| Title:
|
Soluble approximation of linear systems in max-plus algebra (English) |
| Author:
|
Cechlárová, Katarína |
| Author:
|
Cuninghame-Green, Ray A. |
| Language:
|
English |
| Journal:
|
Kybernetika |
| ISSN:
|
0023-5954 |
| Volume:
|
39 |
| Issue:
|
2 |
| Year:
|
2003 |
| Pages:
|
[137]-141 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
We propose an efficient method for finding a Chebyshev-best soluble approximation to an insoluble system of linear equations over max-plus algebra. (English) |
| Keyword:
|
discrete-event dynamic systems |
| Keyword:
|
max-plus algebra |
| Keyword:
|
systems of linear equations |
| Keyword:
|
approximation |
| MSC:
|
06F05 |
| MSC:
|
15A06 |
| MSC:
|
15A33 |
| MSC:
|
15A80 |
| MSC:
|
37M99 |
| MSC:
|
93B25 |
| MSC:
|
93C65 |
| idZBL:
|
Zbl 1249.93040 |
| idMR:
|
MR1996552 |
| . |
| Date available:
|
2009-09-24T19:52:06Z |
| Last updated:
|
2015-03-23 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/135516 |
| . |
| Reference:
|
[1] Baccelli F. L., Cohen G., Olsder G. J., Quadrat J. P.: Synchronization and Linearity, An Algebra for Discrete Event Systems.Wiley, Chichester 1992 Zbl 0824.93003, MR 1204266 |
| Reference:
|
[2] Cechlárová K.: A note on unsolvable systems of max-min (fuzzy) equations.Linear Algebra Appl. 310 (2000), 123–128 Zbl 0971.15002, MR 1753171 |
| Reference:
|
[3] Cechlárová K., Diko P.: Resolving infeasibility in extremal algebras.Linear Algebra Appl. 290 (1999), 267–273 Zbl 0932.15009, MR 1672997 |
| Reference:
|
[4] A.Cuninghame-Green R.: Minimax Algebra (Lecture Notes in Economics and Mathematical Systems 166).Springer, Berlin 1979 MR 0580321 |
| Reference:
|
[5] Cuninghame-Green R. A., Cechlárová K.: Residuation in fuzzy algebra and some applications.Fuzzy Sets and Systems 71 (1995), 227–239 Zbl 0845.04007, MR 1329610 |
| Reference:
|
[6] Schutter B. De: Max-Algebraic System Theory for Discrete Event Systems.Thesis. Katholieke Universiteit Leuven, Belgium 1996 |
| . |
