Abstract | ||
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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 |
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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 Hamidi | 1 | 1 | 0.72 |
houcem jerbi | 2 | 0 | 0.34 |
wahida aggoune | 3 | 0 | 0.34 |
M. Djemaϊ | 4 | 69 | 16.61 |
Mohamed Naceur Abdelkrim | 5 | 70 | 28.78 |