On the equivalence of classes of hybrid dynamical models


Reference:
W.P.M.H. Heemels, B. De Schutter, and A. Bemporad, "On the equivalence of classes of hybrid dynamical models," Proceedings of the 40th IEEE Conference on Decision and Control, Orlando, Florida, pp. 364-369, Dec. 2001.

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.


Downloads:
 * Corresponding technical report: pdf file (150 KB)
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Bibtex entry:

@inproceedings{HeeDeS:00-10,
        author={W.P.M.H. Heemels and B. {De Schutter} and A. Bemporad},
        title={On the equivalence of classes of hybrid dynamical models},
        booktitle={Proceedings of the 40th IEEE Conference on Decision and Control},
        address={Orlando, Florida},
        pages={364--369},
        month=dec,
        year={2001}
        }



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