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广义耦合Sylvester四元数矩阵方程组解的性质(英文) 被引量:3

Properties of solution to a system of coupled generalized Sylvester quaternion matrix equations
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摘要 考虑了广义耦合Sylvester四元数矩阵方程组解的一些性质.给出了广义耦合Sylvester四元数矩阵方程组解的秩的界,推广了一些已知结论. We consider some properties of the general solution to a system of coupled generalized Sylvester quaternion matrix equations. We derive the rank bound of the general solution to the above-mentioned system of quaternion matrix equations. The findings of this paper extend some known results in the literature.
作者 杨晓晓 王卿文 YANG Xiaoxiao;WANG Qingwen(College of Sciences,Shanghai University,Shanghai 200444,China)
机构地区 上海大学理学院
出处 《应用数学与计算数学学报》 2018年第2期323-330,共8页 Communication on Applied Mathematics and Computation
基金 Project supported by the National Natural Science Foundation of China(11571220)
关键词 Sylvester矩阵方程 四元数 MOORE-PENROSE逆 Sylvester matrix equation quaternion rank Moore-Penrose inverse
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  • 1SHAHZAD A B,JONES L,KERRIGAN E C,et al.An efficient algorithm for the solution of a coupled Sylvester equation appearing in descriptor systems [J].Automatica,2011,47:244-248.
  • 2CAVINLII Pt K,BHATTACHARYYA S P.Robust and well-conditioned eigenstructure assignment via Sylvester's equation [J].Optim Control Appl Methods,1983,4(3):205 212.
  • 3VARGA A.Robust pole assignment via Sylvester equation based state feedback parametrization [J].Computer-Aided Control System Design,2000,57:13-18.
  • 4ZHANG Y N,JIANG D C,WANG J.A recurrent neural network for solving Sylvester equation with time-varying coefficients [J].IEEE Trans Neural Networks,2002,13(5):1053-1063.
  • 5SABERI A,STOORVOGEL A A,SANNUTI P.Control of linear systems with regulation and input constraints [M].Berlin:Springer Verlag,2003.
  • 6SYRMOS V L,LEWIS F L.Output feedback eigenstructure assignment using two Sylvester equa-tions [J].IEEE Trans Autom Control,1993,38:495 499.
  • 7DEHGHAN M,HAJARIAN M.Analysis of an iterative algorithm to solve the generalized coupled Sylvester matrix equations [J].Appl Math Model,2011,35:3285-3300.
  • 8DEHGHAN M,HAJARIAN M.An efficient iterative method for solving the second-order Sylvester matrix equation EVF2-AVF-CV=BW [J].IET Control Theory Appl,2009,3:1401-1408.
  • 9DING F,CHEN T.Gradient based iterative algorithms for solving a class of matrix equations [J].IEEE Trans Autom Control,2005,50(8):1216-1221.
  • 10DING F,LIu P,DING J.Iterative solutions of the generalized Sylvester matrix equations by using the hierarchical identification principle [J].Appl Math Comput,2008,197(1):41-50.

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