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具有混合时滞的不确定中立系统的鲁棒稳定性分析 被引量：4

Robust Stability Criteria for Uncertain Neutral Systems with Mixed Delays
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摘要 研究一类具有混合时滞的不确定中立系统的鲁棒稳定性问题,利用线性矩阵不等式方法,给出了系统渐进稳定的充分条件,最后通过一些仿真例子验证了所得结果的有效性. This paper investigates the problem of the dependent robust stability of neutral systems with mixed delay and timevarying structure uncertainty. A delay-dependent stability criterion is obtained and formulated in the form of a linear matrix inequality. Some numerical examples are given to indicate significant improvements over some existing results.
作者 李太芳 徐兆棣
机构地区 沈阳师范大学数学与系统科学学院
出处 《沈阳师范大学学报（自然科学版）》 CAS 2009年第1期16-19,共4页 Journal of Shenyang Normal University:Natural Science Edition
基金 辽宁省自然科学基金资助项目(2001101026)
关键词 混合时滞 不确定性 中立系统 鲁棒稳定 mixed delay uncertain neutral systems robust stability
分类号 TP273 [自动化与计算机技术—检测技术与自动化装置]
  • 相关文献

参考文献9

  • 1HE Yong. Delay-dependent robust stability criteria for uncertain neutral systems with mixed delays [ J ]. Systems &Control letters, 2004,51 ( 1 ) : 57-65.
  • 2LIU Xinge. Delay-dependent stability analysis for uncertain neutral systems with time-varying delays[J ]. Mathematics and Computers in Simulation, 2007,75(1/2) : 15-27.
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  • 7JING Xing, TAN Dalong, WANG Yuechao. An LMI approach to stability of systems with severe time-delay[J]. IEEE Transactions On Automatic Control, 2004,49(7) : 1192-1195.
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同被引文献30

  • 1田连江,高为炳,程勉.线性时滞不确定系统的鲁棒性研究[J].控制理论与应用,1993,10(6):718-723. 被引量：23
  • 2张强,马润年.时滞细胞神经网络的时滞相关指数稳定性[J].数学物理学报（A辑）,2004,24(6):694-698. 被引量：4
  • 3张怡,阎晓艳.用线性矩阵不等式方法求解控制理论问题[J].机械管理开发,2006,21(1):24-25. 被引量：6
  • 4HE Yong, WU Min, SHE Jinhua, et al. Delay-dependent robust stability criteria for uncertain neutral systems with mixed delays[J]. Systems and Control Letters, 2004,51(1):57-65.
  • 5HAN Qinglong. A descriptor system approach to robust stability of uncertain neutral systems with discrete and distributed delays[ J ]. Automatica, 2004,40 (10) : 1791-1796.
  • 6MAHMOUD M S. Robust H∞ control of linear neutral system[J]. Automatica, 2000,36(5):757-764.
  • 7HAN Qinglong. Robust stability of uncertain delay-differential systems of neutral types[ J ]. Automatica, 2002,38 (4) : 719-723.
  • 8MONDIE S, KHARITONOV V L. Exponential estimates for retarded time-delay systems: an LMI approach[J]. IEEE Transactions on Automatic Control, 2005,50 (2) : 268-273.
  • 9KWON O M, PARK J H. Exponential stability of uncertain dynamic systems including state delay [J ]. Applied Mathematics Letters, 2006,129 ( 9 ) : 901-907.
  • 10于丽丽.不确定变时滞中立型系统的指数稳定与控制[D].大连:大连海事大学,2006.

引证文献4

二级引证文献11

沈阳师范大学学报（自然科学版）
2009年 第1期

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