¤Departamento de Ingeniería de Sistemas y AutomÆtica,

Abstract: We present a method to estimate the domain of attraction of a class of discrete-time Lur'e systems. A new notion of LNL-invariance, stronger than the traditional invariance concept, is introduced. An algorithm to determinate the largest LNL-invariant set for this class of systems is proposed. Moreover, it is proven that the LNL-invariant sets provided by this algorithm are polyhedral convex sets and constitute an estimation of the domain of attraction of the non-linear system. Copyright c°2005 IFA