Soluble approximation of linear systems in max-plus algebra

Katarína Cechlárová; Ray A. Cuninghame-Green

Kybernetika (2003)

  • Volume: 39, Issue: 2, page [137]-141
  • ISSN: 0023-5954

Abstract

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We propose an efficient method for finding a Chebyshev-best soluble approximation to an insoluble system of linear equations over max-plus algebra.

How to cite

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Cechlárová, Katarína, and Cuninghame-Green, Ray A.. "Soluble approximation of linear systems in max-plus algebra." Kybernetika 39.2 (2003): [137]-141. <http://eudml.org/doc/33629>.

@article{Cechlárová2003,
abstract = {We propose an efficient method for finding a Chebyshev-best soluble approximation to an insoluble system of linear equations over max-plus algebra.},
author = {Cechlárová, Katarína, Cuninghame-Green, Ray A.},
journal = {Kybernetika},
keywords = {discrete-event dynamic systems; max-plus algebra; systems of linear equations; approximation; discrete-event dynamic system; max-plus algebra; system of linear equations; approximation},
language = {eng},
number = {2},
pages = {[137]-141},
publisher = {Institute of Information Theory and Automation AS CR},
title = {Soluble approximation of linear systems in max-plus algebra},
url = {http://eudml.org/doc/33629},
volume = {39},
year = {2003},
}

TY - JOUR
AU - Cechlárová, Katarína
AU - Cuninghame-Green, Ray A.
TI - Soluble approximation of linear systems in max-plus algebra
JO - Kybernetika
PY - 2003
PB - Institute of Information Theory and Automation AS CR
VL - 39
IS - 2
SP - [137]
EP - 141
AB - We propose an efficient method for finding a Chebyshev-best soluble approximation to an insoluble system of linear equations over max-plus algebra.
LA - eng
KW - discrete-event dynamic systems; max-plus algebra; systems of linear equations; approximation; discrete-event dynamic system; max-plus algebra; system of linear equations; approximation
UR - http://eudml.org/doc/33629
ER -

References

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  1. Baccelli F. L., Cohen G., Olsder G. J., Quadrat J. P., Synchronization and Linearity, An Algebra for Discrete Event Systems, Wiley, Chichester 1992 Zbl0824.93003MR1204266
  2. Cechlárová K., A note on unsolvable systems of max-min (fuzzy) equations, Linear Algebra Appl. 310 (2000), 123–128 Zbl0971.15002MR1753171
  3. Cechlárová K., Diko P., Resolving infeasibility in extremal algebras, Linear Algebra Appl. 290 (1999), 267–273 (1999) Zbl0932.15009MR1672997
  4. A.Cuninghame-Green R., Minimax Algebra (Lecture Notes in Economics and Mathematical Systems 166), Springer, Berlin 1979 MR0580321
  5. Cuninghame-Green R. A., Cechlárová K., Residuation in fuzzy algebra and some applications, Fuzzy Sets and Systems 71 (1995), 227–239 (1995) Zbl0845.04007MR1329610
  6. Schutter B. De, Max-Algebraic System Theory for Discrete Event Systems, Thesis. Katholieke Universiteit Leuven, Belgium 1996 

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