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部分转移概率离散奇异Markov跳变系统的镇定

常华 方洋旺 楼顺天

太赫兹科学与电子信息学报Issue(3):463-468,6.
太赫兹科学与电子信息学报Issue(3):463-468,6.DOI:10.11805/TKYDA201303.0463

部分转移概率离散奇异Markov跳变系统的镇定

Stabilization of discrete-time singular Markov jump systems with partly transition probabilities

常华 1方洋旺 2楼顺天1

作者信息

  • 1. 西安电子科技大学 电子工程学院,陕西 西安 710071
  • 2. 空军工程大学 工程学院,陕西 西安 710038
  • 折叠

摘要

Abstract

  For a class of more general condition of discrete-time singular Markov jump linear systems with partly unknown transition probabilities, a sufficient condition for the open-loop systems to be regular, causal and stochastically stable is proposed in terms of a set of strict linear matrix inequalities without the equation constraints. The considered situation is more usual than systems with probabilities all known or unknown. Moreover, the design of mode-dependent state feedback controller is presented to make the closed-loop systems be regular, causal and stochastically stable. The stabilization problem is handled by solving the set of strict linear matrix inequalities. Finally, a numerical example is given to illustrate the validity of the proposed results.

关键词

奇异系统/Markov跳变系统/稳定性/镇定/线性矩阵不等式

Key words

singular systems/Markov jump linear systems/stability/stabilization/Linear Matrix Inequality(LMI)

分类

信息技术与安全科学

引用本文复制引用

常华,方洋旺,楼顺天..部分转移概率离散奇异Markov跳变系统的镇定[J].太赫兹科学与电子信息学报,2013,(3):463-468,6.

基金项目

国家自然科学基金资助项目(60674040,61201299) (60674040,61201299)

太赫兹科学与电子信息学报

OACSTPCD

2095-4980

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