Reachability realization and stabilizability of switched linear discrete-time systems☆

By Guangming Xie, Long Wang. 2003

87 citations recorded by the source corpus.

Abstract In this paper, the reachability realization of a switched linear discrete-time system, which is a collection of linear time-invariant discrete-time systems along with some maps for “switching” among them, is addressed. The main contribution of this paper is to prove that for a switched linear discrete-time system, there exists a basic switching sequence such that the reachable (controllable) state set of this basic switching sequence is equal to the reachable (controllable) state set of the system. Hence, the reachability (controllability) can be realized by using only one switching sequence. We also discuss the stabilizability of switched systems, and obtain a sufficient condition for stabilizability. Two numeric examples are given to illustrate the results.

Subfields: Control and Systems Engineering

View Paper: https://www.semanticscholar.org/paper/535b6f259c1c04e8989c025bc7b602bc3cf70533

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In Control and Systems Engineering

Citations in the corpus

Stability and stabilization of discrete time switched systems (2006, background): “For discretetime switched systems, see Daafouz and Bernussou (2001), Zhai (2001) and Xie and Wang (2003).”
Discrete‐time control for switched positive systems with application to mitigating viral escape (2011, background): “Moreover, there have been advances in discrete-time switched systems, for example, [7–10] provide excellent overviews.”
Dynamic Output Feedback Control of Switched Linear Systems (2008, background): “The situation is even poorer in discrete time, where only a few works have appeared for the stabilization problem, see, e.g., [6], [7], [ 22 ], and [24].”