Stochastic stability and stabilization of discrete‐time singular Markovian jump systems with partially unknown transition probabilities |
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| Authors: | Jianhua Wang Qingling Zhang Xing‐Gang Yan Ding Zhai |
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| Affiliation: | 1. Institute of Systems Science, Northeastern University, Shenyang, Liaoning 110819, China;2. School of Engineering and Digital Arts, University of Kent, Canterbury, Kent CT2 7NT, United Kingdom |
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| Abstract: | This paper considers the stochastic stability and stabilization of discrete‐time singular Markovian jump systems with partially unknown transition probabilities. Firstly, a set of necessary and sufficient conditions for the stochastic stability is proposed in terms of LMIs, then a set of sufficient conditions is proposed for the design of a state feedback controller to guarantee that the corresponding closed‐loop systems are regular, causal, and stochastically stable by employing the LMI technique. Finally, some examples are provided to demonstrate the effectiveness of the proposed approaches. Copyright © 2014 John Wiley & Sons, Ltd. |
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| Keywords: | singular Markovian jump systems stability stabilization partially unknown transition probabilities linear matrix inequalities (LMIs) |
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