文章基本信息

标题：Average Dwell-Time Conditions for Input-to-State Stability of Impulsive Systems
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作者：Patrick Bachmann ; Naim Bajcinca
期刊名称：IFAC PapersOnLine
印刷版ISSN：2405-8963
出版年度：2020
卷号：53
期号：2
页码：1980-1985
DOI：10.1016/j.ifacol.2020.12.2564
语种：English
出版社：Elsevier
摘要：AbstractThis paper provides sufficient conditions for input-to-state stability of impulsive control systems on Banach spaces. The derived conditions determine average dwell-time constraints for a candidate Lyapunov function parametrized by a class of nonlinear rate functions in order to guarantee the ISS property. Thereby, we consider a generalized case with unstable continuous flow maps and assume the jumps, rather than the continuous flow to induce a stabilizing influence on the system dynamics of the impulsive system. Compared to some well-known related and recent results in the literature, such as fixed dwell-time conditions, the obtained conditions are more general, while offering a higher flexibility in the choice of candidate Lyapunov functions.
关键词：KeywordsImpulsive systemhybrid dynamical systeminput-to-state stabilitydwell-time conditionLyapunov function