Improved delay-dependent stability criteria for systems with interval delay  

作　　者：Hongbing Zeng Shenping Xiao Bin Liu 

机构地区：[1]School of Electrical and Information Engineering, Hunan University of Technology, Zhuzhou 412008, R R. China [2]School of Information Science and Engineering, Central South University, Changsha 410083, E R. China

出　　处：《Journal of Systems Engineering and Electronics》2011年第6期998-1002,共5页系统工程与电子技术（英文版）

基　　金：supported by the National Natural Science Foundation of China (60874025);the Natural Science Foundation of Hunan Province(10JJ6098);the Scientific Research Fund of Hunan Provincial Education Department (10C0638)

摘　　要：This paper deals with the problem of stability for systems with delay varying in an interval.A new Lyapunov functional,which makes use of the information of both the lower and upper bounds of the interval time-varying delay,is proposed to derive some new stability criteria.Furthermore,the relationship of the time-varying delay and its lower bound and upper bound is taken into account.As a result,some less conservative delay-dependent stability criteria are obtained without ignoring any useful information in the derivative of Lyapunov functional,which are established in the forms of linear matrix inequalities.Numerical examples are provided to show that the obtained results are better than existing ones.This paper deals with the problem of stability for systems with delay varying in an interval.A new Lyapunov functional,which makes use of the information of both the lower and upper bounds of the interval time-varying delay,is proposed to derive some new stability criteria.Furthermore,the relationship of the time-varying delay and its lower bound and upper bound is taken into account.As a result,some less conservative delay-dependent stability criteria are obtained without ignoring any useful information in the derivative of Lyapunov functional,which are established in the forms of linear matrix inequalities.Numerical examples are provided to show that the obtained results are better than existing ones.

关 键 词：stability criteria interval delay DELAY-DEPENDENT linear matrix inequality（LMI）. 

分 类 号：TP273.2[自动化与计算机技术—检测技术与自动化装置] TH113[自动化与计算机技术—控制科学与工程]