Estimativa De Conjuntos Atratores De Sistemas N��o-Lineares e De Suas ��reas De Atra����o Utilizando Lmi (original) (raw)

Abstract    The stability analysis of nonlinear systems may involve the analysis of attracting sets, like limit cycles, strange attractors, etc. Methods based on Lyapunov's Theorem provide an estimate of the region of attraction of isolated equilibrium points, but usually, they are not very systematic and do not apply to attracting sets. This work presents a systematic procedure that allows estimating attracting sets of certain nonlinear systems as well as their region of attraction, using Lyapunov Functions with generic forms. The analyzed systems must be written like Lure Problem, but they are allowed to have nonlinear functions with less restrictive characteristics.

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