多时变时滞不确定系统的鲁棒稳定性  

Robust Stability for Uncertain Generalized Systems with Multiple Time-varying Delay

作　　者：王坤[1] 王丹[1] 张蕊[1] 

机构地区：[1]燕山大学理学院,河北秦皇岛066004

出　　处：《河南科技大学学报（自然科学版）》2015年第2期60-64,6,共5页Journal of Henan University of Science And Technology:Natural Science

基　　金：国家自然科学基金项目(60934003)

摘　　要：研究了一类不确定多时变时滞系统的鲁棒稳定性问题。通过选取适当的Lyapunov函数,利用Jensen不等式和Schur引理,推导出了此类多时变时滞广义系统渐进稳定的充分条件。最后,通过线性矩阵不等式(LMI)工具箱进行了数值仿真,验证了该方法的可行性和有效性。For a class of uncertain generalized systems with multiple time-varying delay,the robust stability problems were discussed. By chosing the proper integral form of Lyapunov function,the Jesen inequality and Schur lemma were used,and a sufficient condition of robust stability for the systems was deprived. Finally,the feasibility and efficiency of the method were verified by numerical simulation with the linear matrix inequality( LMI) toolbox in Matlab.

关 键 词：多时变时滞 不确定性 广义系统 渐进稳定 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]