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关于矩阵方程A^(τ)B+BA=-C的一个新结果 被引量:3

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摘要 考虑Lyapunov矩阵方程:■若矩阵A的特征值不满足:λ_(i)+λ_(j)≠0,(i,j=1,2,…n)。方程(1)的解的情况较复杂(即非唯一解),迄今少有研究结果。关于方程(1)的非唯一解,有重要意义的问题之一是与常系数线性系统。
作者 黄力民
机构地区 湘潭矿业学院
出处 《科学通报》 1988年第15期1195-1196,共2页 Chinese Science Bulletin
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  • 1Vorotnikov V I. Problems of stability with respect to part of the variables [J]. J. Appl. Maths Mechs, 1999, 63(5): 695-703.
  • 2Vorotnikov V I. Partial stability and eontrol[M]. Boston: Birkhauser,1998.
  • 3Chellaboina V, Haddad W M. A unification between partial stability and stability theory for time-varying systems [J]. IEEE Control Systems Magazine, 2002,22: 66-75.
  • 4Ge Zheng Ming, Chen YenSheng. Synchronization of unidirectional coupled chaotic systems via partial stability [ J]. Chaos, Solitions and Traetals, 2004, 21: 101- 111.
  • 5Michel A N, Molehanov A P, Sun Y. Partial stability and boundedness of general dynamical systems on metric spaces [J]. Nonlinear Analysis,2003, 52:1295- 1316.
  • 6Ignatyev A O. On the partial equiasymptotic stability in functional differential equations[J]. Journal of Mathematical Analysis and Applications,2002. 268:615-628.
  • 7Vorotnikov V I.Partial Stability and Contro[M].Boston:Birkhauser,1998.
  • 8Ge Zhengming,Chen Yensheng.Synchronization of unidirec-tional coupled chaotic systems via partial stability[J].Cha-os,Solitions and Tractals,2004,21:101-111.
  • 9Vijaysekhar C,Wassim M H.A Unification Between Partial-Stability and Stability Theory for Time-Varying Systems[J].IEEE Control Systems Magazine,2002,12:66-75.
  • 10Liu Biyu,Gui Weihua.Stabilization Controller for a Class ofNonlinear Discrete Control Systems with Separated Variabl-es[J].Mathematical Theory and Application,2003,23(3):53-55.

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