Robust exponential stability of uncertain impulsive delays differential systems

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• 作者：Dengwang Li^a ; ^{sodymath@163.com" class="auth_mail" title="E-mail the corresponding author}Author Vitae ; Xiaodi Li^a ; ^b ; Author Vitae
• 关键词：Exponential stability ; Uncertainty ; Impulsive control systems ; Infinite delays ; Robustness
• 刊名：Neurocomputing
• 出版年：2016
• 出版时间：26 May 2016
• 年：2016
• 卷：191
• 期：Complete
• 页码：12-18
• 全文大小：341 K

文摘

This paper deals with the robust stability of a class of uncertain impulsive control systems with infinite delays. By employing the formula for the variation of parameters and estimating the Cauchy matrix, several criteria on robust exponential stability of the systems are derived, these criteria are less restrictive than those in the earlier publications. Moreover, the criteria can be applied to stabilize the unstable continuous systems with infinite delays and uncertainties by utilizing impulsive control. Finally, two numerical examples are given to illustrate the effectiveness and advantages of the proposed method.