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Asymptotic Stability of Transiently Chaotic Neural Networks
Authors:Email author" target="_blank">Qiang?ZhangEmail author  Xiaopeng?Wei  Jin?Xu
Institution:(1) Key Lab of Information Science & Engineering, Dalian University, Dalian, 116622, China;(2) School of Mechanical Engineering, Dalian University of Technology, Dalian, 116024, China
Abstract:The asymptotic stability of transiently chaotic neural networks is considered in this paper. By utilizing a Lyapunov function and then applying LaSalle's invariance principle, we present several sufficient conditions that guarantee the stability. These results are less conservative than those established in the earlier references. Two numerical examples are given to illustrate the applicability of these conditions.
Keywords:asymptotic stability  LaSalle's invariance principle  Lyapunov function  transiently chaotic neural networks
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