Generalized switching signals for input-to-state stability of switched systems

被引：75
|
作者：
Kundu, Atreyee [1 ]
Chatterjee, Debasish [2 ]
Liberzon, Daniel [3 ]
机构：
[1] Eindhoven Univ Technol, Dept Mech Engn, Control Syst Technol Grp, NL-5600 MB Eindhoven, Netherlands
[2] Indian Inst Technol, Syst & Control Engn, Bombay 400076, Maharashtra, India
[3] Univ Illinois, Coordinated Sci Lab, Urbana, IL 61801 USA
来源：
AUTOMATICA | 2016年 / 64卷
基金：
美国国家科学基金会;
关键词：
Switched systems; Input-to-state stability; Multiple-ISS Lyapunov functions;
D O I：
10.1016/j.automatica.2015.11.027
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
This article deals with input-to-state stability (ISS) of continuous-time switched nonlinear systems. Given a family of systems with exogenous inputs such that not all systems in the family are ISS, we characterize a new and general class of switching signals under which the resulting switched system is ISS. Our stabilizing switching signals allow the number of switches to grow faster than an affine function of the length of a time interval, unlike in the case of average dwell time switching. We also recast a subclass of average dwell time switching signals in our setting and establish analogs of two representative prior results. (C) 2015 Elsevier Ltd. All rights reserved.
引用
收藏
页码：270 / 277
页数：8
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