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.
引用
收藏
页码：55 / 75
页数：20
相关论文
共 33 条
[11]  
Martin C.F.(2006)Common polynomial Lyapunov functions for linear switched systems SIAM J. Control Optim. 45 226-245
[12]  
Hespanha J.P.(1986)Lyapunov functions that specify necessary and sufficient conditions of absolute continuity of nonlinear nonstationary control systems, Part I Autom. Remote Control 47 344-354
[13]  
Hespanha J.P.(2010)On the algebraic characterization of invariant sets of switched linear systems Automatica 46 1047-1052
[14]  
Liberzon D.(2011)On the convergence of linear switched systems IEEE Trans. Autom. Control 56 320-332
[15]  
Angeli D.(undefined)undefined undefined undefined undefined-undefined
[16]  
Sontag E.D.(undefined)undefined undefined undefined undefined-undefined
[17]  
Jouan P.(undefined)undefined undefined undefined undefined-undefined
[18]  
Naciri S.(undefined)undefined undefined undefined undefined-undefined
[19]  
Mancilla-Aguillar J.L.(undefined)undefined undefined undefined undefined-undefined
[20]  
Garcia R.A.(undefined)undefined undefined undefined undefined-undefined
1234