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https://hdl.handle.net/2440/83629
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Type: | Journal article |
Title: | Finite-time stabilization of stochastic systems with partially known transition probabilities |
Author: | Luan, X. Liu, F. Shi, P. |
Citation: | Journal of Dynamic Systems Measurement and Control: Transactions of the ASME, 2011; 133(1):1-6 |
Publisher: | ASME-Amer Soc Mechanical Eng |
Issue Date: | 2011 |
ISSN: | 0022-0434 1528-9028 |
Statement of Responsibility: | Xiao-li Luan, Fei Liu, Peng Shi |
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. |
Keywords: | Markovian jump systems finite-time boundedness finite-time stabilization transition probabilities |
Rights: | Copyright © 2011 by ASME |
DOI: | 10.1115/1.4002716 |
Published version: | http://dx.doi.org/10.1115/1.4002716 |
Appears in Collections: | Aurora harvest Electrical and Electronic Engineering publications |
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