Global exponential stability of nonautonomous neural networks with time-varying delays and reaction-diffusion terms

DOI10.1016/j.cam.2009.07.013zbMath1177.35239OpenAlexW2155516198MaRDI QIDQ732129

Jurang Yan, Jinxian Li, Fengqin Zhang

Publication date: 9 October 2009

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

Full work available at URL: https://doi.org/10.1016/j.cam.2009.07.013

zbMATH Keywords

delayneural networksreaction-diffusionglobal exponential stability

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Partial differential inequalities and systems of partial differential inequalities (35R45) PDEs on graphs and networks (ramified or polygonal spaces) (35R02)

Related Items (5)

Exponential stabilization of non-autonomous delayed neural networks via Riccati equations ⋮ Attractivity in time-periodic parabolic systems and application to reaction-diffusion neural networks ⋮ Exponential and almost sure exponential stability of stochastic fuzzy delayed Cohen-Grossberg neural networks ⋮ Attracting and invariant sets of non-autonomous reaction-diffusion neural networks with time-varying delays ⋮ A new inequality of \(\mathcal{L}\)-operator and its application to stochastic non-autonomous impulsive neural networks with delays

Cites Work

• Delay differential equations: with applications in population dynamics
• Global asymptotic stability of BAM neural networks with distributed delays and reaction-diffusion terms
• Dynamics of Cohen-Grossberg neural network with variable coefficients and time-varying delays
• Existence of periodic oscillatory solution of reaction-diffusion neural networks with delays
• Dynamical analysis of Cohen-Grossberg neural networks with finite and infinite delays
• Global exponential stability of reaction-diffusion recurrent neural networks with time-varying delays
• Theory and applications of partial functional differential equations
• Absolutely exponential stability of a class of neural networks with unbounded delay
• Global exponential stability of BAM neural networks with distributed delays and reaction-diffusion terms
• Global exponential stability and periodicity of reaction-diffusion delayed recurrent neural networks with Dirichlet boundary conditions
• Global dynamics for non-autonomous reaction-diffusion neural networks with time-varying delays
• Global exponential stability and periodicity of recurrent neural networks with time delays

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