Improved Stability Criteria for Uncertain Stochastic Systems with Time-Delay
This paper is concerned with the asymptotical stability in mean square for uncertain stochastic time-delay system. Firstly, a new variable is de.ned, by which some slack matrices are introduced to reduce the conservatism of the result. Then, a proper Lyapunov-Krasovskii functional is constructed and its in.nitesimal operator is calculated by It坥 calculus rules and the statistic properties of the Brownian motion, and as a result the delay-dependent stability criteria are obtained via an LMI approach. Finally, numerical examples are given to illustrate the signi.cant improvement on the conservativeness of the delay bound over some existing results.
QIAN Wei LIU Juan FEI Shumin
School of Electrical Engineering and Automation, Henan Polytechnic University, Jiaozuo 454000, P.R.C Department of Mathematics and Information Science, Henan Polytechnic University, Jiaozuo 454000, P.R School of Automation, Southeast University, Nanjing 210096, P.R.China
国际会议
The 30th Chinese Control Conference(第三十届中国控制会议)
烟台
英文
1-5
2011-07-01（万方平台首次上网日期，不代表论文的发表时间）