relation: http://eprints.imtlucca.it/446/ title: Observability and controllability of piecewise affine and hybrid systems creator: Bemporad, Alberto creator: Ferrari-Trecate, Giancarlo creator: Morari, Manfred subject: QA75 Electronic computers. Computer science subject: TJ Mechanical engineering and machinery description: We prove, in a constructive way, the equivalence between piecewise affine systems and a broad class of hybrid systems described by interacting linear dynamics, automata, and propositional logic. By focusing our investigation on the former class, we show through counterexamples 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: 2000-10 type: Article type: PeerReviewed identifier: Bemporad, Alberto and Ferrari-Trecate, Giancarlo and Morari, Manfred Observability and controllability of piecewise affine and hybrid systems. IEEE Transactions on Automatic Control, 45 (10). pp. 1864-1876. ISSN 0018-9286 (2000) relation: http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=880987&isnumber=19074 relation: 10.1109/TAC.2000.880987