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一类中立型不确定变时滞系统的稳定性新判据 被引量：1

New stability criterion for a class of uncertain neutral systems with time-varying delay
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摘要 研究了一类变时滞中立型系统的稳定性问题.采用自由权矩阵和Moon不等式方法,通过构造一个新的Lyapunov-Krasovskii泛函推导出系统稳定的充分条件.与已有文献结果相比,系统中立项系数矩阵可以是不确定的,最后给出数值算例验证该方法的有效性. The stability of uncertain neural systems with time-varying delay was discussed. Making use of the theory of the Lya- punov-Krasovskii functional method, relaxation metrics and Moon inequality, the sufficient condition for stability was obtained, of which the system neural matrix was allowed to be uncertain and less conservative than the existing results. An example was proposed to illustrate the effectiveness of the obtained results.
作者 孔宪明 鞠培军
机构地区 泰山学院数学与系统科学系
出处 《山东大学学报（工学版）》 CAS 北大核心 2009年第5期48-51,共4页 Journal of Shandong University（Engineering Science）
基金 山东省教育厅科研发展计划资助项目(J06P55 J07WJ23) 泰山学院科研资助立项项目(Y06-2-04)
关键词 时变时滞 中立型系统 LYAPUNOV-KRASOVSKII泛函 time-varying delay neutral system Lyapunov-Krasovskii functional
分类号 TP273 [自动化与计算机技术—检测技术与自动化装置]
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参考文献9

  • 1PARK P. A delay-dependent stability criterion for systems with uncertain time-invariant delays[ J]. IEEE Trans Autom Control, 1999, 44: 876-877.
  • 2MOON Y S, PARK P, KWON W H, et al. On an estimate of the delay rate for stable linear delay systems[J]. Int J Control, 2001, 36: 95-97.
  • 3ZHANG X M, WU M, SHE J H, et al. Delay-dependent stablization of linear systems with time-varying state and input delays[J]. Automatica, 2005,41 : 1405-1412.
  • 4YUE D, HAN Q L. Delay feedback control of uncertain systems with time-varying input selay[J]. Automatiea,2005,233-240.
  • 5王岩青,钱承山,姜长生.中立型不确定变时滞系统的一个时滞相关鲁棒稳定性判据[J].山东大学学报（工学版）,2008,38(1):116-120. 被引量：2
  • 6HE Y, WU M, SHE J H, et al. Delay-dependent robust stability criteria for uncertain neural systems with mixed delays[J]. Syst Control lett, 2004, 51:57-65.
  • 7WU M, HE Y, SHE J H. New delay-dependent stability criteria and stabilizing method for neural systems[J] .IEEE Trans Autom Control, 2004, 49:2266-2271.
  • 8张卫,鞠培军.广义变时滞区间系统的鲁棒H_∞弹性控制[J].山东大学学报（理学版）,2008,43(4):58-61. 被引量：5
  • 9KIM J H. Delay and its time-derivative dependent robust stability of time-delayed linear systems with uncertainty[ J]. IEEE Trans Automat Contr, 2001, 46(5):789-792.

二级参考文献27

  • 1Renxin ZHONG,Zhi YANG,Guoli WANG.On delay-dependent robust stability of neutral systems[J].控制理论与应用（英文版）,2006,4(2):181-186. 被引量：4
  • 2FRIDMAN E. New Lyapunov-Krasovskii functionals for stability of linear retarded and neutral type systems[J]. Syst Contr Lett, 2001, 43 (4) :309-319.
  • 3FRIDMAN E, SHAKED U. Delay-dependent stability and H infinite control: constant and time-varying delays[J]. Int J Contr, 2003, 76 (1):48-60.
  • 4MOON Y S, PARK P, KWON W H, et al. Delay-dependent robust stabihzation of uncertain state-delayed systems[J]. Int J Contr, 2001, 74:1447-1455.
  • 5KHARITONOV V L, ZHABKO A P. Lyaptmov-Krasovskii approach to the robust stability analysis of time-delay systems[J]. Automatica, 2003, 39(1):15-20.
  • 6MAHMOUD M S. New results on linear parameter-varying time-delay systems[ J]. J of the Franklin Institute, 2004,341(7):675-703.
  • 7GU K Q, NICULESCU S I. Further remarks on additional dynamics in various model transformations of linear delay systems[J]. IEEE Trans Automat Contr, 2001, 46(2):497-500.
  • 8WU M, HE Y, SHE J H, et al. Delay-dependent criteria for robust stability of time-varying delay systems[J]. Automatica, 2004, 40(8):1435-1439.
  • 9FRIDMAN E, SHAKED U. An improved stabilization method for linear time-delay systems[J]. IEEE Trans Automat Contr, 2002, 47(11):1931-1937.
  • 10JING X J, TAN D L, WANG Y C. An LMI approach to stability of systems with sever time-delay[J]. IEEE Trans Automat Contr, 2004, 49(7) : 1192-1195.

共引文献5

同被引文献12

引证文献1

二级引证文献10

山东大学学报（工学版）
2009年 第5期

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