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
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;
Conference_Titel :
Decision and Control, 2006 45th IEEE Conference on
Conference_Location :
San Diego, CA
Print_ISBN :
1-4244-0171-2
DOI :
10.1109/CDC.2006.377432
