A guidance policy for controller performance enhancement utilizing mobile sensor-actuator networks （MSANs） is proposed for a class of distributed parameter systems （DPSs）, which are governed by diffusion partial d...A guidance policy for controller performance enhancement utilizing mobile sensor-actuator networks （MSANs） is proposed for a class of distributed parameter systems （DPSs）, which are governed by diffusion partial differential equations （PDEs） with time-dependent spatial domains. Several sufficient conditions for controller performance enhancement are presented. First, the infinite dimensional operator theory is used to derive an abstract evolution equation of the systems under some rational assumptions on the operators, and a static output feedback controller is designed to control the spatial process. Then, based on Lyapunov stability arguments, guidance policies for collocated and non-collocated MSANs are provided to enhance the performance of the proposed controller, which show that the time-dependent characteristic of the spatial domains can significantly affect the design of the mobile scheme. Finally, a simulation example illustrates the effectiveness of the proposed policy.展开更多
In this paper, the properties of dark energy are investigated according to the parameterized deceleration parameter q（z）, which is used to describe the extent of the accelerating expansion of the universe. The poten...In this paper, the properties of dark energy are investigated according to the parameterized deceleration parameter q（z）, which is used to describe the extent of the accelerating expansion of the universe. The potential of dark energy V（φ） and the cosmological parameters, such as the dimensionless energy density Ωφ, Ωm, and the state parameter wφ, are connected to it. Concretely, by giving two kinds of parameterized deceleration parameters q（z） = a ＋ bz/（1 ＋ z） and q（z） = 1/2 ＋ （az ＋ b）/（1 ＋ z）^2, the evolution of these parameters and the reconstructed potentials V（φ） are plotted and analysed. It is found that the potentials run away with the evolution of universe.展开更多
The evolution of the quintessence in various stages of the universe, i.e., the radiation-, matter-, andquintessence-dominated stages, is closely related with the tracking behavior and the deceleration parameter of the...The evolution of the quintessence in various stages of the universe, i.e., the radiation-, matter-, andquintessence-dominated stages, is closely related with the tracking behavior and the deceleration parameter of theuniverse. We gave the explicit relation between the equation-of-state of the quintessence in the epoch of the matter-quintessence equality and the inverse power index of the quintessence potential, obtained the constraint on this potentialparameter comingfrom the present deceleration parameter, i.e., a low inverse power index.We point out that the lowinverse power-law potential with a single term cannot work for the tracking solution. In order to have both of the trackerand the suitable deceleration parameter it is necessary to introduce at least two terms in the quintessence potential. Wegive the future evolution of the quintessential universe.展开更多
Purpose.Thetheoretical description of Hubble’s diagrams asymmetry of and calculating the anisotropy of the deceleration parameter phenomenon, that was recently found by R.-G.Cai and Z.-L.Tuo.Method. For doing this th...Purpose.Thetheoretical description of Hubble’s diagrams asymmetry of and calculating the anisotropy of the deceleration parameter phenomenon, that was recently found by R.-G.Cai and Z.-L.Tuo.Method. For doing this the concepts of Universe rotation and its two-component model were attracted.Result.Our result is in good correlation (case of the upper magnitude index) with the value that was got in [1].Significance. The result of article gives new basing of the Universe rotation axis existence.展开更多
Bianchi type-IX cosmological models with variable equation of state (EoS) parameter have been investigated in general relativity when universe is filled with dark energy. The field equations have been solved by consid...Bianchi type-IX cosmological models with variable equation of state (EoS) parameter have been investigated in general relativity when universe is filled with dark energy. The field equations have been solved by considering (i) q=B (variable);(ii) , where k and m are constants;(iii) , where k is constant and R is average scale factor;(iv) which gives . This renders early decelerating and late time accelerating cosmological models. The physical and geometrical properties of the models are also discussed.展开更多
