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
收藏
页码：1799 / 1809
页数：11
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