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On the equivalence of classes of hybrid dynamical models

Heemels, W.P.M.H. and De Schutter, Bart and Bemporad, Alberto On the equivalence of classes of hybrid dynamical models. In: Proc. 40th IEEE Conf. on Decision and Control. IEEE, Orlando, Florida USA, December 2001, pp. 364-369. ISBN 0-7803-7061-9 (2001)

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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

Item Type: Book Section
Identification Number: https://doi.org/10.1109/.2001.980127
Uncontrolled 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
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 09:09
Last Modified: 17 Jul 2014 12:48
URI: http://eprints.imtlucca.it/id/eprint/583

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