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
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;
Conference_Titel :
Decision and Control (CDC), 2010 49th IEEE Conference on
Conference_Location :
Atlanta, GA
Print_ISBN :
978-1-4244-7745-6
DOI :
10.1109/CDC.2010.5717721
