The Experts below are selected from a list of 172047 Experts worldwide ranked by ideXlab platform
Guowei Yang - One of the best experts on this subject based on the ideXlab platform.
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exponential stability of impulsive stochastic fuzzy reaction diffusion cohen grossberg neural networks with mixed delays
Neurocomputing, 2012Co-Authors: Changhong Wang, Guowei YangAbstract:The problem of mean square exponential stability for a class of impulsive stochastic fuzzy Cohen-Grossberg networks with mixed delays and reaction-diffusion terms is investigated in this paper. By using the properties of ''M-cone'', eigenspace of the spectral radius of nonnegative matrices, Lyapunov functional, Ito's formula and inequality techniques, several sufficient conditions guaranteeing the mean square exponential stability of its Equilibrium Solution are obtained. These results extend and improve the earlier publications. Two examples are presented to illustrate the effectiveness and efficiency of the results.
Mary R Lupa - One of the best experts on this subject based on the ideXlab platform.
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introducing feedback into four step travel forecasting procedure versus Equilibrium Solution of combined model
Transportation Research Record, 1994Co-Authors: David E Boyce, Yufang Zhang, Mary R LupaAbstract:The manner in which the Solutions produced by various methods of introducing "feedback" into the four-step travel forecasting procedure compare with the Equilibrium Solution of a model combining the trip distribution, mode split, and assignment steps was examined. The comparisons were performed on a sketch-planning model of the Chicago region with about 300 zones and 3,000 highway links. From these comparisons one can learn that iterating the four-step procedure in an ad hoc manner does not produce the desired result. Instead one needs to apply an algorithm designed to converge to a well-defined Equilibrium of the travel flows and the link times and costs determined by these flows. Progress in improving travel forecasts will not result from calls for solving the four-step procedure with feedback. Rather progress will be made as professional practitioners begin to understand the requirements of the desired Equilibrium Solutions. Then they must insist that their software developers correctly implement the algorithms required to compute these Solutions. Finally they should insist that FHWA short courses introduce participants to contemporary Solution methods that yield the desired Equilibrium properties. Likewise university instructors and textbook authors should update their courses to produce a new generation of professionals who understand the principles of Equilibrium travel models.
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possible schemes for introducing feedback into the four step travel forecasting procedure vs the Equilibrium Solution of a combined model comparisons for the chicago region
1993Co-Authors: David E Boyce, Mary R Lupa, Yf ZhangAbstract:The objective of this paper is to examine how Solutions produced by various methods of introducing "feedback" into the four-step travel forecasting procedure compare with the Equilibrium Solution of a model combining the trip distribution, mode split and assignment steps. The comparisons are performed on a sketch-planning model of the Chicago Region with about 300 zones and 3,000 highway links. From these comparisons, one can learn that iterating the four-step process in some ad hoc manner does not produce the desired result. Instead, one needs to apply an algorithm designed to converge to a well-defined Equilibrium of travel flows and the link times and costs determined by these flows. Progress in improving travel forecasts will not result from calls for solving the four-step process with "feedback". Rather, progress will be made as professional practitioners begin to understand the requirements of the desired Equilibrium Solutions. Then, they must insist that their software developers correctly implement the algorithms required to compute these Solutions. Finally, they should insist that FHWA short courses introduce participants to contemporary Solution methods that yield the desired Equilibrium properties. Likewise, university instructors and textbook authors should update their courses to produce a new generation of professionals that understand the principles of Equilibrium travel models.
Mingxin Wang - One of the best experts on this subject based on the ideXlab platform.
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global stability of nonhomogeneous Equilibrium Solution for the diffusive lotka volterra competition model
Calculus of Variations and Partial Differential Equations, 2020Co-Authors: Wenjie Ni, Mingxin WangAbstract:A diffusive Lotka–Volterra competition model is considered and the combined effect of spatial dispersal and spatial variations of resource on the population persistence and exclusion is studied. A new Lyapunov functional method and a new integral inequality are developed to prove the global stability of non-constant Equilibrium Solutions in heterogeneous environment. The general result is applied to show that in a two-species system in which the diffusion coefficients, resource functions and competition rates are all spatially heterogeneous, the positive Equilibrium Solution is globally asymptotically stable when it exists, and it can also be applied to the system with arbitrary number of species under the assumption of spatially heterogeneous resource distribution, for which the monotone dynamical system theory is not applicable.
