中立型时滞系统稳定的充分必要条件  

Necessary andsufficient condition for delay-independent stability of linear neutral delay systems

作　　者：张志飞[1] 蔡晨辉 周少武[2] Zhang Zhifei Cai Chenghui Zhou Shaowu(School of Electro-mechanics ＆ Information Engineering, Foshan University, Foshan 528000,China School of Information and Eleetronic Engineering, Hunan University of Science and Technology, Xiangtan 411201, China)

机构地区：[1]佛山科学技术学院机械与电气工程学院,广东佛山528000 [2]湖南科技大学信息与电气工程学院,湖南湘潭411201

出　　处：《湖南科技大学学报（自然科学版）》2016年第3期76-80,共5页Journal of Hunan University of Science And Technology：Natural Science Edition

基　　金：国家自然科学基金资助项目(51374107;51277030)

摘　　要：研究了中立型系统的稳定性,得到了一个用稳定矩阵描述的系统全局时滞无关渐近稳定的充分必要条件,并提出了2种时滞无关稳定判断和时滞相关稳定确定时滞界的算法.将结果推广到了不确定性系统的鲁棒稳定性分析,给出了2个数值例子与同类研究结果进行了比较,算例表明,提出的方法是有效的.Stability analysis of linear neutral delay systems was considered, the delay maybe time-varying. A necessary and sufficient condition for delay-independent global asymptotic stability of such systems was derived, two algorithms were provided to determine if the systems was delay-independent or delay-dependent stable. Robust stability condition was investigated also. Eventually, two examples were given show the results established are valid.

关 键 词：中立型系统 时滞无关 时滞相关 不确定性 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]