期刊
AUTOMATICA
卷 49, 期 12, 页码 3677-3681出版社
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.automatica.2013.09.005
关键词
Brownian motion; Markov chain; Mean-square exponential stability.; Discrete-time feedback control
资金
- EPSRC
- Royal Society of Edinburgh
- London Mathematical Society
- Edinburgh Mathematical Society
- National Natural Science Foundation of China [71073023]
In this paper we are concerned with the mean-square exponential stabilization of continuous-time hybrid stochastic differential equations (also known as stochastic differential equations with the Markovian switching) by discrete-time feed back controls. Although the stabilization by continuous-time feedback controls for such equations has been discussed by several authors (see e.g. Ji and Chizeck (1990); Mao, Lam, and Huang (2008); Mao, Yin, and Yuan (2007); Wu, Shi, and Gao (2010); Wu, Su, and Shi (2012)), there is so far no result on the stabilization by discrete-time feedback controls. Our aim here is to initiate the study in this area by establishing some new results. 2013 Elsevier Ltd. All rights reserved.
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