Journal
AUTOMATICA
Volume 47, Issue 1, Pages 79-84Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.automatica.2010.09.009
Keywords
Markovian jump systems; Transition rate; Free-connection weighting matrix method; Linear matrix inequalities
Funding
- National Natural Science Foundation of China [60425310, 60974026]
- Doctor Subject Foundation of China [200805330004]
- Hunan Provincial Natural Science Foundation of China [08JJ1010]
- Graduate degree thesis Innovation Foundation of Central South University
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This paper focuses on stability and stabilization for a class of continuous-time Markovian jump systems with partial information on transition probability. The free-connection weighting matrix method is proposed to obtain a less conservative stability criterion of Markovian jump systems with partly unknown transition probability or completely unknown transition probability. As a result, a sufficient condition for the state feedback controller design is derived in terms of linear matrix inequalities. Finally, numerical examples are given to illustrate the effectiveness and the merits of the proposed method. (C) 2010 Elsevier Ltd. All rights reserved.
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