✦ LIBER ✦

Controllability and stabilizability of switched linear-systems

✍ Scribed by Guangming Xie; Long Wang

Publisher: Elsevier Science
Year: 2003
Tongue: English
Weight: 239 KB
Volume: 48
Category: Article
ISSN: 0167-6911
DOI: 10.1016/s0167-6911(02)00288-8

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✦ Synopsis

In this paper, we study the conjecture made in (IEEE Trans. Automat. Control 47 (8) (2002) 1401) concerning the existence of basic switching sequence for switched systems, and give it an a rmative answer and a construction method. This paper proves that for switched linear system, there exists a switching sequence such that the controllable state set of this switching sequence is equal to the controllable state set of the system. Hence, the controllability can be realized by using only one switching sequence. Then, the result is extended to the systems with time-delay in controls. Furthermore, we deÿne the stabilizability of switched linear systems, and based on certain transformation of state coordinate, we give a necessary and su cient condition for the stabilizability. Two examples are presented to illustrate the obtained results.

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