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global stability of nonhomogeneous Equilibrium Solution for the diffusive lotka volterra competition model
arXiv: Analysis of PDEs, 2019Co-Authors: Wenjie Ni, Mingxin WangAbstract:A diffusive Lotka-Volterra competition model is considered for the combined effect of spatial dispersal and spatial variations of resource on the population persistence and exclusion. First it is shown that in a two-species system in which the diffusion coefficients, resource functions and competition rates are all spatially heterogeneous, the positive Equilibrium Solution is globally asymptotically stable when it exists. Secondly the existence and global asymptotic stability of the positive and semi-trivial Equilibrium Solutions are obtained for the model with arbitrary number of species under the assumption of spatially heterogeneous resource distribution. A new Lyapunov functional method is developed to prove the global stability of a non-constant Equilibrium Solution in heterogeneous environment.
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note on the lyapunov functional method
Applied Mathematics Letters, 2018Co-Authors: Mingxin WangAbstract:Abstract In this note we introduce a direct approach for the Lyapunov functional method to study the global stability of the unique Equilibrium Solution of reaction diffusion systems and partially degenerate reaction diffusion systems permitting with delays. We first provide the abstract framework and results. Then we give an example as the application.
Changhong Wang - One of the best experts on this subject based on the ideXlab platform.
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exponential stability of impulsive stochastic fuzzy reaction diffusion cohen grossberg neural networks with mixed delays
Neurocomputing, 2012Co-Authors: Changhong Wang, Guowei YangAbstract:The problem of mean square exponential stability for a class of impulsive stochastic fuzzy Cohen-Grossberg networks with mixed delays and reaction-diffusion terms is investigated in this paper. By using the properties of ''M-cone'', eigenspace of the spectral radius of nonnegative matrices, Lyapunov functional, Ito's formula and inequality techniques, several sufficient conditions guaranteeing the mean square exponential stability of its Equilibrium Solution are obtained. These results extend and improve the earlier publications. Two examples are presented to illustrate the effectiveness and efficiency of the results.
Wenjie Ni - One of the best experts on this subject based on the ideXlab platform.
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global stability of nonhomogeneous Equilibrium Solution for the diffusive lotka volterra competition model
Calculus of Variations and Partial Differential Equations, 2020Co-Authors: Wenjie Ni, Mingxin WangAbstract:A diffusive Lotka–Volterra competition model is considered and the combined effect of spatial dispersal and spatial variations of resource on the population persistence and exclusion is studied. A new Lyapunov functional method and a new integral inequality are developed to prove the global stability of non-constant Equilibrium Solutions in heterogeneous environment. The general result is applied to show that in a two-species system in which the diffusion coefficients, resource functions and competition rates are all spatially heterogeneous, the positive Equilibrium Solution is globally asymptotically stable when it exists, and it can also be applied to the system with arbitrary number of species under the assumption of spatially heterogeneous resource distribution, for which the monotone dynamical system theory is not applicable.
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global stability of nonhomogeneous Equilibrium Solution for the diffusive lotka volterra competition model
arXiv: Analysis of PDEs, 2019Co-Authors: Wenjie Ni, Mingxin WangAbstract:A diffusive Lotka-Volterra competition model is considered for the combined effect of spatial dispersal and spatial variations of resource on the population persistence and exclusion. First it is shown that in a two-species system in which the diffusion coefficients, resource functions and competition rates are all spatially heterogeneous, the positive Equilibrium Solution is globally asymptotically stable when it exists. Secondly the existence and global asymptotic stability of the positive and semi-trivial Equilibrium Solutions are obtained for the model with arbitrary number of species under the assumption of spatially heterogeneous resource distribution. A new Lyapunov functional method is developed to prove the global stability of a non-constant Equilibrium Solution in heterogeneous environment.
