Global stability analysis of a class of delayed cellular neural networks

Authors:
Chuangxia Huang;Lihong Huang;Zhaohui Yuan
Affiliations:
College of Mathematics and Econometrics, Hunan University, Changsha, Hunan 410082, PR China;College of Mathematics and Econometrics, Hunan University, Changsha, Hunan 410082, PR China;College of Mathematics and Econometrics, Hunan University, Changsha, Hunan 410082, PR China
Venue:
Mathematics and Computers in Simulation
Year:
2005

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Abstract

Employing Brouwer's fixed point theorem, matrix theory, a continuation theorem of the coincidence degree and inequality analysis, the authors study further global exponential stability and the existence of periodic solutions of a class of cellular neural networks with delays (DCNNs) in this paper. A family of sufficient conditions is given for checking global exponential stability and the existence of periodic solutions of DCNNs. The results extend and improve the earlier publications.