Exponential stability for a class of stochastic reaction-diffusion Hopfield neural networks with delays

DOI10.1155/2012/693163zbMath1244.93121DBLPjournals/jam/LiangW12OpenAlexW1996819362WikidataQ58907176 ScholiaQ58907176MaRDI QIDQ443037

Linshan Wang, Xiao Liang

Publication date: 6 August 2012

Published in: Journal of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2012/693163

Mathematics Subject Classification ID

Neural networks for/in biological studies, artificial life and related topics (92B20) Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05) Optimal stochastic control (93E20) Stochastic partial differential equations (aspects of stochastic analysis) (60H15)

Related Items (5)

LMI approach to exponential stability and almost sure exponential stability for stochastic fuzzy Markovian-jumping Cohen-Grossberg neural networks with nonlinear \(p\)-Laplace diffusion ⋮ Delay-dependent exponential stability for Markovian jumping stochastic Cohen-Grossberg neural networks with \(p\)-Laplace diffusion and partially known transition rates via a differential inequality ⋮ LMI approach to stability analysis of Cohen-Grossberg neural networks with \(p\)-Laplace diffusion ⋮ Robust exponential stability of impulsive stochastic neural networks with leakage time-varying delay ⋮ Delay-dependent exponential stability for nonlinear reaction-diffusion uncertain Cohen-Grossberg neural networks with partially known transition rates via Hardy-Poincaré inequality

Uses Software

• Matlab

Cites Work

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• Global exponential stability and periodicity of reaction-diffusion recurrent neural networks with distributed delays and Dirichlet boundary conditions
• Global exponential stability of reaction-diffusion cellular neural networks with S-type distributed time delays
• Dynamics of bidirectional associative memory networks with distributed delays and reaction-diffusion terms
• Global exponential stability of Hopfield reaction-diffusion neural networks with time-varying delays
• Existence of periodic oscillatory solution of reaction-diffusion neural networks with delays
• Dynamical behaviors of fuzzy reaction-diffusion periodic cellular neural networks with variable coefficients and delays
• The role of coefficients of a general SPDE on the stability and convergence of a finite difference method
• Infinite-dimensional dynamical systems in mechanics and physics
• Introduction to functional differential equations
• Global exponential robust stability of reaction-diffusion interval neural networks with time-varying delays
• Stochastic functional evolution equations with monotone nonlinearity: existence and stability of the mild solutions
• Stochastic functional partial differential equations: existence, uniqueness and asymptotic decay property
• COMPLEXITY OF REACTION–DIFFUSION CNN
• Almost sure exponential stability for stochastic partial functional differential equations^∗
• Lyapunov functionals and asymptotic stability of stochastic delay evolution equations
• Mean-Square and Asymptotic Stability of the Stochastic Theta Method
• CONVERGENCE DYNAMICS OF STOCHASTIC REACTION–DIFFUSION RECURRENT NEURAL NETWORKS WITH DELAYS
• Stochastic Equations in Infinite Dimensions

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