 1(Theory),the exponential stability and instability(ESI)Theorems 1–4 of part 1 are illustrated by applying them to second-andby,say,third-order linear switched systems with different eigenvalue structures to demonstrate the versatility,novelty and superiority(over many of the results found in the literature,especially for second-order switched lined systems)of the new theoretical results.The computational procedure that is employed with reference to the third-order systems is generic,in the sense that it is applicable to higher(i.e.,greater than third-)order linear switched systems.A pseudo-code for a computer implementation of the stability/instability conditions is also presented.With the principal aim of facilitating an independent reading of this part 2 of the paper,some crucial mathematical notations,definitions and results of part 1 have been repeated,thereby making the contents as self-contained as possible. 展开更多
关键词 Differential inequalities Dwell time exponential stability and instability Quadratic Lyapunov functions Switched linear second-and third-(and higher)order systems
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Uniqueness of Positive Solutions to Semilinear Equations with Critical Exponential Nonlinearity of Henon Type
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作者 CEN Jianglin ZHU Maochun 《应用数学》 北大核心 2026年第1期80-89,共10页
In this paper,we study the uniqueness of positive solutions to the following semilinear equations{-Δu=λ|x|^(α)ue^(u^(2)),in B_(1),u=0,onδB_(1)ueu2;in B_(1);u=0;on@B_(1);whereλ>0,α>-2;B_(1)denotes the unit ... In this paper,we study the uniqueness of positive solutions to the following semilinear equations{-Δu=λ|x|^(α)ue^(u^(2)),in B_(1),u=0,onδB_(1)ueu2;in B_(1);u=0;on@B_(1);whereλ>0,α>-2;B_(1)denotes the unit disk in R^(2):By delicate and relatively complicated computation of radial solutions to the above equation and the asymptotic expansion of solutions near the boundary of B_(1),the uniqueness of positive solutions is obtained.The results of this paper extend the uniqueness result for the semilinear equation with critical exponential growth in CHEN et al.(2022)to the case that includes a Henon term. 展开更多
关键词 UNIQUENESS Trudinger-Moser inequality Critical exponential Henon type
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EXPONENTIAL STABILITY OF ATTRACTOR FOR RANDOM REACTION-DIFFUSION EQUATION DRIVEN BY NONLINEAR COLORED NOISE ON R^(N)
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作者 Huijuan ZHU Xiaojun LI Yanjiao LI 《Acta Mathematica Scientia》 2025年第4期1567-1596,共30页
In this paper, we consider the existence of pullback random exponential attractor for non-autonomous random reaction-diffusion equation driven by nonlinear colored noise defined onR^(N) . The key steps of the proof ar... In this paper, we consider the existence of pullback random exponential attractor for non-autonomous random reaction-diffusion equation driven by nonlinear colored noise defined onR^(N) . The key steps of the proof are the tails estimate and to demonstrate the Lipschitz continuity and random squeezing property of the solution for the equation defined on R^(N) . 展开更多
关键词 random reaction-diffusion equation continuous cocycle pullback random attractor fractal dimension random exponential attractor
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Dynamics of the perturbed Calogero-Moser system:well-posedness,stability and blow up
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作者 LIU Qianle WANG Zhong ZHU Weipeng 《中山大学学报(自然科学版)(中英文)》 北大核心 2026年第1期157-168,共12页
We investigate a class of non-integrable two-particle Calogero-Moser systems modulated by a power-law external potential.The local well-posedness of the Cauchy problem is established under the strict initial separatio... We investigate a class of non-integrable two-particle Calogero-Moser systems modulated by a power-law external potential.The local well-posedness of the Cauchy problem is established under the strict initial separation condition for the particles.For suitably prepared initial configurations,local solutions can be extended globally via energy conservation;conversely,negative energy conditions induce(in)finite-time blowup.The linear(in)stability of stationary solutions is analyzed,with their energy serving as a threshold.Numerical investigations employ a fourth-order Runge-Kutta scheme with adaptive step-size control.Simulations demonstrate that the trajectories either converge to steady states or exhibit blowup,depending on the power exponentαand initial conditions.Increasingαaccelerates the convergence rate and dampens oscillatory dynamics,promoting a transition from periodic behavior to static equilibrium. 展开更多
