On Delay-independent Stability Criteria for Linear Time-delay Systems  

作　　者：Ai-Guo Wu Guang-Ren Duan 

机构地区：[1]Center for Control Theory and Guidance Technology, Harbin Institute of Technology, Harbin 150001, PRC

出　　处：《International Journal of Automation and computing》2007年第1期95-100,共6页国际自动化与计算杂志（英文版）

基　　金：This work was supported by the Chinese Outstanding Youth Foundation under Grant (No.69925308);by Program for Changjiang Scholars and Innovative Research Team in University.

摘　　要：Several LMI representations for delay-independence stability are proposed by applying Projection Lemma and the socalled ＂Small Scalar Method＂. These criteria realize the elimination of the products coupling the system matrices and Lyapunov matrices by introducing some additional matrices. When they are applied to robust stability analysis for polytopic uncertain systems, the vertex-dependent Lyapunov functions are allowed, so less conservative results can be obtained. A numerical example is employed to illustrate the effect of these proposed criteria.Several LMI representations for delay-independence stability are proposed by applying Projection Lemma and the socalled ＂Small Scalar Method＂. These criteria realize the elimination of the products coupling the system matrices and Lyapunov matrices by introducing some additional matrices. When they are applied to robust stability analysis for polytopic uncertain systems, the vertex-dependent Lyapunov functions are allowed, so less conservative results can be obtained. A numerical example is employed to illustrate the effect of these proposed criteria.

关 键 词：Linear time-delay systems DELAY-INDEPENDENT Small Scalar Method conservativeness. 

分 类 号：TP27[自动化与计算机技术—检测技术与自动化装置]