LMI conditions to global Mittag-Leffler stability of fractional-order neural networks with impulses

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• 作者：Huaiqin Wu ; ^{huaiqinwu@ysu.edu.cn" class="auth_mail" title="E-mail the corresponding author}Author Vitae ; Xinxin Zhang ^{zhangxinxin0723@163.com" class="auth_mail" title="E-mail the corresponding author}Author Vitae ; Shunhui XueAuthor Vitae ; Lifei WangAuthor Vitae ; Yu WangAuthor Vitae
• 关键词：Fractional-order neural networks ; Mittag-Leffler stability ; LMIs ; Impulses ; Topological degree
• 刊名：Neurocomputing
• 出版年：2016
• 出版时间：12 June 2016
• 年：2016
• 卷：193
• 期：Complete
• 页码：148-154
• 全文大小：667 K

文摘

This paper is concerned with the global Mittag-Leffler stability issue for fractional-order neural networks with impulse effects. Based on the properties of topological degree, the existence of the network equilibrium point is proved, and the expression of solution is given. An inequality for the Caputo fractional derivative, with 0<γ<1$0<\gamma <1$, is improved, which plays central roles in the investigation of the global Mittag-Leffler stability. Applying the fractional Lyapunov method with impulses, the global Mittag-Leffler stability condition is presented in terms of linear matrix inequalities (LMIs). Finally, an illustrative example is given to demonstrate the effectiveness of the theoretical results.