Global dynamics for non-autonomous reaction-diffusion neural networks with time-varying delays

DOI10.1016/J.TCS.2008.04.044zbMath1155.68076OpenAlexW2062499838MaRDI QIDQ2518372

ZhiGuo Yang, Dao Yi Xu

Publication date: 15 January 2009

Published in: Theoretical Computer Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.tcs.2008.04.044

zbMATH Keywords

invariant setdelayreaction-diffusionglobal exponential stabilityattracting setperiodic attractornon-autonomous neural networks

Mathematics Subject Classification ID

Learning and adaptive systems in artificial intelligence (68T05)

Related Items (9)

Global exponential \(p\)-stability of stochastic non-autonomous Takagi-Sugeno fuzzy cellular neural networks with time-varying delays and impulses ⋮ Attractivity in time-periodic parabolic systems and application to reaction-diffusion neural networks ⋮ Discrete-time ZD, GD and NI for solving nonlinear time-varying equations ⋮ Exponential stability and periodicity of fuzzy delayed reaction-diffusion cellular neural networks with impulsive effect ⋮ Global exponential stability of non-autonomous FCNNs with Dirichlet boundary conditions and reaction-diffusion terms ⋮ Stability analysis of stochastic reaction-diffusion Cohen-Grossberg neural networks with time-varying delays ⋮ Attracting and invariant sets of non-autonomous reaction-diffusion neural networks with time-varying delays ⋮ Global exponential stability of nonautonomous neural networks with time-varying delays and reaction-diffusion terms ⋮ A new inequality of \(\mathcal{L}\)-operator and its application to stochastic non-autonomous impulsive neural networks with delays

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