DocumentCode
3307114
Title
On positive real lemma for stabilizable and detectable systems
Author
Kunimatsu, Sadaaki ; Fujii, Teruya ; Ishitobi, Mitsuaki
Author_Institution
Kumamoto Univ., Kumamoto, Japan
fYear
2009
fDate
15-18 Dec. 2009
Firstpage
4282
Lastpage
4287
Abstract
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.
Keywords
Lyapunov methods; controllability; observability; stability; state-space methods; Lyapunov equation; controllability; detectable system; observability; positive real lemma; stabilizable system; Control system synthesis; Control systems; Controllability; Eigenvalues and eigenfunctions; Equations; Linear matrix inequalities; Observability; State-space methods; Transfer functions;
fLanguage
English
Publisher
ieee
Conference_Titel
Decision and Control, 2009 held jointly with the 2009 28th Chinese Control Conference. CDC/CCC 2009. Proceedings of the 48th IEEE Conference on
Conference_Location
Shanghai
ISSN
0191-2216
Print_ISBN
978-1-4244-3871-6
Electronic_ISBN
0191-2216
Type
conf
DOI
10.1109/CDC.2009.5400274
Filename
5400274
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