Characterizations of input-to-state stability for hybrid systems

被引：233

作者：

Cai, Chaohong ^{[1
]}

Teel, Andrew R. ^{[2
]}

机构：

[1] United Technol Res Ctr, Dept Syst, E Hartford, CT 06108 USA

[2] Univ Calif Santa Barbara, Dept Elect & Comp Engn, Santa Barbara, CA 93106 USA

来源：

SYSTEMS & CONTROL LETTERS | 2009年 / 58卷 / 01期

基金：

美国国家科学基金会;

关键词：

Hybrid systems; Input-to-state stability; Characterizations; Lyapunov functions; CONVERSE LYAPUNOV THEOREM;

D O I：

10.1016/j.sysconle.2008.07.009

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

We study input-to-state stability (ISS) for a broad class of hybrid systems, which are combinations of a differential equation on a constraint set and a difference equation on another constraint set. For this class of hybrid systems, we establish the equivalence of ISS, nonuniform ISS, and the existence of a smooth ISS-Lyapunov function by "additionally" assuming that the right-hand side of the differential equation has a convex property with respect to inputs. Moreover, we demonstrate by examples that the equivalence may fail when such a convexity assumption is removed. (C) 2008 Elsevier B.V. All rights reserved.

引用

页码：47 / 53

页数：7

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