DocumentCode :
799706
Title :
Controllability of switched linear systems
Author :
Xie, Guangming ; Zheng, Dazhong ; Wang, Long
Author_Institution :
Dept. of Autom., Tsinghua Univ., Beijing, China
Volume :
47
Issue :
8
fYear :
2002
fDate :
8/1/2002 12:00:00 AM
Firstpage :
1401
Lastpage :
1405
Abstract :
In this paper, the controllability of a switched linear system, which is a collection of linear time-invariant systems along with some maps for "switching" among them, is addressed. First, a controllable state set is defined as a basic tool to discuss the controllability condition. Next, it is proved that the controllability of a multi-input system is equivalent to that of a single-input system. Finally, a sufficient and necessary condition for controllability of third-order systems is presented. According to the proof of this criterion, we state a conjecture on the controllability condition of n-dimensional systems. A numeric example is given to illustrate the result.
Keywords :
controllability; discrete time systems; linear systems; multidimensional systems; controllability; controllable state set; linear time-invariant systems; multidimensional systems; necessary condition; sufficient condition; switched linear system; switching sequence; Automatic control; Automation; Control systems; Controllability; Linear systems; Power engineering and energy; Power system analysis computing; Power system stability; Switched systems; Switches;
fLanguage :
English
Journal_Title :
Automatic Control, IEEE Transactions on
Publisher :
ieee
ISSN :
0018-9286
Type :
jour
DOI :
10.1109/TAC.2002.801182
Filename :
1024363
Link To Document :
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