Finite-time stabilization of stochastic systems with partially known transition probabilities
Date
2011
Authors
Luan, X.
Liu, F.
Shi, P.
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Journal article
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Journal of Dynamic Systems Measurement and Control: Transactions of the ASME, 2011; 133(1):1-6
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Xiao-li Luan, Fei Liu, Peng Shi
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Abstract
In this paper, the problem of finite-time stabilization for a class of uncertain Markov jump systems with partially known transition probabilities is investigated. The main aim of this paper is to derive the finite-time stabilization criteria for the underlying systems when the transition probabilities are partially known and to design a state feedback stabilizing controller such that the trajectories of the system stay within a given bound in a fixed time interval. Sufficient conditions for the existence of the desired controller are established with the linear matrix inequalities framework. A numerical example is used to illustrate the effectiveness of the developed theoretic results.
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Copyright © 2011 by ASME