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一类Lur'e系统新的绝对稳定性与绝对二次镇定条件 被引量：5

New absolute stability and stabilization conditions for a class of Lur'e uncertain time-delay systems
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摘要 针对一类具有状态和非线性机构滞后不确定Lur'e时滞系统,通过引入一种新的状态变换构造的Lya-punov函数,考虑了状态滞后与具有滞后项的非线性扰动,得出了基于线性矩阵不等式(LMI)方法的时滞依赖的绝对稳定性与绝对二次镇定的充分条件,并进行了数值仿真例子的验证,仿真结果表明所得结论较之已有结果在保守性方面有显著改进. The problem of new absolute stability and stabilization conditions subject to a class of Lur'e uncertain time-delay systems were proposed. Lyapunov functions combined with Linear Matrix Inequality (LMI) were used to derive, the sufficient delay dependent absolute stability and stabilization conditions for a class of Lur'e uncertain time-delay systems with time-delay feedback either in states or the nonlinear part through introducing a new state transformation. Finally, the absolute stability and stabilization conditions are illustrated by detailed examples. The result shows that there are distinct improvement in the aspect of conservation.
作者 鲁仁全 苏宏业 褚健
机构地区 工业控制技术国家重点实验室浙江大学先进控制研究所
出处 《浙江大学学报（工学版）》 EI CAS CSCD 北大核心 2004年第2期129-134,共6页 Journal of Zhejiang University：Engineering Science
基金 国家杰出青年基金资助项目(NOYSFC:60025308) 中国高等学校优秀青年教师教学科研奖励基金项目 国家"十五"科技攻关项目(2001BA204B01).
关键词 Lur’e时滞系统 时滞依赖 线性矩阵不等式 绝对二次镇定条件 非线性系统 uncertain Lur'e time-delay systems delay dependent linear matrix inequality (LMI)
分类号 O231.2 [理学—运筹学与控制论]
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参考文献11

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同被引文献26

  • 1毛北行.时滞Lurie切换系统的H_∞绝对稳定性问题[J].苏州大学学报（自然科学版）,2012,28(1):18-21. 被引量：1
  • 2ZHAOSheng-Zhi：,ZHAOJun.Quadratic Stability of Switched Nonlinear Systems in Block-triangular Form[J].自动化学报,2005,31(4):631-633. 被引量：10
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  • 8PHAT V N. New stabilization criteria for linear time-varying systems with state delay and norm-bounded uncertainties [J]. IEEE Transaction on Automatic Control,2002, 47 (12): 2095-2098.
  • 9MAO W J, CHU J. Quadratic stabilization of dynamic interval systems [J]. IEEE Transaction on Automatic Control, 2003, 48 (6): 1007-1012.
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引证文献5

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浙江大学学报（工学版）
2004年 第2期

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