GENERALIZING THE KYP LEMMA TO MULTIPLE FREQUENCY INTERVALS

被引：1

作者：

Pipeleers, Goele ^{[1
]}

Iwasaki, Tetsuya ^{[2
]}

Hara, Shinji ^{[3
]}

机构：

[1] Katholieke Univ Leuven, Dept Mech Engn, B-3001 Heverlee, Belgium

[2] Univ Calif Los Angeles, Dept Mech & Aerosp Engn, Los Angeles, CA 90095 USA

[3] Univ Tokyo, Dept Informat Phys & Comp, Bunkyo Ku, Tokyo 1138656, Japan

来源：

SIAM JOURNAL ON CONTROL AND OPTIMIZATION | 2014年 / 52卷 / 06期

基金：

美国国家科学基金会;

关键词：

Kalman-Yakubovich-Popov; (kyp); lemma; INEQUALITIES; SYSTEMS; SQUARES;

D O I：

10.1137/130938451

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

A recent generalization of the Kalman-Yakubovich-Popov (kyp) lemma establishes the equivalence between a semi-infinite inequality on a segment of a circle or straight line in the complex plane and a linear matrix inequality. In this paper we further generalize the kyp lemma to particular curves in the complex plane, described by a polynomial equality and a polynomial inequality that satisfy certain conditions. The considered set of curves is shown to include the union of segments of a circle or line as a special case.

引用

页码：3618 / 3638

页数：21

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