LMI-based approach for global exponential robust stability for reaction-diffusion uncertain neural networks with time-varying delay

DOI10.1016/j.chaos.2008.04.020zbMath1198.93168OpenAlexW1964042709MaRDI QIDQ602397

Zhe Zhang, Linshan Wang, Yangfan Wang, Yan Zhang

Publication date: 4 November 2010

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.chaos.2008.04.020

Mathematics Subject Classification ID

Control/observation systems governed by partial differential equations (93C20) Reaction-diffusion equations (35K57) Neural networks for/in biological studies, artificial life and related topics (92B20) Robust stability (93D09)

Related Items (4)

Global robust exponential stability for Hopfield neural networks with non-Lipschitz activation functions ⋮ Robust exponential stability for interval neural networks with delays and non-Lipschitz activation functions ⋮ Synchronization of stochastic chaotic neural networks with reaction-diffusion terms ⋮ Novel criteria on global robust exponential stability to a class of reaction-diffusion neural networks with delays

Cites Work

• Unnamed Item
• Global asymptotic stability of BAM neural networks with distributed delays and reaction-diffusion terms
• Global exponential stability of Hopfield reaction-diffusion neural networks with time-varying delays
• Exponential stability of delayed recurrent neural networks with Markovian jumping parameters
• Sliding mode control in infinite-dimensional systems
• Infinite-dimensional dynamical systems in mechanics and physics.
• Asymptotic behavior of a class of reaction--diffusion equations with delays
• Global exponential stability and existence of periodic solutions in BAM networks with delays and reaction-diffusion terms
• 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
• Exponential stability of reaction-diffusion generalized Cohen-Grossberg neural networks with time-varying delays
• Global exponential stability and periodicity of cellular neural networks with variable delays
• Decentralized robust H-infinity descriptor output feedback control for value-bounded uncertain descriptor large-scale systems
• An LMI approach to dencentralized H8 control
• Cellular neural networks: theory
• Linear Matrix Inequalities in System and Control Theory
• Novel robust stability criteria for interval-delayed Hopfield neural networks
• Approximation of Neural Network Dynamics by Reaction-Diffusion Equations
• Global asymptotic stability of a general class of recurrent neural networks with time-varying delays
• Global robust stability of delayed neural networks

This page was built for publication: LMI-based approach for global exponential robust stability for reaction-diffusion uncertain neural networks with time-varying delay