关键词 Calogero-Moser system WELL-POSEDNESS blow up stability
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Innovative Strategies to Overcome Stability Challenges of Single‑Atom Nanozymes
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作者 Rong Guo Qiuzheng Du +3 位作者 Yaping He Haoan Wu Yu Zhang Ziwei Jing 《Nano-Micro Letters》 2026年第3期725-756,共32页
Single-atom nanozymes(SAzymes)exhibit exceptional catalytic efficiency due to their maximized atom utilization and precisely modulated metalcarrier interactions,which have attracted significant attention in the biomed... Single-atom nanozymes(SAzymes)exhibit exceptional catalytic efficiency due to their maximized atom utilization and precisely modulated metalcarrier interactions,which have attracted significant attention in the biomedical field.However,stability issues may impede the clinical translation of SAzymes.This review provides a comprehensive overview of the applications of SAzymes in various biomedical fields,including disease diagnosis(e.g.,biosensors and diagnostic imaging),antitumor therapy(e.g.,photothermal therapy,photodynamic therapy,sonodynamic therapy,and immunotherapy),antimicrobial therapy,and anti-oxidative stress therapy.More importantly,the existing challenges of SAzymes are discussed,such as metal atom clustering and active site loss,ligand bond breakage at high temperature,insufficient environment tolerance,biosecurity risks,and limited catalytic long-term stability.Finally,several innovative strategies to address these stability concerns are proposed—synthesis process optimization(space-limited strategy,coordination site design,bimetallic synergistic strategy,defect engineering strategy,atom stripping-capture),surface modification,and dynamic responsive design—that collectively pave the way for robust,clinically viable SAzymes. 展开更多
关键词 Single-atom nanozymes Clinical translation stability issues Innovative strategies BIOCOMPATIBILITY
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Increased NH3-SCR activity and stability of Fe-Beta catalysts achieved by using Al-rich zeolite
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作者 Tongliang Zhang Zhongqi Liu +7 位作者 Jingjing Liu Minghui Jiang Xue Xia Xinyue Shan Yulong Shan Xiaoyan Shi Yunbo Yu Hong He 《Journal of Environmental Sciences》 2026年第1期809-818,共10页
Selective catalytic reduction with NH3(NH3-SCR)is an important means of NO_(x) abatement from stationary and mobile sources,and the key element is efficient and stable NH3-SCR catalysts.In this study,we propose a meth... Selective catalytic reduction with NH3(NH3-SCR)is an important means of NO_(x) abatement from stationary and mobile sources,and the key element is efficient and stable NH3-SCR catalysts.In this study,we propose a method to construct superior Fe-Beta catalysts based on Al-rich zeolites.This strategy successfully promotes the formation of NH3-SCR-active isolated Fe^(3+)species,thus effectively improving the low-temperature activity of the Fe-Beta catalysts.Thanks to the abundant Brønsted acid sites of the Al-rich zeolite,the Fe_(2)O_(3) particles are redispersed and anchored as isolated Fe^(3+)during hydrothermal aging.This dynamic evolution of Fe species makes up for the adverse effect of dealumination of the Al-rich zeolite framework and achieves high stability for the Al-rich Fe-Beta catalyst.This study may promote the understanding of highly efficient and stable catalyst design using Al-rich zeolites. 展开更多
关键词 Fe-Beta Al-rich zeolite NH3-SCR hydrothermal stability
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Stability enhancement of MnO_(x)-CeO_(2)via hydrophobic modification for NO reduction by NH_(3)
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作者 Boyu Wu Shengen Zhang +2 位作者 Shengyang Zhang Bo Liu Bolin Zhang 《International Journal of Minerals,Metallurgy and Materials》 2026年第1期357-368,共12页
