Enlarging the Domain of Attraction in Nonlinear Polynomial Systems

Faiçal Hamidi, Houcem Jerbi, Wahida Aggoune, Mohamed DJEMAI, Mohamed Naceur Abdelkrim

Abstract


This paper addresses the problem of enlarging the Domain of Attraction (DA)  based on a Generalized Eigenvalue Problem (GEVP)  approach. The main contribution of the present development 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.


Keywords


Nonlinear Polynomial Systems, LMI, Genetic Algorithm, Stability

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DOI: https://doi.org/10.15837/ijccc.2013.4.152



Copyright (c) 2017 Faiçal Hamidi, Houcem Jerbi, Wahida Aggoune, Mohamed DJEMAI, Mohamed Naceur Abdelkrim

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