期刊
AUTOMATICA
卷 48, 期 9, 页码 2321-2328出版社
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.automatica.2012.06.044
关键词
Brownian motion; Markov chain; Hybrid stochastic differential equation; Stochastic feedback control; Stabilization
资金
- Royal Society of Edinburgh
- London Mathematical Society
- Edinburgh Mathematical Society
- National Natural Science Foundation of China [61174077, 60874114]
- Guangdong Natural Science Foundation [10251064101000008]
This paper aims to determine whether or not a stochastic state feedback control can stabilize a given linear or nonlinear hybrid system. New methods are developed and sufficient conditions on the stability for hybrid stochastic differential equations are provided. These results are then used to examine stochastic stabilization by stochastic feedback controls. Two types of structure controls, namely state feedback and output injection, are discussed. Our stabilization criteria are in terms of linear matrix inequalities (LMIs) whence the feedback controls can be designed more easily in practice. A couple of examples and computer simulations are worked out to illustrate our theory. (C) 2012 Elsevier Ltd. All rights reserved.
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