The strict bounded real lemma for linear time-varying systems

被引：4

作者：

Chen, WY ^{[1
]}

Tu, FS

机构：

[1] Nankai Univ, Coll Math, Tianjin 300071, Peoples R China

[2] Nankai Univ, Dept Comp & Syst Sci, Tianjin 300071, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2000年 / 244卷 / 01期

基金：

中国国家自然科学基金;

关键词：

time-varying systems; I/O operator; Riccati equation; H-infinity-norm;

D O I：

10.1006/jmaa.1999.6693

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we present a strict bounded real lemma for Linear time-varying systems in the infinite-horizon case. Using some operator methods, we show that the strict bounded realness for the related I/O operators is equivalent to the solvability of a semidefinite or definite Riccati equation. We also apply this result to the problem of disturbance attenuation and H-x-optimization. All our results include current ones in the literature for linear time-invariant systems. (C) 2000 Academic Press.

引用

页码：120 / 132

页数：13

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