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中立型时滞系统的渐近稳定性 被引量：1

Asymptotic Stability of Neutral Systems with Time Delays
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摘要 利用Lyapunov泛函方法 ,对具有离散和分布时滞的中立型系统的稳定性进行分析 ,得到了系统渐近稳定的两个时滞相关充分条件 ,这两个条件用线性矩阵不等式 (LMI)表示 ,易于验证 . Using Lyapunov functional method, this paper analyzes the stability of neutral systems with discrete and distributed delays. Two delay-dependent sufficient conditions are proposed to guarantee asymptotic stability for the systems considered, the derived sufficient conditions are expressed in terms of linear matrix inequality(LMI) which can be easilyvalidated. A numerical example is given to illustrate the effectiveness of the proposed method.
作者 张发明
机构地区 株洲工学院
出处 《湘潭大学自然科学学报》 CAS CSCD 2002年第4期92-95,共4页 Natural Science Journal of Xiangtan University
关键词 中立型时滞系统 渐近稳定性 线性矩阵不等式 Lyapunou泛函方法 矩阵范数 neutral system asymptotic stability linear matrix inequality(LMI)
分类号 TP13 [自动化与计算机技术—控制理论与控制工程] O231 [理学—运筹学与控制论]
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参考文献8

  • 1Park J K, Won S. Stability analysis for neutral delay-differential systems[J]. Journal of the Franklin Institute, 2000,337:1-9.
  • 2Fridman E. New Lyapunov-Krasovskii functionals for stability of linear retarded and neutral type systems[J].Systems & Control Letters, 2001,43:309-319.
  • 3Park J H. A new delay-dependent criterion for neutral systems with multiple delays[J], Journal of Computational and Applied Mathematics, 2001,136:177-184.
  • 4Chen J D, Lien C H, Fan K K et al. Delay-dependent stability criterion for neutral time-delay systems[J], Electronics Letters, 2000,36:189 7-189 8..
  • 5Xu B. Stability robustness bounds for linear systems with multiple time varying delayed perturbations[J]. Int. J. Systems Sci., 1997,28:13 11-1 317.
  • 6Gu K. An integral inequality in the stability problem of time-delay systems[J].Proc of 39 th IEEE CDC, Sydney, Austria, December 2000:2 805-2 810.
  • 7Hale J K. Theory of Functional Differential Equation[M]. New York: Springer-Verlag, 1977.
  • 8Boyd S, Ghaoui L El, Feron E, etal. Linear Matrix Inequalities in Systems and Control Theory[J],Studies in Applied Mathematics,SIAM, Philadelphia,1994,15:67.

同被引文献7

  • 1ChenJ D, LienC H, FanK K and Cheng J S. Delaydependent stability criterion for neutral time-delay systems [J]. Electronics Letters, 2000, (36) : 1897 -1898.
  • 2Xu B. Stability robustness bounds for linear systems with multiple time varying delayed perturbations[J]. Int J Systems Sci , 1997,(28):1311-1317.
  • 3Hale J K. Theory of Functional Differential Equation[M]. New York:Springer-Verlag, 1977.
  • 4Park J K, Won S. Stability analysis for neutral delaydifferential systems [J]. Journal of the Franklin Institute, 2000, (337): 1 -9.
  • 5Fridman E. New Lyapunov-Krasovskii functionals for stability of linear retarded and neutral type systems[J].Systems & Control Letters, 2001, (43) :309-319.
  • 6Park J H. A new delay-dependent criterion for neutral systems with multiple delays [ J ]. Journal of Computational and Applied Mathematics, 2001, (136):177-184.
  • 7张发明.Lurie型控制系统绝对稳定的时滞相关条件[J].株洲工学院学报,2003,17(2):22-24. 被引量：8

引证文献1

湘潭大学自然科学学报
2002年 第4期

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