Stabilization Analysis for a Class of Multiple Interval Time-varying Delays System

作     者：Wang Xinmei 1 , Wei Wu 2 1. Faculty of Mechanical & Electronic Information, China University of Geosciences, Wuhan 430074, China2. College of Automation Science and Engineering, South China University of Technology, Guangzhou 510640, China 

会议名称：《第24届中国控制与决策会议》

会议日期：2012年

学科分类：0711[理学-系统科学] 07[理学] 08[工学] 081101[工学-控制理论与控制工程] 0811[工学-控制科学与工程] 071102[理学-系统分析与集成] 081103[工学-系统工程] 

基　　金：supported by the National Natural Science Foundation under Grant No.61073026 the Fundamental Research Funds for the Central Universities under Grant No.2009ZM192 

关 键 词：Interval time-varying delay Integral equality approach LMI 

摘      要：The delay-dependent stability problem for a class of multiple interval time-varying delays system is investigated in this paper, in which the derivatives of the time-varying delays are unknown. Delay-dependent stability criterions have been formulated in LMI forms based on integral equality approach. Some advantages are showed in this paper: （1） the results are free from the restrictions on the derivatives of the time-varying delays and can be applied to fast interval time-varying delays systems （2） integral equality approach reduces the conservatism of the system （3）the results are more general. Finally, a numeric example proves that the method is effective and superior.