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时滞系统稳定判据的等价性证明(英文)

On equivalence of stability criteria for time-delay systems
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摘要 近期,自由权矩阵技术成为处理时滞系统时滞相关稳定的重要方法.论文采用积分不等式方法获得一类不包含任何自由权矩阵的时滞相关稳定简化型判据,这些判据理论上证明是等价于目前存在的一些包含自由权矩阵稳定结论的,因此,通过此法可以有效降低结论的运算量. tn recent years, free weighting matrix approach is an important technique to deal with the delay-dependent stability problem for systems with time-varying delay. In this paper, some simplified delay-dependent sta- bility criteria are derived by using a simple integral inequality, in which no free weighting matrix is involved. These presented re- suits turn out to be equivalent to some latest results but include the least number of variables. This feature can largely reduce the computational burden of the obtained LMI conditions.
作者 李涛 吴凌尧
机构地区 南京信息工程大学信息与控制学院 东南大学自动化学院
出处 《南京信息工程大学学报（自然科学版）》 CAS 2010年第2期97-102,共6页 Journal of Nanjing University of Information Science & Technology（Natural Science Edition）
基金 supported by the National Science Foundation of China under Grant No.60904025 and 60904026 Key Laboratory of Education Ministry for Image Processing and Intelligent control under Grant No.200805
关键词 时滞相关 稳定 线性矩阵不等式 delay-dependent stability linear matrix inequality （LMI）.
分类号 TP11 [自动化与计算机技术—控制理论与控制工程]
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参考文献20

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南京信息工程大学学报（自然科学版）
2010年 第2期

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