变时滞不确定Lurie系统的时滞分布依赖鲁棒稳定性分析(英文)

作     者：MUKHIJA Pankaj KAR Indra Narayan BHATT Rajendra Kumar Purushottam 

作者机构：Department of Electrical Engineering Indian Institute of Technology Delhi 

出 版 物：《自动化学报》 (Acta Automatica Sinica)

年 卷 期：2012年第38卷第7期

页      面：1100-1106页

核心收录：

学科分类：0810[工学-信息与通信工程] 1205[管理学-图书情报与档案管理] 0711[理学-系统科学] 07[理学] 08[工学] 0835[工学-软件工程] 0802[工学-机械工程] 081101[工学-控制理论与控制工程] 0811[工学-控制科学与工程] 0812[工学-计算机科学与技术（可授工学、理学学位）] 071102[理学-系统分析与集成] 081103[工学-系统工程] 

主　　题：Lurie系统 时间延迟 鲁棒稳定性分析 时变时滞 Lyapunov泛函 鲁棒绝对稳定性 线性矩阵不等式 参数不确定性 

摘      要：In this paper, the problem of robust absolute stability of Lurie system with probabilistic time-varying delay and normbounded parametric uncertainty is considered. The time delay variation range is divided into two sub-intervals. By considering the probability distribution of the time-varying delay between the two sub-intervals and the knowledge of the delay variation range, a novel linear matrix inequalities (LMIs) based stability condition is derived by defining a Lyapunov Krasovskii functional. It is illustrated with the help of numerical examples that the derived stability criteria can lead to less conservative results as compared to the results obtained by the traditional method of using the delay variation range information only.