We have studied Locally Rotationally Symmetric (LRS) Bianchi type-I cosmological model filled with anisotropic fluid in general theory of relativity. The solutions of the field equations are obtained by using special ...We have studied Locally Rotationally Symmetric (LRS) Bianchi type-I cosmological model filled with anisotropic fluid in general theory of relativity. The solutions of the field equations are obtained by using special form of deceleration parameter which gives early deceleration and late time accelerating cosmological model. The geometrical and physical aspect of the model is also studied.展开更多
In the present study, a homogeneous and anisotropic LRS Bianchi type I universe model is considered in <i>f</i>(<i>R</i>, <i>T</i>) theory of gravity. In order to find an exact solu...In the present study, a homogeneous and anisotropic LRS Bianchi type I universe model is considered in <i>f</i>(<i>R</i>, <i>T</i>) theory of gravity. In order to find an exact solution of the field equations of the model, the model presented is based on a unique condition of periodically time varying deceleration parameter. The physical and geometrical characteristics of the universe model have been studied. It has been shown that the model has point-type singularity and all the cosmological parameters possess periodic time behavior. The model has a cyclic expansion history, for example, the model starts with the decelerating expansion, and later it transits to an accelerating phase of expansion and then goes to super-exponential phase of expansion in a period.展开更多
Based on the first linearized Boussincsq equation, the analytical solution of the transient groundwater model, which is used for describing phreatic flow in a semiinfinite aquifer bounded by a linear stream and subjec...Based on the first linearized Boussincsq equation, the analytical solution of the transient groundwater model, which is used for describing phreatic flow in a semiinfinite aquifer bounded by a linear stream and subjected to time-dependent vertical seepage, is derived out by Laplace transform and the convolution integral. According to the mathematical characteristics of the solution, different methods for estimating aquifer parameters are constructed to satisfy different hydrological conditions. Then, tile equation for estimating water exchange between stream and aquifer is proposed, and a recursion equation or estimating the intensity of phreatic evaporation is also proposed. A phreatic aquifer stream system located in Huaibei Plain, Anhui Province, China, is taken as an example to demonstrate tile estimation process of the methods stated herein.展开更多
This paper proposes a new personal tour planning problem with time-dependent satisfactions, traveling and activity duration times for sightseeing. It is difficult to represent the time-dependent model using general st...This paper proposes a new personal tour planning problem with time-dependent satisfactions, traveling and activity duration times for sightseeing. It is difficult to represent the time-dependent model using general static network models, and hence, Time-Expanded Network (TEN) is introduced. The TEN contains a copy to the set of nodes in the underlying static network for each discrete time step, and it turns the problem of determining an optimal flow over time into a classical static network flow problem. Using the proposed TEN-based model, it is possible not only to construct various variations with time of costs and satisfactions flexibly in a single network, but also to select optimal departure places and accommodations according to the tour route with tourist’s favorite places and to obtain the time scheduling of tour route, simultaneously. The proposed model is formulated as a 0 - 1 integer programming problem which can be applied by existing useful combinatorial optimization and soft computing algorithms. It’s also equivalently transformed into several existing tour planning problems using some natural assumptions. Furthermore, comparing the proposed model with some previous models using a numerical example with time-dependent parameters, both the similarity of these models in the static network and the advantage of the proposed TEN-based model are obtained.展开更多
In this study,the Bianchi Space Metric-I cosmological model is introduced within the context of the Saez-Ballester theory of gravitation,including the incorporation of scale factors in the framework of gravity.The obj...In this study,the Bianchi Space Metric-I cosmological model is introduced within the context of the Saez-Ballester theory of gravitation,including the incorporation of scale factors in the framework of gravity.The objective is to derive an exact solution for the cosmological field equation,with consideration given to the Landau and Lifshitz energy tensor.This solution includes a metric potential comprising commoving vectors and an energy conservation equation.Within this framework,a set of relations between the deceleration parameter,Hubble parameter,and average scale factor is established.By adopting a probable set of relations,the influence of the dynamics of the deceleration parameter on energy density and isotropic pressure,particularly in exponential form,is explored.A key proposal involves the utilization of a linearly decelerating parameter alongside exponential scale factors.The results are presented graphically,offering insights into potential future cosmological models.These graphical representations are intended to facilitate the understanding of numerous physical and kinematical properties inherent in the cosmological model under investigation.展开更多
