On the Kalman-Yakubovich-Popov lemma and the multidimensional models

被引：25

作者：

Bachelier, Olivier ^{[2
]}

Paszke, Wojciech ^{[1
]}

Mehdi, Driss ^{[2
]}

机构：

[1] Eindhoven Univ Technol, Control Syst Technol Grp, NL-5600 MB Eindhoven, Netherlands

[2] Univ Poitiers, LAII, ESIP, F-86022 Poitiers, France

来源：

MULTIDIMENSIONAL SYSTEMS AND SIGNAL PROCESSING | 2008年 / 19卷 / 3-4期

关键词：

KYP lemma; hybrid n-D Roesser model; S-procedure; polynomial matrix partial derivative D-regularity; LMI;

D O I：

10.1007/s11045-008-0055-2

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

This paper focuses on Kalman-Yakubovich-Popov lemma for multidimensional systems described by Roesser model that possibly includes both continuous and discrete dynamics. It is shown that, similarly to the standard 1-D case, this lemma can be studied through the lens of S-procedure. Furthermore, by virtue of this lemma, we will examine robust stability, bounded and positive realness of multidimensional systems.

引用

页码：425 / 447

页数：23

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