Delay-Dependent Absolute Stability ofUncertain Lur′e Systems with Time-Delays^1）  

作　　者：CHENWu-Hua GUANZhi-Hong LUXiao-Mei YANGXuan-Fang 

机构地区：[1]DepartmentofControlScienceandEngineering,HuazhongUniversityofScienceandTechnology,Wuhan430074 [2]DepartmentofMathematicsandInformationScience,GuangxiUniversity,Nanning530004

出　　处：《自动化学报》2004年第2期235-238,共4页Acta Automatica Sinica

摘　　要：This paper is concerned with delay dependent absolute stability for a class of uncertain Lur′e systems with multiple time-delays. By using a descriptor model transformation of the sys-tem and by applying a recent result on bounding of cross products of vectors, a new type of Lya-punov-Krasovskii functional is constructed. Based on the new functional, delay-dependent suffi-cient conditions for absolute stability are derived in terms of linear matrix inequalities. These con-ditions do not require any parameter tuning, and can be solved numerically using the software LMI Lab. A numerical example is presented which shows that the proposed method can substantiallyimprove the delay bound for absolute stability of Lur′e system with time-delays, compared to theexisting ones.

关 键 词：Lur′e型控制系统 绝对稳定性 时滞系统 线性矩阵不等式 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]