Global asymptotic stability analysis of discrete-time Cohen-Grossberg neural networks based on interval systems

DOI10.1016/j.na.2007.08.019zbMath1147.93040OpenAlexW1990082930MaRDI QIDQ949664

Mei-Qin Liu

Publication date: 21 October 2008

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2007.08.019

zbMATH Keywords

global asymptotic stabilitydiscrete timetime-delay systeminterval systemlinear matrix inequality (LMI)Cohen-Grossberg neural network

Mathematics Subject Classification ID

Neural networks for/in biological studies, artificial life and related topics (92B20) Discrete-time control/observation systems (93C55) Asymptotic stability in control theory (93D20)

Related Items (7)

Global robust exponential stability of discrete-time interval BAM neural networks with time-varying delays ⋮ Robust dissipativity and passivity analysis for discrete-time stochastic T-S fuzzy Cohen-Grossberg Markovian jump neural networks with mixed time delays ⋮ Exponential stability for discrete-time stochastic BAM Neural Networks with discrete and distributed Delays ⋮ Boundedness and stability for discrete-time delayed neural network with complex-valued linear threshold neurons ⋮ Global exponential stability of BAM neural networks with time-varying delays: the discrete-time case ⋮ Impulsive stabilization for a class of neural networks with both time-varying and distributed delays ⋮ Exponential stability criteria for discrete-time recurrent neural networks with time-varying delay

Uses Software

• Matlab
• LMI toolbox

Cites Work

• Boundedness and stability for Cohen--Grossberg neural network with time-varying delays
• Global robust asymptotical stability of multi-delayed interval neural networks: an LMI approach
• Absolute stability of global pattern formation and parallel memory storage by competitive neural networks
• Robust stabilization of uncertain linear systems: quadratic stabilizability and H/sup infinity / control theory
• Linear Matrix Inequalities in System and Control Theory
• Global asymptotic stability of delayed Cohen-Grossberg neural networks

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