THE L∞/L2 HANKEL OPERATOR/NORM OF SAMPLED-DATA SYSTEMS

被引：6

作者：

Hagiwara, Tomomichi ^{[1
]}

Inai, Akira ^{[1
]}

Kim, Jung Hoon ^{[2
]}

机构：

[1] Kyoto Univ, Nishikyo Ku, Kyoto 6158510, Japan

[2] Korea Inst Sci & Technol, 5,Hwarang Ro 14 Gil, Seoul 136791, South Korea

来源：

SIAM JOURNAL ON CONTROL AND OPTIMIZATION | 2018年 / 56卷 / 05期

关键词：

sampled-data systems; Hankel norm; disturbance rejection; L-2; L-infinity; INFINITY-INDUCED NORM; APPROXIMATION; CONVOLUTION;

D O I：

10.1137/17M1123146

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

This paper is concerned with the Hankel operator and the Hankel norm of sampled-data systems. Even though these systems are intrinsically periodically time-varying, no studies have taken this important feature into account in the treatment of the Hankel operator/norm. We characterize the Hankel operator/norm of sampled-data systems adequately under the treatment with the L-2 norm for the past input and the L-infinity norm for the future output. Such treatment still captures the essential issue on the periodicity but contributes to neat arguments compared with the case when the L-2 norm is also considered on the future output.

引用

页码：3685 / 3707

页数：23

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