Finite iterative solutions to periodic Sylvester matrix equations

被引：41
|
作者：
Lv, Lingling [1 ]
Zhang, Zhe [1 ]
机构：
[1] North China Univ Water Resources & Elect Power, Inst Elect Power, Zhengzhou 450011, Peoples R China
来源：
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS | 2017年 / 354卷 / 05期
基金：
中国国家自然科学基金; 中国博士后科学基金;
关键词：
POLE ASSIGNMENT; SYSTEMS; STABILITY;
D O I：
10.1016/j.jfranklin.2017.01.004
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
The problem considered in this paper is to solve periodic Sylvester matrix equations. A new algorithm is presented to derive the least squares solution of the equations. The proposed iteration can converge to the unique solution of the considered matrix equations at finite steps with arbitrary initial condition. A numerical test result is provided to illustrate the convergence and efficiency of the iterative algorithm. (C) 2017 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.
引用
收藏
页码：2358 / 2370
页数：13
相关论文
共 50 条
  • [31] Symmetric solutions of the coupled generalized Sylvester matrix equations via BCR algorithm
    Hajarian, Masoud
    JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2016, 353 (13): : 3233 - 3248
  • [32] Constraint generalized Sylvester matrix equations
    Wang, Qing-Wen
    Rehman, Abdur
    He, Zhuo-Heng
    Zhang, Yang
    AUTOMATICA, 2016, 69 : 60 - 64
  • [33] Gradient-based iterative algorithms for generalized coupled Sylvester-conjugate matrix equations
    Huang, Bao-Hua
    Ma, Chang-Feng
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2018, 75 (07) : 2295 - 2310
  • [34] On the periodic Sylvester equations and their applications in periodic Luenberger observers design
    Lv, Lingling
    Zhang, Lei
    JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2016, 353 (05): : 1005 - 1018
  • [35] An iterative method for solving the generalized coupled Sylvester matrix equations over generalized bisymmetric matrices
    Dehghan, Mehdi
    Hajarian, Masoud
    APPLIED MATHEMATICAL MODELLING, 2010, 34 (03) : 639 - 654
  • [36] A Note On Periodic Solutions Of Matrix Riccati Differential Equations
    Goodarzi, Zahra
    Mokhtarzadeh, Mohammad Reza
    Pournaki, Mohammad Reza
    Razani, Abdolrahman
    APPLIED MATHEMATICS E-NOTES, 2021, 21 : 179 - 186
  • [37] An iterative algorithm to solve the generalized Sylvester tensor equations
    Huang, Baohua
    Ma, Changfeng
    LINEAR & MULTILINEAR ALGEBRA, 2020, 68 (06): : 1175 - 1200
  • [38] Iterative solutions for general coupled matrix equations with real coefficients
    Xie, Li
    Yang, Huizhong
    Liu, Yanjun
    Ding, Feng
    2011 AMERICAN CONTROL CONFERENCE, 2011, : 669 - 674
  • [39] Gradient based iterative solutions for general linear matrix equations
    Xie, Li
    Ding, Jie
    Ding, Feng
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2009, 58 (07) : 1441 - 1448
  • [40] An iterative algorithm for generalized Hamiltonian solution of a class of generalized coupled Sylvester-conjugate matrix equations
    Yan, Tongxin
    Ma, Changfeng
    APPLIED MATHEMATICS AND COMPUTATION, 2021, 411
12345