Robust finite-time stabilization of uncertain singular Markovian jump systems

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• 作者：Yingqi Zhang^a ; ^{zyq2018@126.com} ; Caixia Liu^a ; ^{lcx_nwpu@163.com} ; Xiaowu Mu^b ; ^{muxiaowu@zzu.edu.cn}
• 关键词：Singular Markovian jump systems ; Singular stochastic finite-time boundedness ; Singular stochastic finite-time stabilization ; Parametric uncertainties ; Linear matrix inequalities (LMIs)
• 刊名：Applied Mathematical Modelling
• 出版年：2012
• 期刊代码：6_0307904x
• 类别：cp
• 出版时间：October, 2012
• 卷：36
• 期：10
• 页码：5109-5121
• 文件大小：360 K

摘要

This paper focuses on the problem of robust finite-time stabilization for one family of uncertain singular Markovian jump systems. Firstly, the definitions of singular stochastic finite-time boundedness and singular stochastic finite-time boundedness are presented. Secondly, sufficient conditions on singular stochastic finite-time boundedness are obtained for the class of singular stochastic systems with parametric uncertainties and time-varying norm-bounded disturbance. Then the results are extended to singular stochastic finite-time boundedness for the family of singular stochastic systems. Sufficient criteria are provided to guarantee that the underlying closed-loop singular stochastic system is singular stochastic finite-time boundedness and singular stochastic finite-time boundedness, which can be reduced to a feasibility problem in the form of linear matrix inequalities with a fixed parameter, respectively. Finally, numerical examples are given to illustrate the validity of the proposed methodology.