Global stability analysis in Cohen-Grossberg neural networks with delays and inverse Hölder neuron activation functions

DOI10.1016/j.ins.2010.06.033zbMath1195.93124OpenAlexW2041146212MaRDI QIDQ2638200

Huaiqin Wu, Yingwei Li

Publication date: 15 September 2010

Published in: Information Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ins.2010.06.033

zbMATH Keywords

neural networkstopological degreeglobal exponential stabilityCohen-Grossberg modelinverse Hölder functions

Mathematics Subject Classification ID

Neural networks for/in biological studies, artificial life and related topics (92B20) Asymptotic stability in control theory (93D20) Chaos control for problems involving ordinary differential equations (34H10)

Related Items (11)

Stability criteria for Cohen-Grossberg neural networks with mixed delays and inverse Lipschitz neuron activations ⋮ Novel global robust exponential stability criterion for uncertain inertial-type BAM neural networks with discrete and distributed time-varying delays via Lagrange sense ⋮ Global stability analysis of discrete-time coupled systems on networks and its applications ⋮ Algebra criteria for global exponential stability of multiple time-varying delay Cohen-Grossberg neural networks ⋮ Global convergence of neural networks with mixed time-varying delays and discontinuous neuron activations ⋮ Quasi projective synchronization of time varying delayed complex valued Cohen-Grossberg neural networks ⋮ Global exponential stability of Markovian jumping stochastic impulsive uncertain BAM neural networks with leakage, mixed time delays, and \(\alpha\)-inverse Hölder activation functions ⋮ A graph-theoretic approach to boundedness of stochastic Cohen-Grossberg neural networks with Markovian switching ⋮ New property of a generalized Hölder's inequality and its applications ⋮ Reversed version of a generalized sharp Hölder's inequality and its applications ⋮ Exponential stability of stochastic delayed neural networks with inverse Hölder activation functions and Markovian jump parameters

Uses Software

• LMI toolbox

Cites Work

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• Global exponential stability of Hopfield neural networks with delays and inverse Lipschitz neuron activations
• Boundedness and stability for Cohen--Grossberg neural network with time-varying delays
• \(p\)th moment stability analysis of stochastic recurrent neural networks with time-varying delays
• Stability in delayed Cohen-Grossberg neural networks: LMI optimization approach
• Absolute stability of global pattern formation and parallel memory storage by competitive neural networks
• Linear Matrix Inequalities in System and Control Theory
• Global asymptotic stability of delayed Cohen-Grossberg neural networks

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