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

Enlarging region of attraction in Nonlinear Polynomial Systems

Faiçal Hamidi
  • Function : Author
Houcem Jerbi
  • Function : Author
Wassila Aggoune
  • Function : Author
  • PersonId : 788578
  • IdRef : 081797923
Mohamed Naceur Abdelkrim
  • Function : Author

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 Al- gorithm (GA). A theoretical proof of the validity of the obtained domain is developed. An illustrative example ends the paper.

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Automatic

Dates and versions

hal-03405683 , version 1 (27-10-2021)

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Faiçal Hamidi, Houcem Jerbi, Wassila Aggoune, Mohamed Djemai, Mohamed Naceur Abdelkrim. Enlarging region 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-03405683⟩
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