Effect of delayed impulses on input-to-state stability of nonlinear systems

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• 作者：Xiaodi Li^a ; ^b ; ^{sodymath@163.com} ; Xiaoli Zhang^a ; ^b ; Shiji Song^c ; ^{shijis@tsinghua.edu.cn}
• 关键词：Nonlinear systems ; Delayed impulses ; Lyapunov methods ; Input-to-state stability ; Integral input-to-state stability
• 刊名：Automatica
• 出版年：2017
• 出版时间：February 2017
• 年：2017
• 卷：76
• 期：Complete
• 页码：378-382
• 全文大小：423 K
• 卷排序：76

文摘

This paper studies the input-to-state stability (ISS) and integral input-to-state stability (iISS) of nonlinear systems with delayed impulses. By using Lyapunov method and the analysis technique proposed by Hespanha et al. (2005), some sufficient conditions ensuring ISS/iISS of the addressed systems are obtained. Those conditions establish the relationship between impulsive frequency and the time delay existing in impulses, and reveal the effect of delayed impulses on ISS/iISS. An example is provided to illustrate the efficiency of the obtained results.