Title :
Region of attraction estimates for polynomial systems
Author :
Valmórbida, Giòrgio ; Tarbouriech, Sophie ; Garcia, Germain
Author_Institution :
LAAS-CNRS, Univ. de Toulouse, Toulouse, France
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;
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
Print_ISBN :
978-1-4244-3871-6
Electronic_ISBN :
0191-2216
DOI :
10.1109/CDC.2009.5399969
