Journal
AUTOMATICA
Volume 94, Issue -, Pages 72-80Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.automatica.2018.04.016
Keywords
Semi-Markov process; Stochastic systems; Multiple Lyapunov functions; Stochastic asymptotic stability in the large
Funding
- National Natural Science Foundation of China [61773217, 61374080, 11531006]
- Natural Science Foundation of Jiangsu Province [BK20161552]
- Alexander von Humboldt Foundation of Germany [CHN/1163390]
- Qing Lan Project of Jiangsu Province
- Priority Academic Program Development of Jiangsu Higher Ed-ucation Institutions
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This paper investigates the asymptotic stability of semi-Markov switched stochastic systems. Based on the method of multiple Lyapunov functions and the structure of semi-Markov process, we provide sufficient conditions of stochastic asymptotic stability in the large for semi-Markov switched stochastic systems without the constraint of bounded transition rates. Particularly, our results generalize and improve some published results in the literature. An example and its simulation are given to illustrate the theoretical results. (C) 2018 Elsevier Ltd. All rights reserved.
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