HOMOGENEOUS RICCATI-EQUATIONS VERSUS QUADRATIC INEQUALITIES

被引：1
|
作者：
RODMAN, L
机构：
[1] Department of Mathematics, The College of William and Mary, Williamsburg
来源：
SYSTEMS & CONTROL LETTERS | 1995年 / 26卷 / 04期
基金：
美国国家科学基金会;
关键词：
ALGEBRAIC RICCATI EQUATIONS; QUADRATIC INEQUALITIES; COMPARISON THEOREMS; ISOTROPIC SUBSPACES;
D O I：
10.1016/0167-6911(95)00024-4
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
It is proved that, under certain hypotheses, the existence of hermitian solutions of a homogenized algebraic Riccati equation of continuous type is guaranteed if the corresponding quadratic inequality admits a hermitian solution. Both finite-dimensional (matrices) and infinite-dimensional (Hilbert space operators) Riccati equations are considered.
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页码：283 / 288
页数：6
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