Exponential stability of Cohen-Grossberg neural networks with a general class of activation functions

DOI10.1016/j.physleta.2005.10.045zbMath1195.34063OpenAlexW2077949341MaRDI QIDQ1957460

Hong Qiao, Anhua Wan, Mian-sen Wang, Ji-Gen Peng

Publication date: 27 September 2010

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physleta.2005.10.045

zbMATH Keywords

exponential stabilityCohen-Grossberg neural networksexponential decay estimatenonlinear measure

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Neural networks for/in biological studies, artificial life and related topics (92B20) Asymptotic theory of functional-differential equations (34K25) Periodic solutions to functional-differential equations (34K13)

Related Items (6)

On the asymptotic stability of a neural network on a time scale ⋮ Stability and Hopf bifurcation of a delayed Cohen-Grossberg neural network with diffusion ⋮ Comment on: ``Dynamical analysis of Cohen-Grossberg neural networks with distributed delays ⋮ Global exponential stability of Cohen-Grossberg neural networks with variable delays ⋮ Delay-independent criteria for exponential stability of generalized Cohen-Grossberg neural networks with discrete delays ⋮ Exponential stability of equilibria of differential equations with time-dependent delay and non-Lipschitz nonlinearity

Cites Work

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• Criteria for exponential stability of Cohen-Grossberg neural networks
• Delay-independent stability analysis of Cohen-Grossberg neural networks
• Globally exponential stability of generalized Cohen-Grossberg neural networks with delays
• On exponential stability of delayed neural networks with a general class of activation functions
• On the stability of a Tank and Hopfield type neural network in the general case of complex eigenvalues
• Necessary and sufficient condition for absolute stability of neural networks
• New Conditions on Global Stability of Cohen-Grossberg Neural Networks

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