Soluble approximation of linear systems in max-plus algebra
Kybernetika, Tome 39 (2003) no. 2, pp. 137-141 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

Voir la notice de l'article

We propose an efficient method for finding a Chebyshev-best soluble approximation to an insoluble system of linear equations over max-plus algebra.
We propose an efficient method for finding a Chebyshev-best soluble approximation to an insoluble system of linear equations over max-plus algebra.
Classification : 06F05, 15A06, 15A33, 15A80, 37M99, 93B25, 93C65
Keywords: discrete-event dynamic systems; max-plus algebra; systems of linear equations; approximation
@article{KYB_2003_39_2_a3,
     author = {Cechl\'arov\'a, Katar{\'\i}na and Cuninghame-Green, Ray A.},
     title = {Soluble approximation of linear systems in max-plus algebra},
     journal = {Kybernetika},
     pages = {137--141},
     year = {2003},
     volume = {39},
     number = {2},
     mrnumber = {1996552},
     zbl = {1249.93040},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/KYB_2003_39_2_a3/}
}
TY  - JOUR
AU  - Cechlárová, Katarína
AU  - Cuninghame-Green, Ray A.
TI  - Soluble approximation of linear systems in max-plus algebra
JO  - Kybernetika
PY  - 2003
SP  - 137
EP  - 141
VL  - 39
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/KYB_2003_39_2_a3/
LA  - en
ID  - KYB_2003_39_2_a3
ER  - 
%0 Journal Article
%A Cechlárová, Katarína
%A Cuninghame-Green, Ray A.
%T Soluble approximation of linear systems in max-plus algebra
%J Kybernetika
%D 2003
%P 137-141
%V 39
%N 2
%U http://geodesic.mathdoc.fr/item/KYB_2003_39_2_a3/
%G en
%F KYB_2003_39_2_a3
Cechlárová, Katarína; Cuninghame-Green, Ray A. Soluble approximation of linear systems in max-plus algebra. Kybernetika, Tome 39 (2003) no. 2, pp. 137-141. http://geodesic.mathdoc.fr/item/KYB_2003_39_2_a3/

[1] Baccelli F. L., Cohen G., Olsder G. J., Quadrat J. P.: Synchronization and Linearity, An Algebra for Discrete Event Systems. Wiley, Chichester 1992 | MR | Zbl

[2] Cechlárová K.: A note on unsolvable systems of max-min (fuzzy) equations. Linear Algebra Appl. 310 (2000), 123–128 | MR | Zbl

[3] Cechlárová K., Diko P.: Resolving infeasibility in extremal algebras. Linear Algebra Appl. 290 (1999), 267–273 | MR | Zbl

[4] A.Cuninghame-Green R.: Minimax Algebra (Lecture Notes in Economics and Mathematical Systems 166). Springer, Berlin 1979 | MR

[5] Cuninghame-Green R. A., Cechlárová K.: Residuation in fuzzy algebra and some applications. Fuzzy Sets and Systems 71 (1995), 227–239 | MR | Zbl

[6] Schutter B. De: Max-Algebraic System Theory for Discrete Event Systems. Thesis. Katholieke Universiteit Leuven, Belgium 1996