MnO_(x)-CeO_(2)catalysts for the low-temperature selective catalytic reduction(SCR)of NO remain vulnerable to water and sulfur poisoning,limting their practical applications.Herein,we report a hydrophobic-modified MnO... MnO_(x)-CeO_(2)catalysts for the low-temperature selective catalytic reduction(SCR)of NO remain vulnerable to water and sulfur poisoning,limting their practical applications.Herein,we report a hydrophobic-modified MnO_(x)-CeO_(2)catalyst that achieves enhanced NO conversion rate and stability under harsh conditions.The catalyst was synthesized by decorating MnOx crystals with amorphous CeO_(2),followed by loading hydrophobic silica on the external surfaces.The hydrophobic silica allowed the adsorption of NH_(3)and NO and diffusion of H,suppressed the adsorption of H_(2)O,and prevented SO_(2)interaction with the Mn active sites,achieving selective molecular discrimination at the catalyst surface.At 120℃,under H_(2)O and SO_(2)exposure,the optimal hydrophobic catalyst maintains 82%NO conversion rate compared with 69%for the unmodified catalyst.The average adsorption energies of NH_(3),H_(2)O,and SO_(2)decreased by 0.05,0.43,and 0.52 eV,respectively.The NO reduction pathway follows the Eley-Rideal mechanism,NH_(3)^(*)+*→NH_(2)^(*)+H^(*)followed by NH_(2)^(*)+NO^(*)→N_(2)^(*)+H_(2)O^(*),with NH_(3)dehydrogenation being the rate determining step.Hydrophobic modification increased the activation energy for H atom transfer,leading to a minor decrease in the NO conversion rate at 120℃.This work demonstrates a viable strategy for developing robust NH_(3)-S CR catalysts capable of efficient operation in water-and sulfur-rich environments. 展开更多
关键词 Mn-Ce catalyst NH_(3)-SCR hydrophobic modification enhanced stability
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Cu/Ti-doped O3-type cathode materials for high cyclic stability of sodium-ion batteries
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作者 Jingjing Dong Liu Pei +6 位作者 Yifei Wang Yan Liu Xingliang Liu Zhidan Diao Jianling Li Yejing Li Xindong Wang 《International Journal of Minerals,Metallurgy and Materials》 2026年第1期306-314,共9页
The outstanding performance of O3-type NaNi_(1/3)Fe_(1/3)Mn_(1/3)O_(2)(NFM111)at both high and low temperatures coupled with its impressive specific capacity makes it an excellent cathode material for sodium-ion batte... The outstanding performance of O3-type NaNi_(1/3)Fe_(1/3)Mn_(1/3)O_(2)(NFM111)at both high and low temperatures coupled with its impressive specific capacity makes it an excellent cathode material for sodium-ion batteries.However,its poor cycling,owing to highpressure phase transitions,is one of its disadvantages.In this study,Cu/Ti was introduced into NFM111 cathode material using a solidphase method.Through both theoretically and experimentally,this study found that Cu doping provides a higher redox potential in NFM111,improving its reversible capacity and charge compensation process.The introduction of Ti would enhance the cycling stability of the material,smooth its charge and discharge curves,and suppress its high-voltage phase transitions.Accordingly,the NaNi_(0.27)Fe_(0.28)Mn_(0.33)Cu_(0.05)Ti_(0.06)O_(2)sample used in the study exhibited a remarkable rate performance of 142.97 mAh·g^(-1)at 0.1 C(2.0-4.2 V)and an excellent capacity retention of 72.81%after 300 cycles at 1C(1C=150 mA·g^(-1)). 展开更多
关键词 sodium-ion batteries Cu/Ti doping cyclic stability layered cathode material
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Ultrasound biomicroscopy analysis of age-related trends in lens stability in cortical cataracts
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作者 Jia-Jun Chen Ling Wang +3 位作者 Sha-Sha Xue Zhi-Ying Yu Yun-Xiao Wang Feng-Lei Wang 《International Journal of Ophthalmology(English edition)》 2026年第2期252-259,共8页
AIM:To investigate age-related differences in the irislens angle(ILA)among patients with age-related cortical cataracts and elucidate the impact of age on lens stability.METHODS:A prospective observational study was c... AIM:To investigate age-related differences in the irislens angle(ILA)among patients with age-related cortical cataracts and elucidate the impact of age on lens stability.METHODS:A prospective observational study was conducted on patients with age-related cortical cataracts scheduled for phacoemulsification surgery.Preoperative ultrasound biomicroscopy(UBM)images were collected and analyzed.Initially,patients were stratified into two age groups:<60y and≥60y,with no significant intergroup differences in sex or eye laterality.For further analysis,participants were subdivided into three age strata:<60y,60-75y,and>75y.The ILA was measured in four quadrants(superior,inferior,nasal,and temporal).Intergroup differences in ILA were compared,and correlations between age and ILA parameters were analyzed using statistical methods.RESULTS:The sample data were categorized into three groups according to age,<60y(113 patients;55.8%female),60–75y(245 patients;61.0%female),and>75y(70 patients;50.2%female).The superior quadrant ILA increased progressively with age stratification(P=0.02),and the maximum ILA difference(ΔILA)was significantly higher in patients over 