Weak and exact domination in distributed systems

Larbi Afifi; El Mostafa Magri; Abdelhaq El Jai

International Journal of Applied Mathematics and Computer Science (2010)

  • Volume: 20, Issue: 3, page 419-426
  • ISSN: 1641-876X

Abstract

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In this work, we introduce and examine the notion of domination for a class of linear distributed systems. This consists in studying the possibility to make a comparison between input or output operators. We give the main algebraic properties of such relations, as well as characterizations of exact and weak domination. We also study the case of actuators, and various situations are examined. Applications and illustrative examples are also given. By duality, we extend this study to observed systems. We obtain similar results and properties, and the case of sensors is equally examined.

How to cite

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Larbi Afifi, El Mostafa Magri, and Abdelhaq El Jai. "Weak and exact domination in distributed systems." International Journal of Applied Mathematics and Computer Science 20.3 (2010): 419-426. <http://eudml.org/doc/207997>.

@article{LarbiAfifi2010,
abstract = {In this work, we introduce and examine the notion of domination for a class of linear distributed systems. This consists in studying the possibility to make a comparison between input or output operators. We give the main algebraic properties of such relations, as well as characterizations of exact and weak domination. We also study the case of actuators, and various situations are examined. Applications and illustrative examples are also given. By duality, we extend this study to observed systems. We obtain similar results and properties, and the case of sensors is equally examined.},
author = {Larbi Afifi, El Mostafa Magri, Abdelhaq El Jai},
journal = {International Journal of Applied Mathematics and Computer Science},
keywords = {distributed systems; domination; actuators; sensors},
language = {eng},
number = {3},
pages = {419-426},
title = {Weak and exact domination in distributed systems},
url = {http://eudml.org/doc/207997},
volume = {20},
year = {2010},
}

TY - JOUR
AU - Larbi Afifi
AU - El Mostafa Magri
AU - Abdelhaq El Jai
TI - Weak and exact domination in distributed systems
JO - International Journal of Applied Mathematics and Computer Science
PY - 2010
VL - 20
IS - 3
SP - 419
EP - 426
AB - In this work, we introduce and examine the notion of domination for a class of linear distributed systems. This consists in studying the possibility to make a comparison between input or output operators. We give the main algebraic properties of such relations, as well as characterizations of exact and weak domination. We also study the case of actuators, and various situations are examined. Applications and illustrative examples are also given. By duality, we extend this study to observed systems. We obtain similar results and properties, and the case of sensors is equally examined.
LA - eng
KW - distributed systems; domination; actuators; sensors
UR - http://eudml.org/doc/207997
ER -

References

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