eprintid: 1211
rev_number: 12
eprint_status: archive
userid: 37
dir: disk0/00/00/12/11
datestamp: 2012-03-05 10:58:40
lastmod: 2013-02-12 12:12:49
status_changed: 2012-03-05 10:58:40
type: book_section
metadata_visibility: show
creators_name: Trimboli, Sergio
creators_name: Rubagotti, Matteo
creators_name: Bemporad, Alberto
creators_id: 
creators_id: 
creators_id: alberto.bemporad@imtlucca.it
title: Stability and invariance analysis of uncertain PWA systems based on linear programming
ispublished: pub
subjects: QA75
subjects: TJ
divisions: CSA
full_text_status: none
keywords: Asymptotic stability, Control systems, Economic indicators, Lyapunov methods, Numerical stability, Stability analysis, Xenon 
note: This work was partially supported by the European Commission under project FP7-INFSO-ICT-248858 “MOBY-DIC – Model-based synthesis of digital electronic circuits for embedded control”.
abstract: This paper analyzes stability of discrete-time uncertain piecewise-affine systems whose dynamics are defined on a bounded set χ; that is not necessarily invariant. The objective is to prove the uniform asymptotic stability of the origin and to find an invariant domain of attraction. This goal is attained by defining a suitable extended dynamics (which is partially fictitious), and by using a numerical procedure based on linear programming. The theoretical results are based on the definition of a piecewise-affine, possibly discontinuous, Lyapunov function.
date: 2011-12
date_type: published
publisher: IEEE
pagerange: 7398 -7403
event_title: Decision and Control and European Control Conference (CDC-ECC), 2011 50th IEEE Conference on
id_number: 10.1109/CDC.2011.6160843
refereed: TRUE
isbn: 978-1-61284-800-6
book_title: Proceedings of the 50th IEEE Conference on Decision and Control and European Control Conference (CDC-ECC)
official_url: http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=6160843&isnumber=6159299
citation:   Trimboli, Sergio and Rubagotti, Matteo and Bemporad, Alberto  Stability and invariance analysis of uncertain PWA systems based on linear programming.   In:  Proceedings of the 50th IEEE Conference on Decision and Control and European Control Conference (CDC-ECC).   IEEE, 7398 -7403.  ISBN 978-1-61284-800-6      (2011)