Enlarging region of attraction in Nonlinear Polynomial Systems

Enlarging region of attraction in Nonlinear Polynomial Systems

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 Ge...

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Veröffentlicht in:International journal of computers, communications & control communications & control, 2013, Vol.8 (4), p.538-547
Hauptverfasser: Hamidi, Faiçal, Jerbi, Houcem, Aggoune, Wassila, Djemai, Mohamed, Abdelkrim, Mohamed Naceur
Format: Artikel
Sprache:eng
Schlagworte:
Automatic
Engineering Sciences
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Zusammenfassung: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.
ISSN:1841-9836
1841-9844
DOI:10.15837/ijccc.2013.4.152