We investigate the null tests of cosmic accelerated expansion by using the baryon acoustic oscillation(BAO)data measured by the dark energy spectroscopic instrument(DESI)and reconstruct the dimensionless Hubble parame...We investigate the null tests of cosmic accelerated expansion by using the baryon acoustic oscillation(BAO)data measured by the dark energy spectroscopic instrument(DESI)and reconstruct the dimensionless Hubble parameter E(z)from the DESI BAO Alcock-Paczynski(AP)data using Gaussian process to perform the null test.We find strong evidence of accelerated expansion from the DESI BAO AP data.By reconstructing the deceleration parameter q(z) from the DESI BAO AP data,we find that accelerated expansion persisted until z■0.7 with a 99.7%confidence level.Additionally,to provide insights into the Hubble tension problem,we propose combining the reconstructed E(z) with D_(H)/r_(d) data to derive a model-independent result r_(d)h=99.8±3.1 Mpc.This result is consistent with measurements from cosmic microwave background(CMB)anisotropies using the ΛCDM model.We also propose a model-independent method for reconstructing the comoving angular diameter distance D_(M)(z) from the distance modulus μ,using SNe Ia data and combining this result with DESI BAO data of D_(M)/r_(d) to constrain the value of r_(d).We find that the value of r_(d),derived from this model-independent method,is smaller than that obtained from CMB measurements,with a significant discrepancy of at least 4.17σ.All the conclusions drawn in this paper are independent of cosmological models and gravitational theories.展开更多
Recent developments in the exploration of the universe suggest that it is in an accelerated phase of ex-pansion.Accordingly,our study aims to probe the current scenario of the universe with the aid of the reconstructi...Recent developments in the exploration of the universe suggest that it is in an accelerated phase of ex-pansion.Accordingly,our study aims to probe the current scenario of the universe with the aid of the reconstruction technique.The primary factor that describes cosmic evolution is the deceleration parameter.Here,we provide a physically plausible,newly defined model-independent parametric form of the deceleration parameter.Further,we constrain the free parameters through statistical MCMC analysis for different datasets,including the most recent Pantheon+.With the statistically obtained results,we analyze the dynamics of the model through the phase trans-ition,EoS parameter,and energy conditions.Also,we make use of the tool Om diagnostic to test our model.展开更多
For 163 metal-rich Quasars, the mv-logZ diagram shows a very close correlation. Using multiple regression analysis for these sources ( N = 163), we obtained q0 = 1. 142 and correlation coef-ficient γ = 0.69. These re...For 163 metal-rich Quasars, the mv-logZ diagram shows a very close correlation. Using multiple regression analysis for these sources ( N = 163), we obtained q0 = 1. 142 and correlation coef-ficient γ = 0.69. These results suggested that the Universe is closed and all metal-rich quasars are of a single category. On the other hand, the evolution is very small at Z≤2 for metal-rich quasars.展开更多
基金Project supported by the National Natural Science Foundation of China(Grant Nos.61174021 and 61473136)
文摘A guidance policy for controller performance enhancement utilizing mobile sensor-actuator networks （MSANs） is proposed for a class of distributed parameter systems （DPSs）, which are governed by diffusion partial differential equations （PDEs） with time-dependent spatial domains. Several sufficient conditions for controller performance enhancement are presented. First, the infinite dimensional operator theory is used to derive an abstract evolution equation of the systems under some rational assumptions on the operators, and a static output feedback controller is designed to control the spatial process. Then, based on Lyapunov stability arguments, guidance policies for collocated and non-collocated MSANs are provided to enhance the performance of the proposed controller, which show that the time-dependent characteristic of the spatial domains can significantly affect the design of the mobile scheme. Finally, a simulation example illustrates the effectiveness of the proposed policy.
