DocumentCode
2466042
Title
Regional Stability Analysis of Implicit Polynomial Systems
Author
Coutinho, Daniel F. ; de Souza, Carlos E. ; Trofino, Alexandre
Author_Institution
Group of Autom. & Control Syst., PUC-RS, Porto Alegre
fYear
2006
fDate
13-15 Dec. 2006
Firstpage
4224
Lastpage
4229
Abstract
This paper focuses on the regional stability analysis of implicit polynomial systems subject to constant uncertain parameters. A polynomial Lyapunov function is computed that assures the robust local stability of the system and also provides an estimate of the domain of attraction. The stability conditions are cast as a set of linear matrix inequalities. A numerical example illustrates the effectiveness of the proposed method
Keywords
Lyapunov methods; linear matrix inequalities; numerical stability; polynomials; attraction domain estimation; constant uncertain parameters; implicit polynomial systems; linear matrix inequalities; polynomial Lyapunov function; regional stability analysis; robust local stability; Automatic control; Control systems; Direction of arrival estimation; Linear matrix inequalities; Lyapunov method; Polynomials; Robust stability; Stability analysis; Symmetric matrices; USA Councils;
fLanguage
English
Publisher
ieee
Conference_Titel
Decision and Control, 2006 45th IEEE Conference on
Conference_Location
San Diego, CA
Print_ISBN
1-4244-0171-2
Type
conf
DOI
10.1109/CDC.2006.377432
Filename
4177144
Link To Document