ANALYTIC SOLUTIONS OF MATRIX RICCATI EQUATIONS WITH ANALYTIC COEFFICIENTS

被引：4

作者：

Curtain, Ruth ^{[1
]}

Rodman, Leiba ^{[2
]}

机构：

[1] Univ Groningen, Dept Math & Comp Sci, NL-97400 AV Groningen, Netherlands

[2] Coll William & Mary, Dept Math, Williamsburg, VA 23187 USA

来源：

SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS | 2010年 / 31卷 / 04期

关键词：

analytic invariant subspaces; Hamiltonian; Riccati equations; spatially invariant systems; linear quadratic regulator; H-infinity control; OPTIMAL ERROR REGULATION;

D O I：

10.1137/090775002

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

For matrix Riccati equations of platoon-type systems and of systems arising from PDEs, assuming the coefficients are analytic or rational functions in a suitable domain, analyticity of the stabilizing solution is proved under various hypotheses. General results on analytic behavior of stabilizing solutions are developed as well.

引用

页码：2075 / 2092

页数：18

共 50 条

[1] Painleve Analysis and Analytic Solutions to the Riccati Types of Equations
Liu, Hanze
RESULTS IN MATHEMATICS, 2015, 68 (1-2) : 261 - 269
[2] Painlevé Analysis and Analytic Solutions to the Riccati Types of Equations
Hanze Liu
Results in Mathematics, 2015, 68 : 261 - 269
[3] Analytic and numerical solutions of a Riccati differential equation with random coefficients
Licea, J. A.
Villafuerte, L.
Chen-Charpentier, B. M.
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2013, 239 : 208 - 219
[4] Rational matrix approximation with a priori error bounds for non-symmetric matrix Riccati equations with analytic coefficients
Jodar, L
Lopez, JCC
IMA JOURNAL OF NUMERICAL ANALYSIS, 1998, 18 (04) : 545 - 561
[5] On the Continuation of Solutions of Linear Equations with Analytic Coefficients
N. A. Shananin
Mathematical Notes, 2022, 111 : 954 - 960
[6] On the Continuation of Solutions of Linear Equations with Analytic Coefficients
Shananin, N. A.
MATHEMATICAL NOTES, 2022, 111 (5-6) : 954 - 960
[7] ON ANALYTIC SOLUTIONS OF PARTIAL DIFFERENTIAL EQUATIONS WITH CONSTANT COEFFICIENTS
AGRANOVICH, MS
DOKLADY AKADEMII NAUK SSSR, 1959, 124 (06): : 1183 - 1186
[8] COMPLETE FAMILIES OF SOLUTIONS FOR PARABOLIC EQUATIONS WITH ANALYTIC COEFFICIENTS
COLTON, D
SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 1975, 6 (06) : 937 - 947
[9] CONVERGENT SOLUTIONS FOR LINEAR DIFFERENTIAL EQUATIONS WITH ANALYTIC COEFFICIENTS
TURRITTIN, HL
BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1953, 59 (06) : 548 - 548
[10] ASYMPTOTIC SOLUTIONS OF DIFFERENTIAL-EQUATIONS WITH ANALYTIC COEFFICIENTS
ZILBERGLEIT, LV
DIFFERENTIAL EQUATIONS, 1982, 18 (06) : 720 - 724

← 1 2 3 4 5 →