Stability in delayed Cohen–Grossberg neural networks: LMI optimization approach

descriptionPublicationkeyboard_double_arrow_right Article 01 Dec 2005 English Publisher:Elsevier BVJournal:Physica D: Nonlinear Phenomena, volume 212, pages 54-65 (issn: 0167-2789,

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Authors: Cao, Jinde; Li, Xiaolin;

doi: 10.1016/j.physd.2005.09.005

Stability in delayed Cohen–Grossberg neural networks: LMI optimization approach

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Abstract

The authors investigate stability problems for a class of delayed Cohen-Grossberg neural networks. On the basis of the linear matrix inequality (LMI) optimization approach, and also by combining the Lyapunov-Krasovskii functional method with the Halanay inequality technique, several new sufficient criteria are given for establishing global asymptotic stability and exponential stability of the equilibrium point for this system.

Related Organizations

Southeast University
China (People's Republic of)

Keywords

Cohen-Grossberg, asymptotic stability, Stability theory of functional-differential equations, Lyapunov-Krasovskii functional, Neural networks for/in biological studies, artificial life and related topics, neural networks, linear matrix inequality

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