具有分布时滞的随机区间系统的鲁棒镇定  

Robust stabilization of stochastic interval systems with distributed-delay

作　　者：苏春华[1,2] 刘思峰[1] 葛世龙[1] 

机构地区：[1]南京航空航天大学经济与管理学院,江苏南京210016 [2]信阳师范学院数学与信息科学学院,河南信阳464000

出　　处：《系统工程与电子技术》2009年第10期2464-2468,共5页Systems Engineering and Electronics

摘　　要：研究了具有分布时滞的随机区间系统的鲁棒镇定问题。利用区间矩阵的分解技术、Lyapunov-Krasovskii泛函及It公式,得到了该系统鲁棒镇定的时滞依赖的非线性矩阵不等式判据,进而给出了该系统在不同情形下鲁棒镇定或鲁棒稳定的时滞依赖的线性矩阵不等式(linear matrix inequality,LMI)判据。通过数值仿真说明了所得的LMI判别在实际应用方面的方便性和有效性。The robust stabilization of stochastic interval systems with distributed-delay is investigated. By employing the decomposition technique of interval matrixes, constructing Lyapunov-Krasovskii functional and using Ito＇s formula, a delay-dependent criterion for robust stabilization is obtained in term of nonlinear matrix inequalities. Furthermore, the delay dependent criteria are proposed via linear matrix inequalities （LMI）, which can be used to verify the robust stabilization or robust stability of this system under different cases. A numerical simulation shows the convenience and effectiveness of the presented LMI criterion.

关 键 词：随机系统 鲁棒镇定 分布时滞 Lyapunov—Krasovskii泛函 线性矩阵不等式 区间矩阵 

分 类 号：O231.3[理学—运筹学与控制论]