eprintid: 1472
rev_number: 8
eprint_status: archive
userid: 6
dir: disk0/00/00/14/72
datestamp: 2013-02-13 07:46:55
lastmod: 2013-02-13 07:46:55
status_changed: 2013-02-13 07:46:55
type: book_section
metadata_visibility: show
creators_name: Rubagotti, Matteo
creators_name: Zaccarian, Luca
creators_name: Bemporad, Alberto
creators_id: 
creators_id: 
creators_id: alberto.bemporad@imtlucca.it
title: Stability analysis of discrete-time piecewise-affine systems over non-invariant domains
ispublished: pub
subjects: QA75
subjects: TJ
divisions: EIC
full_text_status: none
keywords: Closed loop systems; Control theory; Lyapunov methods; Reachability analysis; Stability analysis; Vectors; Xenon
note: 51st IEEE Conference on Decision and Control December 10-13, 2012. Maui, Hawaii, USA
abstract: 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.
date: 2012-12
date_type: published
publisher: IEEE
pagerange: 4235 -4240
event_title: Decision and Control (CDC), 2012 IEEE 51st Annual Conference on
id_number: 10.1109/CDC.2012.6426761
refereed: TRUE
isbn: 978-1-4673-2064-1
book_title: Proceedings of the IEEE 51st Annual Conference on Decision and Control (CDC), 2012
official_url: http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=6426761&isnumber=6425800
citation:   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)