DocumentCode :
434606
Title :
A probabilistic approach to controllability/reachability analysis of hybrid systems
Author :
Azuma, Shun-ichi ; Imura, Jun-ichi
Author_Institution :
Tokyo Inst. of Technol., Japan
Volume :
1
fYear :
2004
fDate :
17-17 Dec. 2004
Firstpage :
485
Abstract :
This paper proposes a probabilistic approach to solve the controllability and reachability problems of the sampled-data/discrete-time piecewise affine systems. First, an algebraic characterization for the system to be controllable/reachable is derived. Next, based on the characterization, an approach to determine if the system is controllable/reachable in a probabilistic sense is proposed based on a randomized algorithm. Finally, it is shown by numerical examples that the proposed approach is useful.
Keywords :
algebra; continuous time systems; control system analysis; controllability; discrete time systems; probability; randomised algorithms; reachability analysis; sampled data systems; algebraic characterization; controllability analysis; discrete-time piecewise affine system; hybrid systems; probabilistic approach; randomized algorithm; reachability analysis; sampled-data piecewise affine system; Control systems; Controllability; Logic design; Polynomials; Reachability analysis; Sampling methods; Sufficient conditions; System analysis and design;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
Decision and Control, 2004. CDC. 43rd IEEE Conference on
Conference_Location :
Nassau
ISSN :
0191-2216
Print_ISBN :
0-7803-8682-5
Type :
conf
DOI :
10.1109/CDC.2004.1428677
Filename :
1428677
Link To Document :
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