relation: http://eprints.imtlucca.it/611/ title: Observability and controllability of piecewise affine and hybrid systems creator: Bemporad, Alberto creator: Ferrari-Trecate, Giancarlo creator: Morari, Manfred subject: QA Mathematics subject: QA75 Electronic computers. Computer science subject: TJ Mechanical engineering and machinery description: 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 publisher: IEEE date: 1999 type: Book Section type: PeerReviewed identifier: 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) relation: http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=827980&isnumber=17968 relation: 10.1109/CDC.1999.827980