Nonlinear norm-observability notions and stability of switched systems

被引：242

作者：

Hespanha, JP ^{[1
]}

Liberzon, D

Angeli, D

Sontag, ED

机构：

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

[2] Univ Illinois, Coordinated Sci Lab, Urbana, IL 61801 USA

[3] Univ Florence, Dipartimento Sistemi & Informat, I-50139 Florence, Italy

[4] Rutgers State Univ, Dept Math, New Brunswick, NJ 08903 USA

来源：

IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 2005年 / 50卷 / 02期

基金：

美国国家科学基金会;

关键词：

LaSalle's stability theorem; nonlinear system; observability; switched system;

D O I：

10.1109/TAC.2004.841937

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 paper proposes several definitions of "norm-observability" for nonlinear systems and explores relationships among them. These observability properties involve the existence of a bound on the norm of the state in terms of the norms of the output and the input on some time interval. A Lyapunov-like sufficient condition for norm-observability is also obtained. As an application, we prove several variants of LaSalle's stability theorem for switched nonlinear systems. These results are demonstrated to be useful for control design in the presence of switching as well as for developing stability results of Popov type for switched feedback systems.

引用

页码：154 / 168

页数：15

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