Perturbation theory for algebraic Riccati equations

被引:49
|
作者
Sun, JG [1 ]
机构
[1] Umea Univ, Dept Comp Sci, S-90187 Umea, Sweden
关键词
algebraic Riccati equations; Hermitian positive semidefinite solution; perturbation bound; condition number;
D O I
10.1137/S0895479895291303
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
New perturbation results for the two different algebraic Riccati equations (continuous time and discrete time) are derived in a uniform manner. The new results are illustrated by numerical examples.
引用
收藏
页码:39 / 65
页数:27
相关论文
共 50 条
  • [1] Note on perturbation theory for algebraic Riccati equations
    Konstantinov, M
    Petkov, P
    SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS, 1999, 21 (01) : 327 - 327
  • [2] PERTURBATION THEORY FOR LINEARLY PERTURBED ALGEBRAIC RICCATI EQUATIONS
    Hasanov, Vejdi I.
    NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 2014, 35 (12) : 1532 - 1559
  • [3] PERTURBATION ANALYSIS OF ALGEBRAIC RICCATI-EQUATIONS
    CODENOTTI, B
    FAVATI, P
    FLANDOLI, F
    BOLLETTINO DELLA UNIONE MATEMATICA ITALIANA, 1988, 2B (04): : 817 - 830
  • [4] PERTURBATION ANALYSIS FOR SOLUTIONS OF ALGEBRAIC RICCATI-EQUATIONS
    CHEN, CH
    JOURNAL OF COMPUTATIONAL MATHEMATICS, 1988, 6 (04): : 336 - 347
  • [5] Perturbation analysis and condition numbers of symmetric algebraic Riccati equations
    Zhou, Liangmin
    Lin, Yiqin
    Wei, Yimin
    Qiao, Sanzheng
    AUTOMATICA, 2009, 45 (04) : 1005 - 1011
  • [6] Existence of algebraic matrix Riccati equations arising in transport theory
    Juang, Jonq
    Linear Algebra and Its Applications, 1995, 230
  • [7] On the generalized algebraic Riccati equations
    Ferrante, A.
    Ntogramatzidis, L.
    IFAC PAPERSONLINE, 2017, 50 (01): : 9555 - 9560
  • [8] Sensitivity of algebraic Riccati equations
    Gudmundsson, T
    Kenney, CS
    Laub, AJ
    PROCEEDINGS OF THE 35TH IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-4, 1996, : 3406 - 3411
  • [9] On damped algebraic Riccati equations
    He, CY
    Hench, JJ
    Mehrmann, V
    IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1998, 43 (11) : 1634 - 1637