@incollection{eprints583, title = {On the equivalence of classes of hybrid dynamical models}, year = {2001}, volume = {1}, pages = {364--369}, address = {Orlando, Florida USA, December 2001}, booktitle = {Proc. 40th IEEE Conf. on Decision and Control}, publisher = {IEEE}, journal = {Proc. 40th IEEE Conf. on Decision and Control}, author = {W.P.M.H. Heemels and Bart De Schutter and Alberto Bemporad}, url = {http://eprints.imtlucca.it/583/}, abstract = {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}, keywords = {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} }