eprintid: 457
rev_number: 14
eprint_status: archive
userid: 7
dir: disk0/00/00/04/57
datestamp: 2011-07-27 09:08:06
lastmod: 2014-07-17 12:38:20
status_changed: 2011-07-27 09:08:06
type: article
metadata_visibility: show
item_issues_count: 0
creators_name: Heemels, W.P.M.H.
creators_name: De Schutter, Bart
creators_name: Bemporad, Alberto
creators_id: 
creators_id: 
creators_id: alberto.bemporad@imtlucca.it
title: Equivalence of hybrid dynamical models
ispublished: pub
subjects: QA75
subjects: TJ
divisions: CSA
full_text_status: none
keywords: Hybrid systems; Piecewise affine systems; Equivalent models
abstract: This paper establishes equivalences among five classes of hybrid systems: mixed logical dynamical (MLD) systems, linear complementarity (LC) systems, extended linear complementarity (ELC) systems, piecewise affine (PWA) systems, and max-min-plus-scaling (MMPS) systems. Some of the equivalences are established under (rather mild) additional assumptions. These results are of paramount importance for transferring theoretical properties and tools from one class to another, with the consequence that for the study of a particular hybrid system that belongs to any of these classes, one can choose the most convenient hybrid modeling framework.
date: 2001-07
date_type: published
publication: Automatica
volume: 37
number: 7
publisher: Elsevier
pagerange: 1085-1091
id_number: 10.1016/S0005-1098(01)00059-0
refereed: TRUE
issn: 0005-1098
official_url: http://www.sciencedirect.com/science/article/pii/S0005109801000590
citation:   Heemels, W.P.M.H. and De Schutter, Bart and Bemporad, Alberto  Equivalence of hybrid dynamical models.  Automatica, 37 (7).  pp. 1085-1091.  ISSN 0005-1098      (2001)