A linear system theory for systems subject to synchronization and saturation constraints (1991)
| Venue: | Proceedings of the first European Control Conference |
| Citations: | 7 - 1 self |
BibTeX
@INPROCEEDINGS{Plus91alinear,
author = {Max Plus},
title = {A linear system theory for systems subject to synchronization and saturation constraints},
booktitle = {Proceedings of the first European Control Conference},
year = {1991}
}
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Abstract
Abstract A linear system theory is developped for a class of continuous and discrete Systems subject to Synchronization and Saturations that we call S 3. This class provides a generalization of a particular class of timed discrete event systems which can be modeled as event graphs. The development is based on a linear modeling of S 3 in the min-plus algebra. This allows us to extend elementary notions and a number of results of conventional linear systems to S 3. In particular, notions of causality, time-invariance, impulse response, convolution, transfer function and rationality are considered.
