%0 Book Section
%A Heemels, W.P.M.H.
%A De Schutter, Bart
%A Bemporad, Alberto
%B Proc. 40th IEEE Conf. on Decision and Control
%C Orlando, Florida USA, December 2001
%D 2001
%F eprints:583
%I IEEE
%K 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
%P 364-369
%T On the equivalence of classes of hybrid dynamical models
%U http://eprints.imtlucca.it/583/
%V 1
%X 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