Extension of Kalman-Yakubovich-Popov lemma to descriptor systems

被引：20

作者：

Camlibel, M. K. ^{[1
,2
]}

Frasca, R. ^{[3
]}

机构：

[1] Univ Groningen, Dept Math, NL-9700 AV Groningen, Netherlands

[2] Dogus Univ, Dept Elect & Commun Engn, TR-34722 Istanbul, Turkey

[3] Univ Sannio, Dipartimento Ingn, I-82100 Benevento, Italy

来源：

SYSTEMS & CONTROL LETTERS | 2009年 / 58卷 / 12期

关键词：

Descriptor systems; Singular systems; Passive systems; Dissipative systems; Positive realness; Kalman-Yakubovich-Popov lemma; DISSIPATIVE DYNAMICAL-SYSTEMS; POSITIVE REALNESS;

D O I：

10.1016/j.sysconle.2009.08.010

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 presents a complete analogue of the well-known Kalman-Yakubovich-Popov lemma for descriptor systems, i.e. necessary and sufficient linear matrix inequality conditions for passivity and positive realness of descriptor systems. Also a full characterization of extended strictly positive realness is given for this class of systems. Some of the earlier related results are recovered from the presented results. (C) 2009 Elsevier B.V. All rights reserved.

引用

页码：795 / 803

页数：9

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