Title :
Stability and stabilizability of special classes of discrete-time positive switched systems
Author :
Fornasini, E. ; Valcher, M.E.
Author_Institution :
Dipt. di Ing. dell´Inf., Univ. di Padova, Padova, Italy
fDate :
June 29 2011-July 1 2011
Abstract :
In this paper we consider discrete-time positive switched systems, switching among autonomous subsystems, characterized either by cyclic monomial matrices or by circulant matrices. For these two classes of systems, some interesting necessary and sufficient conditions for stability and stabilizability are provided. Such conditions lead to simple algorithms that allow to easily detect whether a given positive switched system is not stabilizable.
Keywords :
discrete time systems; matrix algebra; stability; time-varying systems; autonomous subsystem; circulant matrix; cyclic monomial matrix; discrete-time positive switched system; stability; stabilizability; Asymptotic stability; Lyapunov methods; Stability criteria; Switched systems; Switches; Symmetric matrices;
Conference_Titel :
American Control Conference (ACC), 2011
Conference_Location :
San Francisco, CA
Print_ISBN :
978-1-4577-0080-4
DOI :
10.1109/ACC.2011.5990765
