@incollection{eprints611,
           pages = {3966--3971},
       publisher = {IEEE},
           title = {Observability and controllability of piecewise affine and hybrid systems},
          author = {Alberto Bemporad and Giancarlo Ferrari-Trecate and Manfred Morari},
            year = {1999},
         journal = {Proc. 38th IEEE Conf. on Decision and Control},
       booktitle = {Decision and Control Conference},
         address = {Phoenix, Arizona},
          volume = {4},
             url = {http://eprints.imtlucca.it/611/},
        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},
        keywords = {hybrid systems; mixed-integer linear programming; piecewise affine systems; controllability; integer programming; linear programming; linear systems; observability}
}