75y(P<0.01).Simple linear regression analysis demonstrated a positive correlation between age and ILA in the superior(Y=7.487+0.096X,R=0.191,P<0.001)and temporal(Y=10.254+0.052X,R=0.104,P=0.032)quadrants.Additionally,the mean ILA across all quadrants(ILAmean)andΔILA were positively correlated with age(ILAmean:Y=9.721+0.055X,R=0.138,P=0.004;ΔILA:Y=3.267+0.044X,R=0.006,P<0.05).CONCLUSION:In patients with age-related cortical cataracts,ILA increases with age,particularly in the superior and temporal quadrants,suggesting that advanced age is associated with greater lens deviation and decreased lens stability.UBM imaging can effectively evaluate the status of the zonule and lens stability,providing crucial evidence for personalized surgical planning based on patients’age. 展开更多
关键词 iris-lens angle age-related cortical cataract lens stability ultrasound biomicroscopy PHACOEMULSIFICATION surgical planning
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Exponential stability criteria on neural networks with continuously distributed delays 被引量:2
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作者 李涛 费树岷 朱清 《Journal of Southeast University(English Edition)》 EI CAS 2007年第4期529-533,共5页
The exponential stability of a class of neural networks with continuously distributed delays is investigated by employing a novel Lyapunov-Krasovskii functional. Through introducing some free-weighting matrices and th... The exponential stability of a class of neural networks with continuously distributed delays is investigated by employing a novel Lyapunov-Krasovskii functional. Through introducing some free-weighting matrices and the equivalent descriptor form, a delay-dependent stability criterion is established for the addressed systems. The condition is expressed in terms of a linear matrix inequality (LMI), and it can be checked by resorting to the LMI in the Matlab toolbox. In addition, the proposed stability criteria do not require the monotonicity of the activation functions and the derivative of a time-varying delay being less than 1, which generalize and improve earlier methods. Finally, numerical examples are given to show the effectiveness of the obtained methods. 展开更多
关键词 exponential stability neural networks free-weighting matrix continuously distributed delay linear matrix inequality
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Exponential stability and existence of periodic solutions for a class of recurrent neural networks with delays 被引量:1
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作者 戴志娟 《Journal of Southeast University(English Edition)》 EI CAS 2006年第2期286-293,共8页
Both the global exponential stability and the existence of periodic solutions for a class of recurrent neural networks with continuously distributed delays (RNNs) are studied. By employing the inequality α∏k=1^m ... Both the global exponential stability and the existence of periodic solutions for a class of recurrent neural networks with continuously distributed delays (RNNs) are studied. By employing the inequality α∏k=1^m bk^qk≤1/r ∑qkbk^r+1/rα^r(α≥0,bk≥0,qk〉0,with ∑k=1^m qk=r-1,r≥1, constructing suitable Lyapunov r k=l k=l functions and applying the homeomorphism theory, a family of simple and new sufficient conditions are given ensuring the global exponential stability and the existence of periodic solutions of RNNs. The results extend and improve the results of earlier publications. 展开更多
关键词 recurrent neural network global exponential stability periodic solution delay HOMEOMORPHISM Lyapunov function
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Existence and exponential stability of almost-periodic solutions for MAM neural network with distributed delays on time scales 被引量:1
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作者 GAO Jin WANG Qi-ru LIN Yuan 《Applied Mathematics(A Journal of Chinese Universities)》 SCIE CSCD 2021年第1期70-82,共13页
This paper is concerned with multidirectional associative memory neural network with distributed delays on almost-periodic time scales.Some sufficient conditions on the existence,uniqueness and the global exponential ... This paper is concerned with multidirectional associative memory neural network with distributed delays on almost-periodic time scales.Some sufficient conditions on the existence,uniqueness and the global exponential stability of almost-periodic solutions are established.An example is presented to illustrate the feasibility and effectiveness of the obtained results. 展开更多
关键词 multidirectional associative memory neural networks time scales almost-periodic solutions exponential stability.
