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

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