Construction of Time-Varying ISS-Lyapunov Functions for Impulsive Systems

被引：0
|
作者：
Bachmann, Patrick [1 ]
Ahmed, Saeed [2 ]
机构：
[1] Univ Wurzburg, Inst Math, Wurzburg, Germany
[2] Univ Groningen, Fac Sci & Engn, Jan C Willems Ctr Syst & Control, ENTEG, NL-9747 AG Groningen, Netherlands
来源：
IFAC PAPERSONLINE | 2023年 / 56卷 / 01期
基金：
荷兰研究理事会;
关键词：
Impulsive systems; input-to-state stability; ISS-Lyapunov function; TO-STATE STABILITY;
D O I：
10.1016/j.ifacol.2023.02.001
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
Time-varying ISS-Lyapunov functions for impulsive systems provide a necessary and sufficient condition for ISS. This property makes them a more powerful tool for stability analysis than classical candidate ISS-Lyapunov functions providing only a sufficient ISS condition. Moreover, time-varying ISS-Lyapunov functions cover systems with simultaneous instability in continuous and discrete dynamics for which candidate ISS-Lyapunov functions remain inconclusive. The present paper links these two concepts by suggesting a method of constructing time-varying ISS-Lyapunov functions from candidate ISS-Lyapunov functions, thereby effectively combining the ease of construction of candidate ISS-Lyapunov functions with the guaranteed existence of time-varying ISS-Lyapunov functions. Copyright (c) 2023 The Authors. This is an open access article under the CC BY-NC-ND license (https: //creativecommoris,oriz licenses by-nc-nd/4.0/)
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页码：1 / 6
页数：6
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