Global exponential stability of uncertain neural networks with discontinuous Lurie-type activation and mixed delays

详细信息    查看全文

• 作者：Sitian Qin^a ; ^{qinsitian@163.com" class="auth_mail" title="E-mail the corresponding author}Author Vitae ; Qun Cheng^a ; ^{chengqunchn@163.com" class="auth_mail" title="E-mail the corresponding author}Author Vitae ; Guofang Chen^b ; ^{hitbri@126.com" class="auth_mail" title="E-mail the corresponding author}Author Vitae
• 关键词：Neural network with Lurie-type activation and mixed delays ; Global exponential stability ; Leray&ndash ; Schauder alternative theorem ; Lyapunov functional
• 刊名：Neurocomputing
• 出版年：2016
• 出版时间：19 July 2016
• 年：2016
• 卷：198
• 期：Complete
• 页码：12-19
• 全文大小：604 K

文摘

This paper deals with the problem of the global exponential stability of a class of uncertain neural networks with discontinuous Lurie-type activation and mixed delays. By establishing a new sufficient condition, we first prove the existence of the equilibrium point by using the Leray–Schauder alternative theorem. Then, by employing a new Lyapunov functional, we obtain the global exponential stability of the equilibrium point of the uncertain neural network. In the end, some comparisons and numerical examples are given to show the improvement of the conclusions in this paper.