BIBO Stability of Switched Linear Systems via Arbitrary Switching

被引:0
作者
Chen, Cancan [1 ]
Sun, Zhendong [1 ]
机构
[1] Chinese Acad Sci, Key Lab Syst & Control, Acad Math & Syst Sci, Beijing 100190, Peoples R China
来源
2017 13TH IEEE INTERNATIONAL CONFERENCE ON CONTROL & AUTOMATION (ICCA) | 2017年
基金
中国国家自然科学基金;
关键词
DIFFERENTIAL-INCLUSIONS; EXTREMAL NORMS; STABILIZATION;
D O I
暂无
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 note, we investigate the problem of bounded input bounded-output (BIBO) stability for continuous time switched linear systems under arbitrary switching. We show that BIBO stability is equivalent to exponential stability under mild assumptions, which is an extension of the well-known relationship between external and internal stability for linear systems.
引用
收藏
页码:759 / 763
页数:5
相关论文
共 16 条
[1]  
[Anonymous], 2005, COMM CONT E
[2]   Asymptotic behavior of extremal solutions and structure of extremal norms of linear differential inclusions of order three [J].
Barabanov, N. E. .
LINEAR ALGEBRA AND ITS APPLICATIONS, 2008, 428 (10) :2357-2367
[3]  
Barabanov N. E., 1994, DOKL PHYS, V39, P5
[4]  
Barabanov N.E., 1988, SIB MAT ZH, V29, P12
[5]   A Characterization of Switched Linear Control Systems With Finite L2-Gain [J].
Chitour, Yacine ;
Mason, Paolo ;
Sigalotti, Mario .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2017, 62 (04) :1825-1837
[6]   On the marginal instability of linear switched systems [J].
Chitour, Yacine ;
Mason, Paolo ;
Sigalotti, Mario .
SYSTEMS & CONTROL LETTERS, 2012, 61 (06) :747-757
[7]   Nonlinear system stabilization via hierarchical switching control [J].
Leonessa, A ;
Haddad, WM ;
Chellaboina, V .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2001, 46 (01) :17-28
[8]   Stability analysis of switched systems using variational principles: An introduction [J].
Margaliot, Michael .
AUTOMATICA, 2006, 42 (12) :2059-2077
[9]   BIBO stability of linear switching systems [J].
Michaletzky, G ;
Gerencsér, L .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2002, 47 (11) :1895-1898
[10]   Criteria of asymptotic stability of differential inclusions and periodic motions of time-varying nonlinear control systems [J].
Pyatnitskiy, ES ;
Rapoport, LB .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-FUNDAMENTAL THEORY AND APPLICATIONS, 1996, 43 (03) :219-229