基金Project supported by the National Natural Science Foundation of China (Grant Nos. 10573003 and 10703001)Specialized Research Fund for the Doctoral Program of Higher Education of China (Grant No. 20070141034)
文摘In this paper, the properties of dark energy are investigated according to the parameterized deceleration parameter q（z）, which is used to describe the extent of the accelerating expansion of the universe. The potential of dark energy V（φ） and the cosmological parameters, such as the dimensionless energy density Ωφ, Ωm, and the state parameter wφ, are connected to it. Concretely, by giving two kinds of parameterized deceleration parameters q（z） = a ＋ bz/（1 ＋ z） and q（z） = 1/2 ＋ （az ＋ b）/（1 ＋ z）^2, the evolution of these parameters and the reconstructed potentials V（φ） are plotted and analysed. It is found that the potentials run away with the evolution of universe.
文摘The evolution of the quintessence in various stages of the universe, i.e., the radiation-, matter-, andquintessence-dominated stages, is closely related with the tracking behavior and the deceleration parameter of theuniverse. We gave the explicit relation between the equation-of-state of the quintessence in the epoch of the matter-quintessence equality and the inverse power index of the quintessence potential, obtained the constraint on this potentialparameter comingfrom the present deceleration parameter, i.e., a low inverse power index.We point out that the lowinverse power-law potential with a single term cannot work for the tracking solution. In order to have both of the trackerand the suitable deceleration parameter it is necessary to introduce at least two terms in the quintessence potential. Wegive the future evolution of the quintessential universe.
文摘Purpose.Thetheoretical description of Hubble’s diagrams asymmetry of and calculating the anisotropy of the deceleration parameter phenomenon, that was recently found by R.-G.Cai and Z.-L.Tuo.Method. For doing this the concepts of Universe rotation and its two-component model were attracted.Result.Our result is in good correlation (case of the upper magnitude index) with the value that was got in [1].Significance. The result of article gives new basing of the Universe rotation axis existence.
文摘Bianchi type-IX cosmological models with variable equation of state (EoS) parameter have been investigated in general relativity when universe is filled with dark energy. The field equations have been solved by considering (i) q=B (variable);(ii) , where k and m are constants;(iii) , where k is constant and R is average scale factor;(iv) which gives . This renders early decelerating and late time accelerating cosmological models. The physical and geometrical properties of the models are also discussed.
文摘We have studied Locally Rotationally Symmetric (LRS) Bianchi type-I cosmological model filled with anisotropic fluid in general theory of relativity. The solutions of the field equations are obtained by using special form of deceleration parameter which gives early deceleration and late time accelerating cosmological model. The geometrical and physical aspect of the model is also studied.
文摘In the present study, a homogeneous and anisotropic LRS Bianchi type I universe model is considered in <i>f</i>(<i>R</i>, <i>T</i>) theory of gravity. In order to find an exact solution of the field equations of the model, the model presented is based on a unique condition of periodically time varying deceleration parameter. The physical and geometrical characteristics of the universe model have been studied. It has been shown that the model has point-type singularity and all the cosmological parameters possess periodic time behavior. The model has a cyclic expansion history, for example, the model starts with the decelerating expansion, and later it transits to an accelerating phase of expansion and then goes to super-exponential phase of expansion in a period.
基金National Natural Science Foundation of China(No.40474065)the National TCM Project in the 11th Five-Year Plan Period of China(No.2006BAB01B01)
文摘Based on the first linearized Boussincsq equation, the analytical solution of the transient groundwater model, which is used for describing phreatic flow in a semiinfinite aquifer bounded by a linear stream and subjected to time-dependent vertical seepage, is derived out by Laplace transform and the convolution integral. According to the mathematical characteristics of the solution, different methods for estimating aquifer parameters are constructed to satisfy different hydrological conditions. Then, tile equation for estimating water exchange between stream and aquifer is proposed, and a recursion equation or estimating the intensity of phreatic evaporation is also proposed. A phreatic aquifer stream system located in Huaibei Plain, Anhui Province, China, is taken as an example to demonstrate tile estimation process of the methods stated herein.
