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离散正奇异切换系统的稳定性 被引量：2

The Stability of the Discrete Positive Singular Switched System
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摘要 通过分析离散正奇异切换系统解的结构和解的正性要求,运用一个辅助的正标准切换系统,给出离散正奇异切换系统在任意切换信号下是稳定的两个充分条件。并给出数值算例验证结论的可行性。 Through analysis of the solution structure and the positivity of the positive singular switched system, an auxiliary positive standard switched system is adopted to explore two sufficient conditions for stability under arbitrary switching. And a numerical example is given to illustrate the validity of the proposed conditions.
作者 黄丽琼
机构地区 商洛学院数学与计算机应用学院
出处 《商洛学院学报》 2014年第6期16-18,64,共4页 Journal of Shangluo University
基金 商洛学院科研基金项目(14SKY008)
关键词 正系统 奇异系统 切换系统 稳定性 positive system positive singular system switched system stability
分类号 O231 [理学—运筹学与控制论]
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参考文献1

二级参考文献28

  • 1GOEBEL R, SANFELICE R G, TEEL A R. Hybrid dynamical systems[J]. IEEE Control Systems Magazine, 2009, 29(2): 28-93.
  • 2LIBERZON D. Switching in systems and control[J]. Springer Verlag, 2003.
  • 3LI Z, SOH Y, WEN C. Switched and Impulsive Systems: Analysis, Design, and Applications[M]. Berlin Heidelberg: Springer-Verlag, 2005.
  • 4LIBERZON D, MORSE A S. Basic problems in stability and design of switched systems[J]. IEEE Control Systems Magazine, 1999, 19(1): 59-70.
  • 5BRANICKY M S. Multiple Lyapunov functions and other analysis tools for switched and hybrid systems[J]. IEEE Trans on Automatic Control, 1998, 43(4): 475-482.
  • 6MARGALIOT M, AO J, HESPANHA P. Root-mean-square gains of switched linear systems: A variational approach[J]. Automatica, 2008, 44(9): 2398-2402.
  • 7FAINSHIL L, MARGALIOT M, CHIGANSKY P. On the stability of positive linear switched systems under arbitrary switching laws[J]. IEEE Trans. on Automatic Control, 2009,54(4): 897-899.
  • 8BRANICKY M S, BORKAR V S, MITTER S K. A unified framework for hybrid control: model and optimal control theory[J]. IEEE Trans. on Automatic Control, 1998, 43(1): 31-45.
  • 9SHORTEN R, WIRTH F, MASON O, et al. Stability criteria for switched and hybrid systems[J]. SIAM Review, 2007,49(4): 545-592.
  • 10LEE J-W, KHARGONEKAR P P. Optimal output regulation for discrete,time switched and markovian jump linear systems[J]. SIAM Journal on Control & Optimization, 2008,47(1): 40-72.

同被引文献12

  • 1Farina L, Rinaldi S. Positive linear systems theory and applications[M].John Wiley and Sons, New York, 2000:165-221.
  • 2Rumchev V G, Caccetta L, Kostova S. Positivelinear dynamic model of mobile source of pollution and problems of control [M].Coventry University Coventry, 2003:602-607.
  • 3James G. Stability of linear discrete-time systems [J]. Technical Sciences,2005,53(1): 1-8.
  • 4Fornasini E, Valcher M E. Stability and stabilizability criteria for discrete-time positive switched systems [J]. IEEE TransAciIons on Automatic Control, 2011,57(5): 1208-1221.
  • 5Liu X, Wang L, Zhong S. Constrained control of positive discrete-time systems with delays[J]. Transition on Circuits and Systems-II,2008,55(1):193-197.
  • 6Shu Z, Lam J. Positive observers and dynamic output- feedback controlles for interval positive linear systems [J].IEEE Transactions Circuits System, 2008,55 (10): 3209-3222.
  • 7Feng J, Lam J. Declay rate constrained stabilization of positive systems using static output feedback [J]. International Journal of Rubust and Nonlinear Control, 2011,21(1):44-54.
  • 8Rami M A. Solvability of static output-feedback stabilization for LIM positive systems [J]. Systems and Control,2011 (60):704-708.
  • 9Meng M, Zhu S Q, Zhang C H. Static output feedback sontrol for positive systems via LP approach [C].The 31th Chinese Control Conference,2012:25-27.
  • 10熊建栋,黄琼,伍俊.切换正系统的渐近稳定性、L1增益及时变H∞控制[J].控制理论与应用,2019,36(10):1615-1621. 被引量：4

引证文献2

商洛学院学报
2014年 第6期

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