An invariance principle for nonlinear switched systems

被引：127

作者：

Bacciotti, A ^{[1
]}

Mazzi, L ^{[1
]}

机构：

[1] Politecn Torino, Dipartimento Matemat, I-10129 Turin, Italy

来源：

SYSTEMS & CONTROL LETTERS | 2005年 / 54卷 / 11期

关键词：

switched systems; stability; invariance principle; dwell time;

D O I：

10.1016/j.sysconle.2005.04.003

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

In this paper we address the problem of extending LaSalle Invariance Principle to switched system. We prove an extension of the invariance principle relative to dwell time switched solutions, and a second one relative to constrained switched systems. (c) 2005 Elsevier B.V. All rights reserved.

引用

页码：1109 / 1119

页数：11

共 17 条

[1] Stabilization by means of state space depending switching rules [J].

Bacciotti, A .

SYSTEMS & CONTROL LETTERS, 2004, 53 (3-4) :195-201

[2]

Bacciotti A., 1999, ESAIM. Control, Optimisation and Calculus of Variations, V4, P361, DOI 10.1051/cocv:1999113

[3] Stability of planar switched systems: The linear single input case [J].

Boscain, U .

SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2002, 41 (01) :89-112

[4] Multiple Lyapunov functions and other analysis tools for switched and hybrid systems [J].

Branicky, MS .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1998, 43 (04) :475-482

[5] A converse Lyapunov theorem for a class of dynamical systems which undergo switching [J].

Dayawansa, WP ;

Martin, CF .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1999, 44 (04) :751-760

[6] Perspectives and results on the stability and stabilizability of hybrid systems [J].

DeCarlo, RA ;

Branicky, MS ;

Pettersson, S ;

Lennartson, B .

PROCEEDINGS OF THE IEEE, 2000, 88 (07) :1069-1082

[7]

Filippov A.F., 1988, MATH ITS APPL SOVIET, V18

[8] Nonlinear norm-observability notions and stability of switched systems [J].

Hespanha, JP ;

Liberzon, D ;

Angeli, D ;

Sontag, ED .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2005, 50 (02) :154-168

[9] Uniform stability of switched linear systems: Extensions of LaSalle's invariance principle [J].

Hespanha, JP .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2004, 49 (04) :470-482

[10]

Lefschetz J., 1961, STABILITY LYAPUNOVS

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