Boundedness and stability of nonautonomous cellular neural networks with reaction-diffusion terms

DOI10.1016/j.matcom.2008.07.008zbMath1171.35326OpenAlexW2094488735MaRDI QIDQ1005203

Zisen Mao, Hongyong Zhao

Publication date: 9 March 2009

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.matcom.2008.07.008

zbMATH Keywords

equilibrium pointglobally exponential stabilityinequality technique

Mathematics Subject Classification ID

Related Items (6)

Exponential stability and periodicity of fuzzy delayed reaction-diffusion cellular neural networks with impulsive effect ⋮ Stability analysis for impulsive stochastic fuzzy \(p\)-Laplace dynamic equations under Neumann or Dirichlet boundary condition ⋮ Multiple \(\mu \)-stability and multiperiodicity of delayed memristor-based fuzzy cellular neural networks with nonmonotonic activation functions ⋮ 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 ⋮ A new inequality of \(\mathcal{L}\)-operator and its application to stochastic non-autonomous impulsive neural networks with delays

Cites Work

• Global exponential stability of reaction-diffusion recurrent neural networks with time-varying delays
• Global robust stability of delayed recurrent neural networks
• On global exponential stability of cellular neural networks with Lipschitz-continuous activation function and variable delays
• Exponential stability of continuous-time and discrete-time cellular neural networks with delays
• Exponential periodicity and stability of delayed neural networks
• Stability of artificial neural networks with impulses
• Global exponential robust stability of reaction-diffusion interval neural networks with time-varying delays
• Boundedness and exponential stability for nonautonomous cellular neural networks with reaction-diffusion terms
• Global asymptotic stability analysis for cellular neural networks with time delays
• Global stability analysis of a class of delayed cellular neural networks
• New conditions for global exponential stability of cellular neural networks with delays
• Cellular neural networks: theory

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