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
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;
Conference_Titel :
Decision and Control, 2002, Proceedings of the 41st IEEE Conference on
Print_ISBN :
0-7803-7516-5
DOI :
10.1109/CDC.2002.1184354
