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On delay-dependent robust stability for uncertain neutral systems 被引量：6

On delay-dependent robust stability for uncertain neutral systems
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摘要 The problem of delay-dependent criteria for the robust stability of neutral systems with time-varying structured uncertainties and identi-cal neutral-delay and discrete-delay is concerned. A criterion for nominal systems is presented by taking the relationship between the terms in the Leibniz-Newton formula into account, which is described by some free-weighting matrices. In addition, this criterion is extended to robust stability of the systems with time-varying structured uncertainties. All of the criteria are based on linear matrix inequality such that it is easy to calculate the upper bound of the time-delay and the free-weighting matrices. Numerical examples illustrate the effectiveness and the improvement over the existing results. The problem of delay-dependent criteria for the robust stability of neutral systems with time-varying structured uncertainties and identi-cal neutral-delay and discrete-delay is concerned. A criterion for nominal systems is presented by taking the relationship between the terms in the Leibniz-Newton formula into account, which is described by some free-weighting matrices. In addition, this criterion is extended to robust stability of the systems with time-varying structured uncertainties. All of the criteria are based on linear matrix inequality such that it is easy to calculate the upper bound of the time-delay and the free-weighting matrices. Numerical examples illustrate the effectiveness and the improvement over the existing results.
作者 HeYong WuMin
机构地区 SchoolofInformationScienceandEngineering SchoolofInformationScienceandEngineering
出处 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2005年第2期351-355,共5页 系统工程与电子技术（英文版）
基金 ThisprojectwassupportedbytheNationalScienceFoundationofChina(60425310),theTeachingandResearchAwardProgramforOutstandingYoungTeachersinHigherEducationInstitutionsofMOE.
关键词 neutral system delay-dependent criteria robust stability time-varying structured uncertainties linear matrix inequality. neutral system, delay-dependent criteria, robust stability, time-varying structured uncertainties, linear matrix inequality.
分类号 TP27 [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24

  • 1Kuang Y. Delay differential equations with applications in population dynamics. Academic Press: Boston, 1993.
  • 2Park P. A delay-dependent stability criterion for systems with uncertain time-invariant delays. IEEE Trans. Automat. Contr., 1999, 44(4):876～877.
  • 3Moon Y S, Park P, Kwon W H, et al. Delay-dependent robust stabilization of uncertain state-delayed systems. Int.J. Control, 2001, 74(14):1447～145.
  • 4Kim J H. Delay and its time-derivative dependent roubst stability of time-delayed linear systems with uncertainty.IEEE Trans. Automat. Contr. , 2001, 46(5) :789～792.
  • 5Yue D, Won S. An improvement on ‘Delay and its timederivative dependent roubst stability of time-delayed linear systems with uncertainty'. IEEE Trans. Automat. Contr., 2002, 47(2):407～408.
  • 6Lien C H, Yu K W, Hsieh J G. Stability conditions for a class of neutral systems with multiple delays. J. Math.Anal. Appl., 2000, 245 (1): 20～ 27.
  • 7Chen J D, Lien C H, Fan K K, et al. Criteria for asymptotic stability of a class of neutral systems via a LMI approach. IEE Proc.-Control Theory Appl., 2001, 148(6): 442～447.
  • 8Niculescu S I. On delay-dependent stability under model transformations of some neutral linear systems. Int. J.Control, 2001, 74(6): 609～617.
  • 9Fridman E. New Lyapunov-Krasovskii functionals for stability of linear retarded and neutral type systems. Syst.Contr. Lett., 2001, 43(4): 309～319.
  • 10Lien C H. New stability criterion for a class of uncertain nonlinear neutral time-delay systems. Int. J. Sys. Sci.,2001, 32(2) :215～219.

同被引文献14

  • 1周靖林 ,岳红 ,王宏 .基于有理平方根B样条模型的概率密度函数形状控制[J].自动化学报,2005,31(3):343-351. 被引量：8
  • 2WUMin,HEYong,SHEJin-Hua.Delay-dependent Robust Stability and Stabilization Criteria for Uncertain Neutral Systems[J].自动化学报,2005,31(4):578-583. 被引量：7
  • 3Hale J K, Verduyn Lunel S M. Intriducton of functional differential equations[ M]. New York: Springer, 1993.
  • 4Xie L. Output feedback H∞ control of systems with parameter uncertainty[ J ]. International Journal of Control, 1996, 63(4) : 741-750.
  • 5Li Hong, Zhong Shou-ming, Li Hou-biao. Some new simple stability criteria of linear neutral systems with a single delay[J]. Journal of Computational and Applied Mathematics, 2007,200( 1 ) :441-447.
  • 6Ju-H Park, S Won. A note on stability of neutral delay-differential systems [ J]. Journal of the Franklin Institute, 1999,36(3) :543-548.
  • 7Ju-H Park, S Won. Stability analysis for neutral delay-differential systems [ J]. Journal of the Franklin Institute, 2000,337( 1 ) :1-9.
  • 8Han Q L. Robust stability of uncertain delay-differential systems of neutral type [ J ]. Automatica, 2002,38 ( 4 ) : 719- 723.
  • 9Han Qing-long. A descriptor system approach to robust stability of uncertain neutral systems with discrete and distributed delays [ C ]//Proceedings of the American control conference. Denver, Colorado : IEEE, 2003 : 5098-5103.
  • 10CHEN De-Yin JIN Chao-Yong.Delay-dependent Stability Criteria for a Class of Uncertain Neutral Systems[J].自动化学报,2008,34(8):989-992. 被引量：17

引证文献6

二级引证文献25

Journal of Systems Engineering and Electronics
2005年 第2期

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