DocumentCode
3301604
Title
Region of attraction estimates for polynomial systems
Author
Valmórbida, Giòrgio ; Tarbouriech, Sophie ; Garcia, Germain
Author_Institution
LAAS-CNRS, Univ. de Toulouse, Toulouse, France
fYear
2009
fDate
15-18 Dec. 2009
Firstpage
5947
Lastpage
5952
Abstract
This paper proposes a method to estimate the region of attraction of nonlinear polynomial systems. Based on quadratic Lyapunov functions, stability analysis conditions in a ¿quasi¿-LMI form are stated in a regional (local) context. An LMI-based optimization problem is then derived for computing the Lyapunov matrix maximizing the estimate of the region of attraction of the origin.
Keywords
Lyapunov methods; estimation theory; linear matrix inequalities; nonlinear control systems; optimisation; polynomials; stability; Lyapunov matrix; nonlinear polynomial systems; optimization problem; quadratic Lyapunov functions; quasi-LMI form; region of attraction estimates; stability analysis conditions; Computational modeling; Constraint optimization; Level set; Lyapunov method; Nonlinear systems; Polynomials; Scholarships; Stability analysis; Symmetric matrices; Yield estimation;
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.2009.5399969
Filename
5399969
Link To Document