eprintid: 611 rev_number: 10 eprint_status: archive userid: 7 dir: disk0/00/00/06/11 datestamp: 2011-07-27 09:18:05 lastmod: 2014-07-16 14:22:27 status_changed: 2011-07-27 09:18:05 type: book_section metadata_visibility: show item_issues_count: 0 creators_name: Bemporad, Alberto creators_name: Ferrari-Trecate, Giancarlo creators_name: Morari, Manfred creators_id: alberto.bemporad@imtlucca.it creators_id: creators_id: title: Observability and controllability of piecewise affine and hybrid systems ispublished: pub subjects: QA subjects: QA75 subjects: TJ divisions: CSA full_text_status: none keywords: hybrid systems; mixed-integer linear programming; piecewise affine systems; controllability; integer programming; linear programming; linear systems; observability abstract: We prove, in a constructive way, the equivalence between hybrid and piecewise affine systems. By focusing our investigation on the latter class, we show through counter-examples that observability and controllability properties cannot be easily deduced from those of the component linear subsystems. Instead, we propose practical numerical tests based on mixed-integer linear programming date: 1999 date_type: published publication: Proc. 38th IEEE Conf. on Decision and Control volume: 4 publisher: IEEE place_of_pub: Phoenix, Arizona pagerange: 3966-3971 event_dates: Phoenix, AZ id_number: 10.1109/CDC.1999.827980 refereed: TRUE isbn: 0-7803-5250-5 book_title: Decision and Control Conference official_url: http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=827980&isnumber=17968 citation: Bemporad, Alberto and Ferrari-Trecate, Giancarlo and Morari, Manfred Observability and controllability of piecewise affine and hybrid systems. In: Decision and Control Conference. IEEE, Phoenix, Arizona, pp. 3966-3971. ISBN 0-7803-5250-5 (1999)