relation: http://eprints.imtlucca.it/457/ title: Equivalence of hybrid dynamical models creator: Heemels, W.P.M.H. creator: De Schutter, Bart creator: Bemporad, Alberto subject: QA75 Electronic computers. Computer science subject: TJ Mechanical engineering and machinery description: This paper establishes equivalences among five classes of hybrid systems: mixed logical dynamical (MLD) systems, linear complementarity (LC) systems, extended linear complementarity (ELC) systems, piecewise affine (PWA) systems, and max-min-plus-scaling (MMPS) systems. Some of the equivalences are established under (rather mild) additional assumptions. These results are of paramount importance for transferring theoretical properties and tools from one class to another, with the consequence that for the study of a particular hybrid system that belongs to any of these classes, one can choose the most convenient hybrid modeling framework. publisher: Elsevier date: 2001-07 type: Article type: PeerReviewed identifier: Heemels, W.P.M.H. and De Schutter, Bart and Bemporad, Alberto Equivalence of hybrid dynamical models. Automatica, 37 (7). pp. 1085-1091. ISSN 0005-1098 (2001) relation: http://www.sciencedirect.com/science/article/pii/S0005109801000590 relation: 10.1016/S0005-1098(01)00059-0