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Absolute Exponential Stability of Generalized Dynamical Neural Networks
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作者 孙长银 费树岷 冯纯伯 《Journal of Southeast University(English Edition)》 EI CAS 2002年第2期159-163,共5页
This paper investigates the absolute exponential stability of generalized neural networks with a general class of partially Lipschitz continuous and monotone increasing activation functions. The main obtained result i... This paper investigates the absolute exponential stability of generalized neural networks with a general class of partially Lipschitz continuous and monotone increasing activation functions. The main obtained result is that if the interconnection matrix T of the neural system satisfies that - T is an H matrix with nonnegative diagonal elements, then the neural system is absolutely exponentially stable(AEST). The Hopfield network, Cellular neural network and Bidirectional associative memory network are special cases of the network model considered in this paper. So this work gives some improvements to the previous ones. 展开更多
关键词 absolute exponential stability partial Lipschitz continuity neural networks
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Global exponential stability of Cohen-Grossberg neural networks with variable delays 被引量:4
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作者 ZHANG Li-juan SHI Bao 《Applied Mathematics(A Journal of Chinese Universities)》 SCIE CSCD 2009年第2期167-174,共8页
A class of generalized Cohen-Grossberg neural networks(CGNNs) with variable de- lays are investigated. By introducing a new type of Lyapunov functional and applying the homeomorphism theory and inequality technique,... A class of generalized Cohen-Grossberg neural networks(CGNNs) with variable de- lays are investigated. By introducing a new type of Lyapunov functional and applying the homeomorphism theory and inequality technique, some new conditions axe derived ensuring the existence and uniqueness of the equilibrium point and its global exponential stability for CGNNs. These results obtained are independent of delays, develop the existent outcome in the earlier literature and are very easily checked in practice. 展开更多
关键词 Cohen-Grossberg neural network equilibrium point DELAY global exponential stability
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ROBUST GLOBAL EXPONENTIAL STABILITY OF UNCERTAIN IMPULSIVE SYSTEMS 被引量:3
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作者 刘斌 刘新芝 廖晓昕 《Acta Mathematica Scientia》 SCIE CSCD 2005年第1期161-169,共9页
By using the quasi-Lyapunov function, some sufficient conditions of global exponential stability for impulsive systems are established, which is the basis for the following discussion. Then, by employing Riccati inequ... By using the quasi-Lyapunov function, some sufficient conditions of global exponential stability for impulsive systems are established, which is the basis for the following discussion. Then, by employing Riccati inequality and Hamilton-Jacobi inequality approach, some sufficient conditions of robust exponential stability for uncertain linear/nonlinear impulsive systems are derived, respectively. Finally, some examples are given to illustrate the applications of the theory. 展开更多
关键词 Uncertain impulsive system interval matrix Riccati/Hamilton-Jacobi inequality global exponential stability robust global exponential stability
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Exponential Stability of Large-Scale Non-Linear Systems with Multiple The Delays
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作者 解三名 吴叶军 吴沧浦 《Journal of Beijing Institute of Technology》 EI CAS 1995年第1期41+36-41,共7页
The problem of stabilizing a class of large-scale non-linear multiple delay systems is considered.The complicated system is decomposed into several subsystems; each function of them is expressed by a set of components... The problem of stabilizing a class of large-scale non-linear multiple delay systems is considered.The complicated system is decomposed into several subsystems; each function of them is expressed by a set of components of the overall state vector,with interconnections between them, and the subsystems are coupled by the delayed state. In this paper, a method is devised to be a suitable choice of state feedback controls of every subsystems, moreover, it is proved that the large-scale system is exponential stable. 展开更多
关键词 large-scale systems/exponential stability multiple delay systems
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Improved Exponential Stability Criteria for Recurrent Neural Networks with Time-varying Discrete and Distributed Delays 被引量:4
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作者 Yuan-Yuan Wu Tao Li Yu-Qiang Wu 《International Journal of Automation and computing》 EI 2010年第2期199-204,共6页
In this paper, the problem of the global exponential stability analysis is investigated for a class of recurrent neural networks (RNNs) with time-varying discrete and distributed delays. Due to a novel technique whe... In this paper, the problem of the global exponential stability analysis is investigated for a class of recurrent neural networks (RNNs) with time-varying discrete and distributed delays. Due to a novel technique when estimating the upper bound of the derivative of Lyapunov functional, we establish new exponential stability criteria in terms of LMIs. It is shown that the obtained criteria can provide less conservative results than some existing ones. Numerical examples are given to show the effectiveness of the proposed results. 展开更多
关键词 Neural networks time-varying delay exponential stability linear matrix inequalities (LMIs).
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