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具有时滞的线性区间动力系统的鲁棒稳定性 被引量:2

On robust stability of linear interval systems with time-delay
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摘要 利用Lyapunov原理,给出了具有时滞的线性区间动力系统鲁棒稳定的一些充分条件,推广和改进了前人关于具有时滞的线性区间动力系统的鲁棒稳定性的相关结论,并举例说明了本文结果不仅保守性小,且计算简单. By employing Lyapunov method,some results for robust stability of linear interval systems with time-delay are derived and some previous criteria for stability of linear systems with time-delay are further developed.The numerical example shows that our result is not only less conservative,but also simple and easy to implement.
作者 宋乾坤
出处 《控制理论与应用》 EI CAS CSCD 北大核心 2005年第1期161-163,共3页 Control Theory & Applications
基金 教育部科学技术研究重点项目(03051) 浙江省自然科学基金资助项目(M103087) 湖州市自然科学基金资助项目(2004SZX0703).
关键词 区间矩阵 鲁棒稳定性 时滞 矩阵正定 interval matrix robust stability time-delay positive definite matrix
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参考文献7

  • 1年晓红.具有时滞的线性区间系统的鲁棒稳定性(英文)[J].控制理论与应用,1998,15(1):134-138. 被引量:12
  • 2吴方向,史忠科,戴冠中.动态区间系统的鲁棒稳定性[J].控制理论与应用,2001,18(1):113-115. 被引量:48
  • 3MORIT, KOKAME H. Stability of X(t) = AX(t) + BX(t- τ)[J]. IEEE Trans on Automatic Control, 1989,34(4 ): 460 - 462.
  • 4HMAMED A. On the stability of time-delay systems:new result [ J].Int J of Control, 1986,43 ( 1 ): 321 - 324.
  • 5SHYU K K. YAN J J. Robust stability of uncertain time-delay systems and its stabilization by variable structure control [ J ]. Int J of Control, 1993,57( 1 ) :237 - 246.
  • 6ZHOU C S, DENG J L. The stability of the grey linear system [ J].Int J of Control, 1986,43( 1 ): 313 - 320.
  • 7HALE J. Theory of Functional Differential Equation [ M ]. New York: Springer-Verlag, 1977.

二级参考文献10

  • 1Liu Y Q,Theory and Application of Large-Scale Dynamic Systems(in Chinese),1992年
  • 2Wang S S,Int J Syst Sci,1988年,19卷,3期,399页
  • 3Wang S S,Int J Control,1987年,46卷,3期,963页
  • 4Wu Fangxiang,学位论文,1998年
  • 5Mao Weijie,控制与决策,1997年,12卷,3期,264页
  • 6Sheng Tielong,H∞ 控制理论及应用,1996年
  • 7Wang K,IEEE Trans Automat Control,1994年,39卷,8期,1251页
  • 8Mei Z Y,控制理论与应用,1993年,140卷,3期,461页
  • 9Sun Jitao,自动化学报,1991年,17卷,6期,745页
  • 10Zhou C S,Int J Control,1986年,43卷,1期,313页

共引文献57

同被引文献52

  • 1Moore R E.Interval Arithmetic and Automatic Error Analysis in Digital Computing[D].Starford:Stanford University,1962.
  • 2Jaulin L,Kieffer M,Didrit O,et al.Applied Interval Analysis with Examples in Parameter and State Estimation,Robust Control and Robotics[M].London:Springer-Verlag,2001.
  • 3Hansen E R.Global Optimization Using Interval Analysis[M].New York:Marcel Dekker,1992.
  • 4Gau C Y,Brennecke J F,Stadtherr M A.Reliable Nonlinear Parameter Estimation in VLE Modeling[J].J of Fluid Phase Equilibria,2000,168(1):1-18.
  • 5Jaulin L,Walter E.Set Inversion via Interval Analysis for Nonlinear Bounded-error Estimation[J].Automatica,1993,29(4):1053-1064.
  • 6Benhamou F,Goualard F,Granvilliers L,et al.Revising Hull and Box Consistency[A].Proc of the 16th Int Conf on Logic Programming[C].Las Cruces,1999:230-244.
  • 7Jaulin L.Interval Constraint Propagation with Application to Bounded-error Estimation[J].Automatica,2000,36(10):1547-1552.
  • 8Jaulin L,Walter E.Guaranteed Parameter Bounding for Nonlinear Models with Uncertain Experimental Factors[J].Automatica,1999,35(5):849-856.
  • 9Braems I,Ramdani N,Boudenne A,et al.New Set-membership Techniques for Parameter Estimation in Presence of Model Uncertainty[A].Proc of the 5th Int Conf on Inverse Problems in Engineering:Theory and Practice[C].Cambridge,2005,B09:1-9.
  • 10Kieffer M,Jaulin L,Walter E.Guaranteed Recursive Nonlinear State Estimation Using Interval Analysis[A].Proc of the 37th IEEE Conf on Decision and Control[C].Tampa,1998:3966-3971.

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