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Lurie非线性系统时滞相关绝对稳定性分析

Research on Delay-Dependent Absolute Stability of Lurie Nonlinear Systems
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摘要 利用增广的Lyapunov泛函结合自由权矩阵方法,对非线性Lurie时滞系统的绝对稳定性问题进行了研究,得到了系统基于线性矩阵不等式(LMI)的具有更低保守性的时滞相关绝对稳定条件。数值实例表明,本方法所得结果优于已有文献中的结果。  The problem of absolute stability of Lurie nonlinear systems with time-delay is investigated by using aug-mented Lyapunov functional combined with the free-weighting matrix approach.Some less conservative delay-dependent stability criteria are obtained and formulated in the form of linear matrix inequalities(LMIs).Numerical example shows that the results obtained are better than the existing results.
机构地区 中南大学
出处 《湖南工业大学学报》 2007年第6期52-55,共4页 Journal of Hunan University of Technology
基金 国家博士点专项科研基金资助项目(20050533015) 国家杰出青年科学基金资助项目(60425310) 国家自然科学基金资助项目(60574014)
关键词 LURIE时滞系统 绝对稳定 时滞相关 增广Lyapunov泛函 自由权矩阵 Lurie systems with time-delay absolute stability delay-dependent augmented Lyapunov functional free-weighting matrix
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参考文献16

  • 1[1]Lur'e A I,Postnikov V N.On the theory of stability of control systems[J].Prikladnayay Matematika Mehkhanika,1944,8 (3):246-248.
  • 2[2]Popov V M.Hyperstability of control systems[M].New York:Springer,1973.
  • 3[3]Khalil H K.Nonlinear systems[M].Upper Saddle River,NJ:Prentice-Hall,1996.
  • 4[4]Yakubovich V A,Leonov G A,Gelig A Kh.Stability of stationary sets in control systems with discontinuous nonlinearities[M].Singapore:World Scientific,2004.
  • 5[5]Yang C,Zhang Q,Zhou L.Generalised absolute stability analysis and synthesis for Lur'e-type descriptor systems[J].IET Control Theory and Application,2007,1 (3):617-623.
  • 6[6]Popov V M,Halanay A.About stability of nonlinear controlled systems with delay[J].Automation Remote Control,1962,23 (7):849-851.
  • 7[7]Gan Z X,Ge W G.Lyapunov functional for multiple delay general Lur'e control systems with multiple nonlinearities[J].Journal of Mathematics Analysis and Applications,2001,259 (2):596-608.
  • 8[8]He Y,Wu M.Absolute stability for multiple delay general Lur'e control systems with multiple nonlinearities[J].Journal of Computational and Applied Mathematics,2003,159(2):241-248.
  • 9[9]Han Q L.Absolute stability of time-delay systems with sector-bounded nonlinearity[J].Automatic a,2005,41 (12):2171-2176.
  • 10[10]Fridman E,Shaked U.Delay-dependent stability and H∞ control:Constant and time-varying delays[J].Int.J.Control,2003,76(1):48-60.

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