Enlarging the Domain of Attraction in Nonlinear Polynomial Systems
Keywords:
Nonlinear Polynomial Systems, LMI, Genetic Algorithm, StabilityAbstract
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.
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