DocumentCode
2576981
Title
Stabilizability of discrete-time positive switched systems
Author
Fornasini, Ettore ; Valcher, Maria Elena
Author_Institution
Dipt. di Ing. dell´´Inf., Univ. di Padova, Padova, Italy
fYear
2010
fDate
15-17 Dec. 2010
Firstpage
432
Lastpage
437
Abstract
In this paper we consider the class of discrete-time switched systems switching between two autonomous positive subsystems. It is shown that if these systems are stabilizable, they can be stabilized by means of a periodic switching sequence, which asymptotically drives to zero every positive initial state. Necessary and sufficient conditions for the existence of state-dependent stabilizing switching laws, based on the values of a copositive (linear/quadratic) Lyapunov function, are investigated.
Keywords
Lyapunov methods; discrete time systems; stability; autonomous positive subsystem; copositive Lyapunov function; discrete-time positive switched system; periodic switching sequence; stabilizability; state-dependent stabilizing switching law; Indexes; Lyapunov method; Switched systems; Switches; Symmetric matrices; Trajectory;
fLanguage
English
Publisher
ieee
Conference_Titel
Decision and Control (CDC), 2010 49th IEEE Conference on
Conference_Location
Atlanta, GA
ISSN
0743-1546
Print_ISBN
978-1-4244-7745-6
Type
conf
DOI
10.1109/CDC.2010.5717721
Filename
5717721
Link To Document