Cepeda, A.Alamo, TeodoroCamacho, Eduardo F.2020-04-022020-04-022005Cepeda, A., Alamo, T. y Camacho, E.F. (2005). Invariants sets for a class of discrete-time lur'e Systems. En IFAC World Congress (91-96), Praga (República Checa): Elsevier.1474-6670https://hdl.handle.net/11441/9484416th IFAC World Congress. 03/07/2005. Praga (República Checa)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.application/pdf6 p.engAttribution-NonCommercial-NoDerivatives 4.0 Internacionalhttp://creativecommons.org/licenses/by-nc-nd/4.0/Set invarianceDomain of attractionLur'e systemsinfo:eu-repo/semantics/conferenceObjectinfo:eu-repo/semantics/openAccesshttps://doi.org/10.3182/20050703-6-CZ-1902.00669