Please use this identifier to cite or link to this item: http://repositorio.unicamp.br/jspui/handle/REPOSIP/95086
Type: Artigo de evento
Title: Piecewise-affine Lyapunov Functions For Discrete-time Linear Systems With Saturating Controls
Author: Milani B.E.A.
Abstract: This paper is concerned with piecewise-affine functions as Lyapunov function candidates for stability analysis of time-invariant discrete-time linear systems with saturating closed-loop control inputs. Considering the nonlinear behavior of the closed-loop system, new necessary and sufficient conditions for a piecewise-affine function be a Lyapunov function are presented. Based on linear programming formulation of these conditions, an effective procedure is proposed for determination of such Lyapunov functions and associated polyhedral regions of local asymptotic stability, with reduced conservativeness. Compared to piecewise-linear functions, like Minkowski functions, piecewise-affine functions are more adequate to capture the dynamical effects of saturation nonlinearities, giving strictly less conservative results.
Editor: 
Rights: fechado
Identifier DOI: 
Address: http://www.scopus.com/inward/record.url?eid=2-s2.0-0034847854&partnerID=40&md5=7eba1476bc15c7015dc20749166d0057
Date Issue: 2001
Appears in Collections:Unicamp - Artigos e Outros Documentos

Files in This Item:
There are no files associated with this item.


Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.