DocumentCode :
645957
Title :
On the stability and stabilizability of a class of continuous-time positive switched systems with rank one difference
Author :
Fornasini, Ettore ; Valcher, Maria Elena
Author_Institution :
Dipt. di Ing. dell´Inf., Univ. di Padova, Padua, Italy
fYear :
2013
fDate :
17-19 July 2013
Firstpage :
2169
Lastpage :
2174
Abstract :
Given a single-input continuous-time positive system, described by a pair (A, b), with A a diagonal matrix, we investigate under what conditions there exist state-feedback laws u(t) = cTx(t) that make the resulting controlled system positive and asymptotically stable, namely A + bcT Metzler and Hurwitz. In the second part of the paper we assume that the state-space model switches among different state-feedback laws ciT, i = 1,2, ... , p, each of them ensuring the positivity, and show that the asymptotic stability of the switched system is equivalent to the asymptotic stability of all the subsystems, while its stabilizability is equivalent to the existence of an asymptotically stable subsystem.
Keywords :
asymptotic stability; continuous time systems; matrix algebra; state-space methods; time-varying systems; asymptotic stability; continuous time positive switched systems; diagonal matrix; rank one difference; state-feedback; state-space model; Asymptotic stability; Indexes; Stability criteria; Switched systems; Switches; Vectors;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
Control Conference (ECC), 2013 European
Conference_Location :
Zurich
Type :
conf
Filename :
6669154
Link To Document :
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