基于积分等式的时变时滞随机系统的稳定性分析  

The Stability Analysis of Stochastic System with Time-varying Delay Based on Integral Equality

作　　者：贾菲[1] 孙鲁青[1] 

机构地区：[1]滨州学院自动化系,山东滨州256603

出　　处：《滨州学院学报》2013年第3期7-13,共7页Journal of Binzhou University

基　　金：国家自然科学基金资助项目(10971018);滨州学院青年人才创新基金资助项目(BZXYQNLG201008)

摘　　要：通过构造新的Lyapunov函数和采用一种新的积分等式与某些不等式,引入适当的自由权矩阵,从而得到不确定随机系统鲁棒渐近稳定的时滞相关的充分条件.所得结果完全基于线性矩阵不等式的形式给出,数值算例说明了方法的可行性并改进了已有文献中的一些现有结果.By defining an appropriate, Lyapunov-Krasovskii functional and by employing a new inte- gral equality and some inequalities to deal with the bounding for the cross terms,a sufficient condition is derived in term of linear matrix inequalities （LMIs） such that the uncertain stochastic system is robustly asymptotically stable in the mean square sense. Numerical example is given to illustrate the effectiveness of the proposed method and an improvement over some existing results in the literature.

关 键 词：随机系统 时变时滞 时滞依赖稳定 积分等式 线性矩阵不等式 

分 类 号：O175[理学—数学]