期刊文献+

非线性时变系统的稳定性 被引量:2

Stability of nonlinear time-varying systems
下载PDF
导出
摘要 研究非线性时变系统的稳定性问题。通过引入具有齐次导数的时不变 L yapunov函数和近似系统的概念 ,给出一般非线性时变系统的零解渐近稳定的两个充分条件。应用实例显示出所给出方法在应用中是有效和方便的。 The stability of nonlinear time-varying systems is dealt with. By introducing the concepts of time-invariant Lyapunov function with homogeneous derivative and the approximate system two sufficient conditions for asymptotic stability of general nonlinear time-varying systems at the origin are obtained. An example is presented to show that the new method is efficient and convenient in use.
出处 《控制与决策》 EI CSCD 北大核心 2003年第4期453-455,459,共4页 Control and Decision
基金 国家 973基金资助项目 (19980 2 0 30 8)
关键词 非线性时变系统 稳定性 近似系统 时不变Lyapunov函数 Lyapunov methods Stability Time varying systems
  • 相关文献

参考文献8

  • 1Aeyels D. A new asymptotic stability criterion for nonlinear time-variant differential equations[J].IEEE Trans Aurora Contr, 1998,43(7):968-990.
  • 2Aeyels D. Stabilization of a class of nonlinear system by a smooth feedback control[J]. Syst Contr Lett, 1985,5(4) : 289-294.
  • 3Behtash S, Sastry D. Stabilization of nonlinear systems with uncontrollable linearization[J]. IEEE Trans Aurora Contr, 1988,33(6):585-590.
  • 4Isidori A. Nonlinear Control Systems[M]. 2nd Ed.New York:Springer-Verlag, 1989.
  • 5Panteley E, Loria A. On global uniform asymptotic stability of nonlinear time-varying systems in cascade[J].Syst Contr Lett,1998,33(2):131-138.
  • 6Cheng D, Martin C. Stabilization of non-llnear systems via designed center manifold[J]. IEEE Trans Autom Contr, 2001,46(9) : 1372-1383.
  • 7Conway J B. A Course in Functional Analysis[M]. New York: Springer-Verlag, 1985.
  • 8Hahn W.Stability of Motion[M].New York:Springer-Verlag, 1967.

同被引文献52

  • 1张国琪,吴宏鑫.一类非线性时变系统的全系数自适应控制方法[J].中国科学(F辑:信息科学),2009,39(10):1072-1079. 被引量:2
  • 2肖冬梅,邓宗琦.ABSOLUTE STABILITY OF TIME-VARYING NONLINEAR CONTROL SYSTEM[J].Acta Mathematica Scientia,1999,19(4):442-448. 被引量:1
  • 3许建新,侯忠生.学习控制的现状与展望[J].自动化学报,2005,31(6):943-955. 被引量:77
  • 4武玉强,顾建忠,冯纯伯.带有干扰的线性时变系统的非线性鲁棒控制[J].控制理论与应用,2006,23(1):103-107. 被引量:1
  • 5Shi Z Y, Law S S. Identification of linear time-varying dynamical systems using hilbert transform and empirical mode decomposition method[J]. J of Applied Mechanics- Transactions of the Asme, 2007, 74(2): 223-230.
  • 6Pillonetto G. Identification of time-varying systems in reproducing kernel hilbert spaces[J]. IEEE Trans on Automatic Control, 2008, 53(9): 2202-2209.
  • 7Bermudez J C M, Bershad N J. Transient and tracking performance analysis of the quantized lms algorithm for time-varying system identification[J]. IEEE Trans on Signal Processing, 1996, 44(8): 1990-1997.
  • 8Hsiao T. Identification of time-varying autoregressive systems using maximum a posteriori estimation[J]. IEEE Trans on Signal Processing, 2008, 56(8): 3497-3509.
  • 9Amato F, Ariola M, Cosentino C. Finite-time stability of linear time-varying systems: Analysis and controller design[J]. IEEE Trans on Automatic Control, 2010, 55(4): 1003-1008.
  • 10Oliveira R C L F, Peres P L D. Time-varying discrete-time linear systems with bounded rates of variation: Stability analysis and control design[J]. Automatica, 2009, 45(11): 2620-2626.

引证文献2

二级引证文献11

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部