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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.
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Faiçal Hamidi, Mohamed Naceur Abdelkrim, Houcem Jerbi, Wahida Aggoune, Mohamed Djemai. Enlarging the Domain of Attraction in Nonlinear Polynomial Systems. International Journal of Computers, Communications and Control, Agora University of Oradea, 2013, 8 (4), pp.538-547. ⟨10.15837/ijccc.2013.4.152⟩. ⟨hal-03615604⟩



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