Stability and Stabilization for Singular Switching Semi-Markovian Jump Systems With Generally Uncertain Transition Rates

被引：202
作者：
Jiang, Baoping [1 ,2 ]
Kao, Yonggui [3 ]
Karimi, Hamid Reza [2 ]
Gao, Cunchen [1 ]
机构：
[1] Ocean Univ China, Sch Math Sci, Qingdao 266100, Peoples R China
[2] Politecn Milan, Dept Mech Engn, I-20156 Milan, Italy
[3] Harbin Inst Technol, Dept Math, Weihai 264209, Peoples R China
来源：
IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 2018年 / 63卷 / 11期
关键词：
Linear matrix inequalities (LMIs); semi-Markovian jump systems (S-M[!text type='JS']JS[!/text]); singular systems; stabilization; stochastic stability; SLIDING MODE CONTROL; LINEAR-SYSTEMS; STOCHASTIC STABILITY;
D O I：
10.1109/TAC.2018.2819654
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
This paper studies the problems of stability and stabilization for a class of singular switching semi-Markovian jump systems. The general transition rates in the semi-Markov process cover completely unknown and uncertain bounded as two special cases. First, sufficient conditions are developed to ensure the unforced system to be regular, impulse-free, and exponentially mean-square stable. Then, by proposing a state feedback controller, sufficient conditions in terms of strict linear matrix inequalities are derived to guarantee the closed-loop system to be stochastically stabilziable. Finally, a numerical example is provided to show the effectiveness of the obtained results.
引用
收藏
页码：3919 / 3926
页数：8
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