Title
Enlarging The Domain Of Attraction In Nonlinear Polynomial Systems
Abstract
This paper addresses the problem of enlarging the Domain of Attraction (DA) based on a Generalized Eigenvalue Problem (GEVP) approach. The main contribution is the maximization of the (DA) while characterizing the asymptotic stability region by a Lyapunov Function. Such result is obtained using a Genetic Algorithm (GA). A theoretical proof of the validity of the obtained domain is developed. An illustrative example ends the paper.
Year
DOI
Venue
2013
10.15837/ijccc.2013.4.152
INTERNATIONAL JOURNAL OF COMPUTERS COMMUNICATIONS & CONTROL
Keywords
Field
DocType
Nonlinear Polynomial Systems, LMI, Genetic Algorithm, Stability
Lyapunov function,Applied mathematics,Mathematical optimization,Nonlinear system,Polynomial,Artificial intelligence,Eigendecomposition of a matrix,Attraction,Machine learning,Genetic algorithm,Maximization,Mathematics
Journal
Volume
Issue
ISSN
8
4
1841-9836
Citations 
PageRank 
References 
0
0.34
0
Authors
5
Name
Order
Citations
PageRank
Faical Hamidi110.72
houcem jerbi200.34
wahida aggoune300.34
M. Djemaϊ46916.61
Mohamed Naceur Abdelkrim57028.78