On Positive Real Lemma for stabilizable and detectable systems

被引：0

作者：

Kunimatsu, Sadaaki ^{[1
]}

Fujii, Takao ^{[2
]}

Ishitobi, Mitsuaki ^{[1
]}

机构：

[1] Kumamoto Univ, Kumamoto 860, Japan

[2] Fukui Univ Technol, Fukui, Japan

来源：

PROCEEDINGS OF THE 48TH IEEE CONFERENCE ON DECISION AND CONTROL, 2009 HELD JOINTLY WITH THE 2009 28TH CHINESE CONTROL CONFERENCE (CDC/CCC 2009) | 2009年

关键词：

YAKUBOVICH-POPOV LEMMA; OBSERVER; DESIGN;

D O I：

10.1109/CDC.2009.5400274

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 paper, we state the positive real lemma for stabilizable and detectable systems. First, without assumptions of controllability and observability, we show the positive real lemma for stable systems under only some constraint with respect to invariant zeros. Moreover we show that the solution of the Lyapunov equation in the positive real lemma is positive definite. Next we show the positive real and strictly positive real lemmas for stabilizable and detectable systems under only that constraint.

引用

页码：4282 / 4287

页数：6

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