期刊
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
卷 280, 期 2, 页码 209-220出版社
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/S0022-247X(02)00540-1
关键词
switched linear discrete-time system; switching sequence; reachable state set; reachability realization; controllable state set; controllability realization; stabilizability
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. (C) 2003 Elsevier Science (USA). All rights reserved.
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