Enlarging the Domain of Attraction in Nonlinear Polynomial Systems
Keywords:Nonlinear Polynomial Systems, LMI, Genetic Algorithm, Stability
This paper addresses the problem of enlarging the Domain of Attraction (DA)Â based onÂ a Generalized Eigenvalue Problem (GEVP)Â approach. The main contribution of the presentÂ development is the maximization of the (DA)Â while characterizing the asymptotic stabilityÂ region by a Lyapunov Function. Such result is obtained using a Genetic Algorithm (GA) . AÂ theoretical proof of the validity of the obtained domain is developed. An illustrative exampleÂ ends the paper.
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