DocumentCode
1281672
Title
Linear Copositive Lyapunov Functions for Continuous-Time Positive Switched Systems
Author
Fornasini, Ettore ; Valcher, Maria Elena
Author_Institution
Dip. di Ing. dell´´Inf., Univ. di Padova, Padova, Italy
Volume
55
Issue
8
fYear
2010
Firstpage
1933
Lastpage
1937
Abstract
Continuous-time positive systems, switching among p subsystems, are introduced, and a complete characterization for the existence of a common linear copositive Lyapunov function for all the subsystems is provided. When the subsystems are obtained by applying different feedback control laws to the same continuous-time single-input positive system, the above characterization leads to a very easy checking procedure.
Keywords
Lyapunov methods; asymptotic stability; continuous time systems; feedback; continuous time positive switched system; continuous time single input positive system; feedback control law; linear copositive Lyapunov function; Biological system modeling; Chemical engineering; Feedback control; Kernel; Linear systems; Lyapunov method; Mathematical model; Stability analysis; Switched systems; Switches; Asymptotic stability; linear (quadratic) copositive Lyapunov function; positive linear system; switched system;
fLanguage
English
Journal_Title
Automatic Control, IEEE Transactions on
Publisher
ieee
ISSN
0018-9286
Type
jour
DOI
10.1109/TAC.2010.2049918
Filename
5532325
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