A functorial approach to the behaviour of multidimensional control systems

Jean-François Pommaret; Alban Quadrat

International Journal of Applied Mathematics and Computer Science (2003)

  • Volume: 13, Issue: 1, page 7-13
  • ISSN: 1641-876X

Abstract

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We show how to use the extension and torsion functors in order to compute the torsion submodule of a differential module associated with a multidimensional control system. In particular, we show that the concept of the weak primeness of matrices corresponds to the torsion-freeness of a certain module.

How to cite

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Pommaret, Jean-François, and Quadrat, Alban. "A functorial approach to the behaviour of multidimensional control systems." International Journal of Applied Mathematics and Computer Science 13.1 (2003): 7-13. <http://eudml.org/doc/207626>.

@article{Pommaret2003,
abstract = {We show how to use the extension and torsion functors in order to compute the torsion submodule of a differential module associated with a multidimensional control system. In particular, we show that the concept of the weak primeness of matrices corresponds to the torsion-freeness of a certain module.},
author = {Pommaret, Jean-François, Quadrat, Alban},
journal = {International Journal of Applied Mathematics and Computer Science},
keywords = {weak primeness; algebraic analysis; multidimensional systems; rings of differential operators; torsion and extension functors; controllability; behavioural framework; linear multidimensional system; implicit form; torsion submodule; weak primeness property},
language = {eng},
number = {1},
pages = {7-13},
title = {A functorial approach to the behaviour of multidimensional control systems},
url = {http://eudml.org/doc/207626},
volume = {13},
year = {2003},
}

TY - JOUR
AU - Pommaret, Jean-François
AU - Quadrat, Alban
TI - A functorial approach to the behaviour of multidimensional control systems
JO - International Journal of Applied Mathematics and Computer Science
PY - 2003
VL - 13
IS - 1
SP - 7
EP - 13
AB - We show how to use the extension and torsion functors in order to compute the torsion submodule of a differential module associated with a multidimensional control system. In particular, we show that the concept of the weak primeness of matrices corresponds to the torsion-freeness of a certain module.
LA - eng
KW - weak primeness; algebraic analysis; multidimensional systems; rings of differential operators; torsion and extension functors; controllability; behavioural framework; linear multidimensional system; implicit form; torsion submodule; weak primeness property
UR - http://eudml.org/doc/207626
ER -

References

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