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Journal of Shanghai University >

2014 , Vol. 20 >Issue 4: 513 - 520

DOI: https://doi.org/10.3969/j.issn.1007-2861.2014.01.007

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Stabilization of a Class of Discrete-Time Singular Markov Jump Systems

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  • 1. School of Mathematics and Computational Science, Anqing Normal Institute,
    Anqing 246011, Anhui, China;
    2. School of Mechatronic Engineering and Automation, Shanghai University, Shanghai 200072, China;
    3. School of Mathematics and Statistics, Zhengzhou Universty, Zhengzhou 450001, China

Received date: 2013-09-10

  Online published: 2014-08-25

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Abstract

This paper discusses stability and stabilization for a class of discrete-time singular Markov jump systems with partly unknown transition probabilities. By introducing slack matrix variables, a sufficient condition is obtained to guarantee stochastic stability of open-loop systems. A method for designing state feedback controller is then proposed. These conditions are given in terms of linear matrix inequalities (LMIs). A numerical example is given to show effectiveness and less conservatism of the obtained results.

Key words： linear matrix inequality (LMI); stability; transition probability; jump system; stabilization

Cite this article

ZHONG Jin-biao1, DU Xin2, ZHU Xun-lin3 . Stabilization of a Class of Discrete-Time Singular Markov Jump Systems[J]. Journal of Shanghai University, 2014 , 20(4) : 513 -520 . DOI: 10.3969/j.issn.1007-2861.2014.01.007

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