Reference
W. P. M. H. Heemels, B. De
Schutter, and A. Bemporad, "Equivalence of hybrid dynamical models,"
Automatica, vol. 37, no. 7, pp. 1085-1091, July 2001.
Abstract
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.
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BibTeX
@article{HeeDeS:00-07,
author = {Heemels, W. P. M. H. and De Schutter, Bart and Bemporad,
Alberto},
title = {Equivalence of Hybrid Dynamical Models},
journal = {Automatica},
volume = {37},
number = {7},
pages = {1085--1091},
month = jul,
year = {2001}
}