Exponential stability for uncertain neutral systems with Markov jumps  

作　　者：Shuping HE Fei LIU 

机构地区：[1]Institute of Automation, Jiangnan University, Wuxi Jiangsu 214122, China

出　　处：《控制理论与应用（英文版）》2009年第1期35-40,共6页

基　　金：supported by the National Natural Science Foundation of China (No.60574001);Program for New Century Excellent Talents in University (No.050485);Program for Innovative Research Team of Jiangnan University

摘　　要：This paper deals with the global exponential stability problems for stochastic neutral Markov jump systems （MJSs） with uncertain parameters and multiple time-delays. The delays are respectively considered as constant and time varying cases, and the uncertainties are assumed to be norm bounded. By selecting appropriate Lyapunov-Krasovskii functions, it gives the sufficient condition such that the uncertain neutral MJSs are globally exponentially stochastically stable for all admissible uncertainties. The stability criteria are formulated in the form of linear matrix inequalities （LMIs）, which can be easily checked in practice. Finally, two numerical examples are exploited to illustrate the effectiveness of the developed techniques.This paper deals with the global exponential stability problems for stochastic neutral Markov jump systems （MJSs） with uncertain parameters and multiple time-delays. The delays are respectively considered as constant and time varying cases, and the uncertainties are assumed to be norm bounded. By selecting appropriate Lyapunov-Krasovskii functions, it gives the sufficient condition such that the uncertain neutral MJSs are globally exponentially stochastically stable for all admissible uncertainties. The stability criteria are formulated in the form of linear matrix inequalities （LMIs）, which can be easily checked in practice. Finally, two numerical examples are exploited to illustrate the effectiveness of the developed techniques.

关 键 词：Markov jump systems （MJSs） Global exponential stability TIME-DELAYS UNCERTAINTIES Linear matrix inequalities （LMIs） 

分 类 号：O231[理学—运筹学与控制论] TP273[理学—数学]