Global stability analysis of a class of delayed cellular neural networks

Chuangxia Huang, Lihong Huang and Zhaohui Yuan

Mathematics and Computers in Simulation (MATCOM), 2005, vol. 70, issue 3, 133-148

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.

Keywords: Cellular neural network; Exponential stability; Periodic solution; Lyapunov functional; Coincidence degree (search for similar items in EconPapers)
Date: 2005
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Citations: View citations in EconPapers (13)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:70:y:2005:i:3:p:133-148

DOI: 10.1016/j.matcom.2005.06.001

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