A REVIEW ON STABILITY OF SWITCHED SYSTEMS FOR ARBITRARY SWITCHINGS

被引：0

作者：

Boscain, U. ^{[1
]}

机构：

[1] SISSA ISAS, I-34014 Trieste, Italy

来源：

GEOMETRIC CONTROL AND NONSMOOTH ANALYSIS | 2008年 / 76卷

关键词：

Switched systems; Asymptotic stability; Lyapunov functions;

D O I：

暂无

中图分类号：

C93 [管理学]; O22 [运筹学];

学科分类号：

070105 ; 12 ; 1201 ; 1202 ; 120202 ;

摘要：

In this paper we review some recent results on stability of multilinear switched systems, under arbitrary switchings. An open problems is stated

引用

收藏

页码：100 / 119

页数：20

相关论文

共 24 条

[11] Homogeneous Lyapunov functions for systems with structured uncertainties
Chesi, G
Garulli, A
Tesi, A
Vicino, A
[J]. AUTOMATICA, 2003, 39 (06) : 1027 - 1035
[12] A converse Lyapunov theorem for a class of dynamical systems which undergo switching
Dayawansa, WP
Martin, CF
[J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1999, 44 (04) : 751 - 760
[13] Stability of switched systems: a Lie-algebraic condition
Liberzon, D
Hespanha, JP
Morse, AS
[J]. SYSTEMS & CONTROL LETTERS, 1999, 37 (03) : 117 - 122
[14] Basic problems in stability and design of switched systems
Liberzon, D
Morse, AS
[J]. IEEE CONTROL SYSTEMS MAGAZINE, 1999, 19 (05): : 59 - 70
[15] Liberzon D., 2003, SYS CON FDN
[16] Preparation theorem for logarithmico-exponential functions
Lion, JM
Rolin, JP
[J]. ANNALES DE L INSTITUT FOURIER, 1997, 47 (03) : 859 - &
[17] Common polynomial Lyapunov functions for linear switched systems
Mason, P
Boscain, U
Chitour, Y
[J]. SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2006, 45 (01) : 226 - 245
[18] CRITERIA OF ASYMPTOTIC STABILITY OF DIFFERENTIAL AND DIFFERENCE INCLUSIONS ENCOUNTERED IN CONTROL-THEORY
MOLCHANOV, AP
PYATNITSKIY, YS
[J]. SYSTEMS & CONTROL LETTERS, 1989, 13 (01) : 59 - 64
[19] MOLCHANOV AP, 1986, AUTOMAT REM CONTR+, V47, P344
[20] MOLCHANOV AP, 1986, AUTOMAT REM CONTR+, V47, P443