DocumentCode
3255119
Title
Estimating domains of attraction of a class of nonlinear dynamical systems with LMI methods based on the theory of moments
Author
Hachicho, Ossama ; Tibken, Bernd
Author_Institution
Dept. of Electr. & Inf. Eng., Wuppertal Univ., Germany
Volume
3
fYear
2002
fDate
10-13 Dec. 2002
Firstpage
3150
Abstract
The problem of determining domains of attraction is one of the most important when it comes to investigating nonlinear dynamical systems. In this contribution motivated by published theoretical results we suggest algorithms based on the mathematical theory of moments to solve the primal and the dual optimization problems related to determining domains of attraction of polynomial dynamical systems. We illustrate the algorithms with three examples.
Keywords
Lyapunov methods; duality (mathematics); linear matrix inequalities; matrix algebra; method of moments; minimisation; nonlinear dynamical systems; polynomials; LMI methods; domains of attraction; dual optimization problems; nonlinear dynamical systems; polynomial dynamical systems; primal optimization problems; theory of moments; Linear matrix inequalities; Linear systems; Lyapunov method; Minimization methods; Nonlinear dynamical systems; Optimization methods; Packaging; Polynomials; Robust stability; Symmetric matrices;
fLanguage
English
Publisher
ieee
Conference_Titel
Decision and Control, 2002, Proceedings of the 41st IEEE Conference on
ISSN
0191-2216
Print_ISBN
0-7803-7516-5
Type
conf
DOI
10.1109/CDC.2002.1184354
Filename
1184354
Link To Document