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时滞依赖型中立系统的鲁棒稳定性分析
引用本文:石胜利,杨军,华长春,王利魁.时滞依赖型中立系统的鲁棒稳定性分析[J].纯粹数学与应用数学,2007,23(2):243-249.
作者姓名:石胜利  杨军  华长春  王利魁
作者单位:1. 燕山大学理学院,河北,秦皇岛,066004
2. 燕山大学理学院,河北,秦皇岛,066004;河北省数学研究中心,河北,石家庄,050000
摘    要:研究了一类不确定中立型系统的时滞依赖稳定性问题.利用基于LMI正定解的存在性,给出了一个新时滞依赖型稳定性判据,相比于已有文献本文具有低的保守性.最后通过数值算例验证了本文得到的结论的正确性和有效性.

关 键 词:中立型时滞系统  线性矩阵不等式  鲁棒稳定性
文章编号:1008-5513(2007)02-0243-07
修稿时间:2005-07-15

Delay-dependent robust stability of neutral systems
SHI Shengli,YANG Jun,HUA Chang chun,WANG Likui.Delay-dependent robust stability of neutral systems[J].Pure and Applied Mathematics,2007,23(2):243-249.
Authors:SHI Shengli  YANG Jun  HUA Chang chun  WANG Likui
Institution:1. Yanshan University, Qinhuangdao 066004, China; 2. Mathematics Research Center in Hebei Province, Shijiazhuang 050000, China
Abstract:The delay-dependent robust stability problem is investigated for a class of neutral systems with uncertainties. A new delay-dependent stability criterion is obtained in the form of linear matrix inequalities via novel Lyapunov Krasovskii functional. The result obtained is less conservative than those obtained in former literature. Finally, numerical examples are given to show the correctness and effectiveness of the main results.
Keywords:neutral time delay systems  linear matrix inequality  robust stability
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