Piecewise pseudo-almost periodic solution for impulsive non-autonomous high-order Hopfield neural networks with variable delays

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• 作者：Chao Wang ^{chaowang@ynu.edu.cn" class="auth_mail" title="E-mail the corresponding author}Author Vitae
• 关键词：Piecewise pseudo-almost periodic solution ; Non-autonomous high-order Hopfield neural networks ; Impulses ; Existence ; Exponential stability
• 刊名：Neurocomputing
• 出版年：2016
• 出版时间：1 January 2016
• 年：2016
• 卷：171
• 期：Complete
• 页码：1291-1301
• 全文大小：1475 K

文摘

In this paper, we provide a new method to study non-autonomous dynamic systems with variable pseudo-almost periodic coefficients. By using some fixed point theorems in Banach space and inequality technique, some completely new sufficient conditions of the existence and exponential stability of piecewise pseudo-almost periodic solutions are established for impulsive non-autonomous high-order Hopfield neural networks with variable coefficients and delays. Finally, a numerical example and simulations are given to illustrate that the obtained results are feasible and effective. It is the first time that the existence and stability of the pseudo-almost periodic solutions for impulsive nonautonomous neural networks are obtained.