Stability of Switched Systems: An Introduction

被引：1

作者：

Bacciotti, Andrea ^{[1
]}

机构：

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

来源：

LARGE-SCALE SCIENTIFIC COMPUTING, LSSC 2013 | 2014年 / 8353卷

关键词：

Switched systems; Stability; Lyapunov functions; Asymptotic controllability; CONVERSE LYAPUNOV THEOREM; INVARIANCE-PRINCIPLE; STABILIZATION;

D O I：

10.1007/978-3-662-43880-0_7

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

In this note we review some problems typically encountered in the theory of stability of switched systems. Moreover, we present some recent achievements on this subject.

引用

页码：74 / 80

页数：7

共 20 条

[1]

[Anonymous], 2005, COMM CONT E

[2] Stability of dynamical polysystems via families of Liapunov functions [J].

Bacciotti, A. ;

Mazzi, L. .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2007, 67 (07) :2167-2179

[3] An invariance principle for nonlinear switched systems [J].

Bacciotti, A ;

Mazzi, L .

SYSTEMS & CONTROL LETTERS, 2005, 54 (11) :1109-1119

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

Bacciotti, A .

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

[5] Stabilisability of nonlinear systems by means of time-dependent switching rules [J].

Bacciotti, A. ;

Mazzi, L. .

INTERNATIONAL JOURNAL OF CONTROL, 2010, 83 (04) :810-815

[6]

Bacciotti A., 2013, P IFAC NOLCOS C

[7] ASYMPTOTIC CONTROLLABILITY BY MEANS OF EVENTUALLY PERIODIC SWITCHING RULES [J].

Bacciotti, Andrea ;

Mazzi, Luisa .

SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2011, 49 (02) :476-497

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

Boscain, U .

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

[9] 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

[10] 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

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