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 Al- gorithm (GA). A theoretical proof of the validity of the obtained domain is developed. An illustrative example ends the paper. © 2006-2013 by CCC Publications.