Lower solution bounds of the continuous coupled algebraic Riccati matrix equation

被引:0
|
作者
Juan Zhang
Jianzhou Liu
机构
[1] Xiangtan University,Department of mathematics and computational science
[2] Xiangtan University,Key Laboratory of Intelligent Computing & Information Processing of Ministry of Education
关键词
Continuous coupled algebraic Riccati equation; eigenvalue; matrix bound;
D O I
暂无
中图分类号
学科分类号
摘要
In this paper, applying eigenvalue sum inequality of symmetric matrix and the properties of M-matrix and its inverse matrix, we introduce new lower matrix bounds for the solution of the continuous coupled algebraic Riccati equation. Finally, we give corresponding numerical examples to demonstrate the effectiveness of the derived results.
引用
收藏
页码:1273 / 1278
页数:5
相关论文
共 50 条
  • [31] On lower bounds of the solution of the discrete time algebraic Riccati equation
    Chen Dongyan
    Bi Haiyun
    PROCEEDINGS OF THE 26TH CHINESE CONTROL CONFERENCE, VOL 3, 2007, : 565 - +
  • [32] Explicit matrix bounds of the solution for the continuous Riccati equation
    Chen, Cheng-Yi
    Lee, Chien-Hua
    ICIC Express Letters, 2009, 3 (02): : 147 - 152
  • [33] New solution bounds for the discrete algebraic matrix riccati equation
    Lee, CH
    Hsien, TL
    OPTIMAL CONTROL APPLICATIONS & METHODS, 1999, 20 (03): : 113 - 125
  • [34] TRACE BOUNDS ON THE SOLUTION OF THE ALGEBRAIC MATRIX RICCATI AND LYAPUNOV EQUATION
    WANG, SD
    KUO, TS
    HSU, CF
    IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1986, 31 (07) : 654 - 656
  • [35] BOUNDS FOR THE EIGENVALUES OF THE SOLUTION OF THE UNIFIED ALGEBRAIC RICCATI MATRIX EQUATION
    MRABTI, M
    BENSEDDIK, M
    SYSTEMS & CONTROL LETTERS, 1995, 24 (05) : 345 - 349
  • [36] Unified, improved matrix upper bound on the solution of the continuous coupled algebraic Riccati equation
    Xu, Jianhong
    JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2013, 350 (06): : 1634 - 1648
  • [37] New unified matrix upper bound on the solution of the continuous coupled algebraic Riccati equation
    Xu, Jianhong
    Rajasingam, Prasanthan
    JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2016, 353 (05): : 1233 - 1247
  • [38] Upper solution bounds of the continuous and discrete coupled algebraic Riccati equations
    Davies, Richard
    Shi, Peng
    Wiltshire, Ron
    AUTOMATICA, 2008, 44 (04) : 1088 - 1096
  • [39] New upper solution bounds of the discrete algebraic Riccati matrix equation
    Davies, Richard
    Shi, Peng
    Wiltshire, Ron
    JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2008, 213 (02) : 307 - 315