Strict positive realness of descriptor systems in state space

被引：11

作者：

Zeheb, Ezra ^{[2
,3
]}

Shorten, Robert ^{[1
]}

Sajja, S. Shravan K. ^{[1
]}

机构：

[1] NUI Maynooth, Hamilton Inst, Maynooth, Kildare, Ireland

[2] Technion Israel Inst Technol, Dept Elect Engn, IL-32000 Haifa, Israel

[3] Jerusalem Coll Engn, Dept Elect Engn, Jerusalem, Israel

来源：

INTERNATIONAL JOURNAL OF CONTROL | 2010年 / 83卷 / 09期

基金：

爱尔兰科学基金会;

关键词：

descriptor systems; Kalman-Yacubovich-Popov lemma; strict positive realness; extended strict positive realness; SINGLE-OUTPUT SYSTEMS; SPECTRAL CONDITIONS; LYAPUNOV FUNCTIONS; MATRICES;

D O I：

10.1080/00207179.2010.496094

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

In this article, we give necessary and sufficient spectral conditions for various notions of strict positive realness for single-input single-output descriptor systems. These conditions only require calculation of eigenvalues of a single matrix. A characterisation of a Kalman-Yacubovich-Popov-like lemma for descriptor systems is also derived, and its implications for the stability of a class of switched descriptor systems are briefly discussed.

引用

页码：1799 / 1809

页数：11

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