不确定变时滞随机系统的鲁棒均方指数稳定性  

Robust mean square exponential stability of uncertain stochastic systems with time-varying delay

作　　者：华民刚[1] 邓飞其[1] 彭云建[1] 

机构地区：[1]华南理工大学自动化科学与工程学院,广东广州510640

出　　处：《控制理论与应用》2009年第5期558-561,共4页Control Theory & Applications

基　　金：国家自然科学基金资助项目(60874114);广东省自然科学基金资助项目(011629).

摘　　要：研究了不确定变时滞随机系统的鲁棒均方指数稳定性问题,不确定性是范数有界的.通过构造Lyapunov泛函,得到了基于线性矩阵不等式的鲁棒均方指数稳定的充分条件.最后给出实例加以验证所提出方法的有效性.The problem of robust mean square exponential stability for uncertain stochastic systems with time-varying delay is discussed. The uncertainty is assumed to be of norm-bounded form. The robust mean square exponential stability condition is then derived on the basis of linear matrix inequalities by constructing Lyapunov-Krasovskii functional. Finally, a numerical example is given to illustrate the effectiveness of the proposed method.

关 键 词：随机系统 均方指数稳定性 线性矩阵不等式(LMI) 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]