期刊
AUTOMATICA
卷 45, 期 4, 页码 997-1004出版社
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.automatica.2008.12.002
关键词
Nonlinear stochastic systems; Backstepping; Markovian switching
资金
- Program for the New Century Excellent Talents in University of China [NCET-05-0607]
- National Natural Science Foundation of China [60774010]
- Program for Summit of Six Types of Talents of Jiangsu Province [07-A-020]
- Program for Fundamental Research of Natural Sciences in Universities of Jiangsu Province [07KJB510114]
- Engineering and Physical Sciences Research Council, UK [EP/17029195]
A more general class of stochastic nonlinear systems with irreducible homogenous Markovian switching are considered in this paper. As preliminaries, the stability criteria and the existence theorem of strong solutions are first presented by using the inequality of mathematic expectation of a Lyapunov function. The state-feedback controller is designed by regarding Markovian switching as constant such that the closed-loop system has a unique solution, and the equilibrium is asymptotically stable in probability in the large. The output-feedback controller is designed based on a quadratic-plus-quartic-form Lyapunov function such that the closed-loop system has a unique solution with the equilibrium being asymptotically stable in probability in the large in the unbiased case and has a unique bounded-in-probability solution in the biased case. (C) 2008 Elsevier Ltd. All rights reserved.
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