文摘This paper proposes a new personal tour planning problem with time-dependent satisfactions, traveling and activity duration times for sightseeing. It is difficult to represent the time-dependent model using general static network models, and hence, Time-Expanded Network (TEN) is introduced. The TEN contains a copy to the set of nodes in the underlying static network for each discrete time step, and it turns the problem of determining an optimal flow over time into a classical static network flow problem. Using the proposed TEN-based model, it is possible not only to construct various variations with time of costs and satisfactions flexibly in a single network, but also to select optimal departure places and accommodations according to the tour route with tourist’s favorite places and to obtain the time scheduling of tour route, simultaneously. The proposed model is formulated as a 0 - 1 integer programming problem which can be applied by existing useful combinatorial optimization and soft computing algorithms. It’s also equivalently transformed into several existing tour planning problems using some natural assumptions. Furthermore, comparing the proposed model with some previous models using a numerical example with time-dependent parameters, both the similarity of these models in the static network and the advantage of the proposed TEN-based model are obtained.
文摘In this study,the Bianchi Space Metric-I cosmological model is introduced within the context of the Saez-Ballester theory of gravitation,including the incorporation of scale factors in the framework of gravity.The objective is to derive an exact solution for the cosmological field equation,with consideration given to the Landau and Lifshitz energy tensor.This solution includes a metric potential comprising commoving vectors and an energy conservation equation.Within this framework,a set of relations between the deceleration parameter,Hubble parameter,and average scale factor is established.By adopting a probable set of relations,the influence of the dynamics of the deceleration parameter on energy density and isotropic pressure,particularly in exponential form,is explored.A key proposal involves the utilization of a linearly decelerating parameter alongside exponential scale factors.The results are presented graphically,offering insights into potential future cosmological models.These graphical representations are intended to facilitate the understanding of numerous physical and kinematical properties inherent in the cosmological model under investigation.
基金supported in part by the National Key Research and Development Program of China (Grant No.2020YFC2201504)the National Natural Science Foundation of China (Grant Nos.12588101 and 12535002)。
文摘We investigate the null tests of cosmic accelerated expansion by using the baryon acoustic oscillation(BAO)data measured by the dark energy spectroscopic instrument(DESI)and reconstruct the dimensionless Hubble parameter E(z)from the DESI BAO Alcock-Paczynski(AP)data using Gaussian process to perform the null test.We find strong evidence of accelerated expansion from the DESI BAO AP data.By reconstructing the deceleration parameter q(z) from the DESI BAO AP data,we find that accelerated expansion persisted until z■0.7 with a 99.7%confidence level.Additionally,to provide insights into the Hubble tension problem,we propose combining the reconstructed E(z) with D_(H)/r_(d) data to derive a model-independent result r_(d)h=99.8±3.1 Mpc.This result is consistent with measurements from cosmic microwave background(CMB)anisotropies using the ΛCDM model.We also propose a model-independent method for reconstructing the comoving angular diameter distance D_(M)(z) from the distance modulus μ,using SNe Ia data and combining this result with DESI BAO data of D_(M)/r_(d) to constrain the value of r_(d).We find that the value of r_(d),derived from this model-independent method,is smaller than that obtained from CMB measurements,with a significant discrepancy of at least 4.17σ.All the conclusions drawn in this paper are independent of cosmological models and gravitational theories.
文摘Recent developments in the exploration of the universe suggest that it is in an accelerated phase of ex-pansion.Accordingly,our study aims to probe the current scenario of the universe with the aid of the reconstruction technique.The primary factor that describes cosmic evolution is the deceleration parameter.Here,we provide a physically plausible,newly defined model-independent parametric form of the deceleration parameter.Further,we constrain the free parameters through statistical MCMC analysis for different datasets,including the most recent Pantheon+.With the statistically obtained results,we analyze the dynamics of the model through the phase trans-ition,EoS parameter,and energy conditions.Also,we make use of the tool Om diagnostic to test our model.
文摘For 163 metal-rich Quasars, the mv-logZ diagram shows a very close correlation. Using multiple regression analysis for these sources ( N = 163), we obtained q0 = 1. 142 and correlation coef-ficient γ = 0.69. These results suggested that the Universe is closed and all metal-rich quasars are of a single category. On the other hand, the evolution is very small at Z≤2 for metal-rich quasars.
