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.
Stability and stabilizability of special classes of discrete-time positive switched systems
FORNASINI, ETTORE;VALCHER, MARIA ELENA
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.
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