| Title:
|
On timed event graph stabilization by output feedback in dioid (English) |
| Author:
|
Cottenceau, B. |
| Author:
|
Lhommeau, M. |
| Author:
|
Hardouin, L. |
| Author:
|
Boimond, J.-L. |
| Language:
|
English |
| Journal:
|
Kybernetika |
| ISSN:
|
0023-5954 |
| Volume:
|
39 |
| Issue:
|
2 |
| Year:
|
2003 |
| Pages:
|
[165]-176 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
This paper deals with output feedback synthesis for Timed Event Graphs (TEG) in dioid algebra. The feedback synthesis is done in order to (1) stabilize a TEG without decreasing its original production rate, (2) optimize the initial marking of the feedback, (3) delay as much as possible the tokens input. (English) |
| Keyword:
|
Time Event Graphs |
| Keyword:
|
max-plusalgebra |
| Keyword:
|
feedback synthesis |
| MSC:
|
06F05 |
| MSC:
|
93B25 |
| MSC:
|
93B52 |
| MSC:
|
93C65 |
| MSC:
|
93D15 |
| idZBL:
|
Zbl 1249.93041 |
| idMR:
|
MR1996555 |
| . |
| Date available:
|
2009-09-24T19:52:30Z |
| Last updated:
|
2015-03-23 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/135519 |
| . |
| Reference:
|
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| Reference:
|
[2] Blyth T. S., Janowitz M. F.: Residuation Theory.Pergamon Press, Oxford 1972 Zbl 0301.06001, MR 0396359 |
| Reference:
|
[3] Cohen G., Moller P., Quadrat J. P., Viot M.: Linear system theory for discrete-event systems.In: Proc. 23rd IEEE Conference on Decision and Control, Las Vegas 1984 |
| Reference:
|
[4] Cohen G., Moller P., Quadrat J. P., Viot M.: Algebraic tools for the performance evaluation of discrete event systems.IEEE Proceedings: Special Issue on Discrete Event Systems 77 (1989), 1, 39–58 |
| Reference:
|
[5] Commault C.: Feedback stabilization of some event graph models.IEEE Trans. Automat. Control 43 (1998), 10, 1419–1423 Zbl 0956.93041, MR 1646723, 10.1109/9.720498 |
| Reference:
|
[6] Cottenceau B.: Contribution à la commande de systèmes à événements discrets: synthèse de correcteurs pour les graphes d’événements temporisés dans les dioïdes.Ph.D. Thesis (in French). ISTIA, Université d’Angers 1999 |
| Reference:
|
[7] Cottenceau B., Hardouin L., Boimond J. L., Ferrier J. L.: Synthesis of greatest linear feedback for timed event graphs in dioid.IEEE Trans. Automat. Control 44 (1999), 6, 1258–1262 Zbl 0962.93031, MR 1689147, 10.1109/9.769386 |
| Reference:
|
[8] Gaubert S.: Théorie des systèmes linéaires dans les dioïdes.Ph.D. Thesis (in French). Ecole des Mines de Paris, Paris 1992 |
| Reference:
|
[9] Gaubert S.: Resource optimization and $(\min ,+)$ spectral theory.IEEE Trans. Automat. Control 40 (1992), 11, 1931–1934 MR 1358012, 10.1109/9.471219 |
| Reference:
|
[10] series, Software tools for manipulating periodic: http:--www.istia.univ-angers.fr/$\tilde{}$hardouin/outils.html |
| Reference:
|
[11] Plus, Max: Second order theory of min-linear systems and its application to discrete event systems.In: Proc. 30th IEEE Conference on Decision and Control, Brighton 1991 |
| . |
