eprintid: 583 rev_number: 15 eprint_status: archive userid: 7 dir: disk0/00/00/05/83 datestamp: 2011-07-27 09:09:04 lastmod: 2014-07-17 12:48:28 status_changed: 2011-07-27 09:09:04 type: book_section 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: On the equivalence of classes of hybrid dynamical models ispublished: pub subjects: QA75 subjects: TJ divisions: CSA full_text_status: none keywords: hybrid dynamical models; linear complementarity systems; max-min-plus-scaling systems; mixed logical dynamical systems; piecewise affine systems; continuous time systems; discrete systems; linear systems abstract: We establish equivalences among five classes of hybrid systems, that we have encountered in previous research: mixed logical dynamical systems, linear complementarity systems, extended linear complementarity systems, piecewise affine systems, and max-min-plus-scaling systems. These results are of paramount importance for transferring properties and tools from one class to another date: 2001 date_type: published publication: Proc. 40th IEEE Conf. on Decision and Control volume: 1 publisher: IEEE place_of_pub: Orlando, Florida USA, December 2001 pagerange: 364-369 event_dates: Orlando, Florida id_number: 10.1109/.2001.980127 refereed: TRUE isbn: 0-7803-7061-9 book_title: Proc. 40th IEEE Conf. on Decision and Control official_url: http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=980127&isnumber=21114 citation: Heemels, W.P.M.H. and De Schutter, Bart and Bemporad, Alberto On the equivalence of classes of hybrid dynamical models. In: Proc. 40th IEEE Conf. on Decision and Control. IEEE, Orlando, Florida USA, December 2001, pp. 364-369. ISBN 0-7803-7061-9 (2001)