relation: http://eprints.imtlucca.it/1472/
title: Stability analysis of discrete-time piecewise-affine systems over non-invariant domains
creator: Rubagotti, Matteo
creator: Zaccarian, Luca
creator: Bemporad, Alberto
subject: QA75 Electronic computers. Computer science
subject: TJ Mechanical engineering and machinery
description: This paper analyzes stability of discrete-time piecewise-affine systems defined on non-invariant domains. An algorithm based on linear programming is proposed, in order to prove the exponential stability of the origin and to find a positively invariant estimate of the region of attraction. The theoretical results are based on the definition of a piecewise-affine, possibly discontinuous, Lyapunov function. The proposed method presents a relatively low computational burden, and is proven to lead to feasible solutions in a broader range of cases with respect to a previously proposed approach.
publisher: IEEE
date: 2012-12
type: Book Section
type: PeerReviewed
identifier:   Rubagotti, Matteo and Zaccarian, Luca and Bemporad, Alberto  Stability analysis of discrete-time piecewise-affine systems over non-invariant domains.   In:  Proceedings of the IEEE 51st Annual Conference on Decision and Control (CDC), 2012.   IEEE, 4235 -4240.  ISBN 978-1-4673-2064-1      (2012)  
relation: http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=6426761&isnumber=6425800
relation: 10.1109/CDC.2012.6426761