2013•Journal of Yunnan University of NationalitiesRequires access

Analysis of a class of global asymptotic stability of delayed cellular neural networks

Baosheng Zhang

Abstract

The global asymptotic stability of delayed cellular neural networks(DCNNS) is discussed,By using of the Lyapunov functional method and mean equality a1a2…ak≤1 k(ak1+ak2+…+akk)(a10,i=1,2,3,…,k),a class of new Lyapunov functions is proposed.The global asymptotic stability of DCNNS is analyzed again and some sufficient conditions are obtained for the global asymptotic stability of DCNNS,a method to design a model of the delayed cellular neural networks with global asymptotic stability is obtained.

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Key concepts: Exponential stability, Cellular neural network, Class (philosophy), Stability (learning theory), Artificial neural network, Mathematics, Control theory (sociology), Applied mathematics