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Equivalence of hybrid dynamical models

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)

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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.

Item Type: Article
Identification Number: 10.1016/S0005-1098(01)00059-0
Uncontrolled Keywords: Hybrid systems; Piecewise affine systems; Equivalent models
Subjects: Q Science > QA Mathematics > QA75 Electronic computers. Computer science
T Technology > TJ Mechanical engineering and machinery
Research Area: Computer Science and Applications
Depositing User: Professor Alberto Bemporad
Date Deposited: 27 Jul 2011 09:08
Last Modified: 17 Jul 2014 12:38
URI: http://eprints.imtlucca.it/id/eprint/457

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