Global asymptotic stability to a generalized Cohen-Grossberg BAM neural networks of neutral type delays

Authors:
Zhengqiu Zhang;Wenbin Liu;Dongming Zhou
Affiliations:
College of Mathematics, Hunan University, Changsha 410082, PR China;Department of Information and Management, Hunan College of Finance and Economics, Changsha, 410205, PR China;Information College, Yunnan University, Yunnan, Kunming, 650091, PR China
Venue:
Neural Networks
Year:
2012

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Abstract

In this paper, we first discuss the existence of a unique equilibrium point of a generalized Cohen-Grossberg BAM neural networks of neutral type delays by means of the Homeomorphism theory and inequality technique. Then, by applying the existence result of an equilibrium point and constructing a Lyapunov functional, we study the global asymptotic stability of the equilibrium solution to the above Cohen-Grossberg BAM neural networks of neutral type. In our results, the hypothesis for boundedness in the existing paper, which discussed Cohen-Grossberg neural networks of neutral type on the activation functions, are removed. Finally, we give an example to demonstrate the validity of our global asymptotic stability result for the above neural networks.