Stability of Uniformly Bounded Switched Systems and Observability

被引:0
作者
Moussa Balde
Philippe Jouan
Saïd Naciri
机构
[1] UCAD,LGA
[2] Université de Rouen,LMDAN Dept. de Mathématiques et Informatique
来源
Acta Applicandae Mathematicae | 2016年 / 144卷
关键词
Switched systems; Asymptotic stability; Quadratic Lyapunov functions; Observability; Bilinear systems; 93B07; 93C99; 93D20;
D O I
暂无
中图分类号
学科分类号
摘要
This paper mainly deals with switched linear systems defined by a pair of Hurwitz matrices that share a common but not strict quadratic Lyapunov function. Its aim is to give sufficient conditions for such a system to be GUAS.
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页码:55 / 75
页数:20
相关论文
共 33 条
[1]  
Agrachev A.A.(2001)Lie-algebraic stability criteria for switched systems SIAM J. Control Optim. 40 253-269
[2]  
Liberzon D.(2005)An invariance principle for nonlinear switched systems Syst. Control Lett. 54 1109-1119
[3]  
Bacciotti A.(2009)A note on stability conditions for planar switched systems Int. J. Control 82 1882-1888
[4]  
Mazzi L.(2011)Geometry of the limit sets of linear switched systems SIAM J. Control Optim. 49 1048-1063
[5]  
Balde M.(1999)A converse Lyapunov theorem for a class of dynamical systems which undergo switching IEEE Trans. Autom. Control 44 751-760
[6]  
Boscain U.(2004)Uniform stability of switched linear systems: extensions of LaSalle’s invariance principle IEEE Trans. Autom. Control 49 470-482
[7]  
Mason P.(2005)Nonlinear norm-observability notions and stability of switched systems IEEE Trans. Autom. Control 50 154-168
[8]  
Balde M.(2013)Asymptotic stability of uniformly bounded nonlinear switched systems Math. Control Relat. Fields 3 323-345
[9]  
Jouan P.(2000)A converse Lyapunov theorem for nonlinear switched systems Syst. Control Lett. 41 67-71
[10]  
Dayawansa W.P.(2006)Lie-algebraic stability conditions for nonlinear switched systems and differential inclusions Syst. Control Lett. 55 8-16