DocumentCode
3536376
Title
A stabilizable switched linear system does not necessarily admit a smooth homogeneous Lyapunov function
Author
Blanchini, Franco ; Colaneri, Patrizio ; Valcher, Maria Elena
Author_Institution
Dipt. di Mathematica e Inf., Univ. di Udine, Udine, Italy
fYear
2013
fDate
10-13 Dec. 2013
Firstpage
5969
Lastpage
5974
Abstract
The contribution of this paper is twofold. Firstly, an example of a (positive) linear switched system that can be stabilized, via a controlled switching signal, but does not admit a smooth and positively homogeneous control Lyapunov function, is provided. The spectral properties of the subsystem matrices and of the Lyapunov candidates of the convex differential inclusion associated with the switched system, are thoroughly investigated. Secondly, by taking inspiration from the example, new feedback stabilization techniques for stabilizable positive switched systems are provided.
Keywords
Lyapunov methods; feedback; linear systems; matrix algebra; stability; time-varying systems; controlled switching signal; convex differential inclusion; feedback stabilization techniques; smooth homogeneous Lyapunov function; spectral properties; stabilizable positive switched linear systems; subsystem matrices; Indexes; Switches;
fLanguage
English
Publisher
ieee
Conference_Titel
Decision and Control (CDC), 2013 IEEE 52nd Annual Conference on
Conference_Location
Firenze
ISSN
0743-1546
Print_ISBN
978-1-4673-5714-2
Type
conf
DOI
10.1109/CDC.2013.6760831
Filename
6760831
Link To Document