Invariant sets for a class of discrete-time Lur'e systems

Authors:	Cepeda Alfonso, University of Seville, Spain Alamo Teodoro, University of Seville, Spain Camacho E.F., University of Seville, Spain
Topic:	2.3 Non-Linear Control Systems
Session:	Nonlinear Stability II
Keywords:	Set invariance, Domain of attraction, Lur'e systems

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.