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Journal Articles International Journal of Computers, Communications and Control Year : 2013

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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Origin : Publication funded by an institution
Licence : CC BY NC - Attribution - NonCommercial

Dates and versions

hal-03615604 , version 1 (28-04-2022)

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Attribution - NonCommercial

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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, 2013, 8 (4), pp.538-547. ⟨10.15837/ijccc.2013.4.152⟩. ⟨hal-03615604⟩
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