Delay-dependent Stability of Uncertain Distributed Time-delay Systems
作者单位：College of Mathematics and Computer ScienceHuanggang Normal University Institute of Demographic Ecology and Resources ManagementHuanggang Normal University
会议名称：《2012 3rd International Conference on Information Technology for Manufacturing Systems(ITMS 2012)》
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 Natural Science Foundation of Hubei Province,China (No.2011CDC028) the Key Project of Hubei Provincial Department of Education (No.D20122701 and No.D20102902) the Ph.D.Fund of Huanggang Normal University (No.2011CD229 and to Cheng Wang)
关 键 词：Delay-dependent stability time-delay linear matrix inequality(LMI)
摘 要：In this paper, the problem of stability analysis of uncertain distributed time-delay systems is investigated. Systems with norm-bounded parameter uncertainties are considered. By taking suitable Lyapunov-Krasovskii functional and free weighting matrices, a delay-dependent sufficient condition is derived in terms of linear matrix inequality(LMI). The condition obtained in this paper can be tested numerically very efficiently using interior point algorithms.