Stability and Stabilization of Markovian Jump Systems With Time Delay Via New Lyapunov Functionals

被引：42
作者：
Huang, He [1 ,2 ]
Feng, Gang [2 ,3 ]
Chen, Xiaoping [1 ]
机构：
[1] Soochow Univ, Sch Elect & Informat Engn, Suzhou 215006, Peoples R China
[2] City Univ Hong Kong, Dept Mech & Biomed Engn, Kowloon, Hong Kong, Peoples R China
[3] Nanjing Univ Sci & Technol, Sch Automat, Nanjing 210094, Jiangsu, Peoples R China
来源：
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS | 2012年 / 59卷 / 10期
基金：
中国国家自然科学基金;
关键词：
Linear matrix inequalities; Markovian jump systems; new Lyapunov functionals; mean square exponential stabilization; time delay; OUTPUT-FEEDBACK CONTROL; H-INFINITY CONTROL; LINEAR-SYSTEMS;
D O I：
10.1109/TCSI.2012.2189049
中图分类号：
TM [电工技术]; TN [电子技术、通信技术];
学科分类号：
0808 ; 0809 ;
摘要：
This paper is concerned with the mean square exponential stability and stabilization problems of Markovian jump systems with time delay. New Lyapunov functionals are proposed by choosing distinct Lyapunov matrices for different system modes and introducing a triple-integral term. Some delay-dependent conditions, including some existing results as their special cases, are derived under which the resulting closed-loop system is mean square exponentially stable with a decay rate. The design of the feedback gain matrices is accomplished by solving linear matrix inequalities. Finally, the effectiveness and performance of the obtained results are demonstrated by numerical examples.
引用
收藏
页码：2413 / 2421
页数：9
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