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
收藏
页码：120 / 132
页数：13
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