A linear system-theoretic view of discrete event processes and
its use for performance evaluation in manufacturing. IEEE
Transactions on Automatic Control, Vol. AC-30, No. 3,
pp. 210-220, 1985.
G. COHEN, P. MOLLER, J.-P. QUADRAT, M. VIOT.
Algebraic tools for the performance evaluation of discrete event
systems. IEEE Proceedings, Vol. 77, pp. 39-58, 1989.
Also In: Y.C. HO (Ed.), Discrete Event Dynamic Systems: Analyzing
Complexity and Performance in the Modern World, IEEE Press,
Piscataway, NJ, 1992. ISBN 0-87942-281-5.
MAX PLUS (nom collectif ).
L'algèbre (max, +) et sa symétrisation ou
l'algèbre des équilibres. Comptes Rendus de
l'Académie des Sciences, Paris, t. 311,
Série II, pp. 443-448, 1990.
F. BACCELLI, G. COHEN, B. GAUJAL.
Recursive equations and basic properties of timed Petri nets. Journal
of Discrete Event Dynamic Systems, Vol. 1, No. 4,
pp. 415-439, 1992.
J.-P. QUADRAT and MAX PLUS.
Min-Plus Linearity and Statistical Mechanics. Markov
Processes and Related Fields, Vol. 3, No. 4,
pp. 565-587, 1997.
G. COHEN, S. GAUBERT, J.P. QUADRAT.
Timed Event Graphs with Multipliers and Homogeneous Min-Plus
Systems. Technical note, IEEE Transactions on Automatic Control,
Vol. 43, No. 9, pp. 1296-1302 , Sept. 1998.
G. COHEN, S. GAUBERT, and J.-P. QUADRAT.
Max-plus algebra and system theory: where we are and where to go
now. Annual Reviews in Control (Elsevier--IFAC), Vol. 23, No.
1, pp. 207-219, 1999. (224 Ko)
G. COHEN, S. GAUBERT, J.P. QUADRAT.
Duality and separation theorems in idempotent semimodules. Linear
Algebra and Applications, Special Issue on the Tenth ILAS
Conference (Auburn, 2002), Edited by R.B. Bapat, R. Kaashoek, R.
Mathias, T.Y. Tam and F. Uhlig, Volume 379, pp. 395-422, March 2004.
G. COHEN, S. GAUBERT, J.P. QUADRAT.
L'algèbre des sandwhichs. Pour La Science, No.
328, février 2005.
Livres - Books
F. BACCELLI, G. COHEN, G.J. OLSDER, J.-P. QUADRAT.
Proceedings of 11th International Conference on Analysis and
Optimization of Systems - Discrete Event Systems. Lecture Notes in
Control and Information Sciences 199, Springer-Verlag, 1994.
MAX PLUS (nom collectif).
Max-Plus algebra and applications to system theory and optimal
control. Proceedings of the International Conference of
Mathematicians, Zurich, Août 1994, publié par
Birkaüser, pp. 1502-1511, 1995.
G. COHEN, S. GAUBERT, J.-P. QUADRAT.
Algebraic system analysis of timed Petri nets, pp. 145-170, In: Idempotency,
J. Gunawardena Ed., Collection of the Isaac Newton Institute, Cambridge
University Press, 1998. ISBN 0-521-55344-X.
MAX PLUS (nom collectif).
Max-Plus-Times Linear Systems. In: V.D. Blondel,
E.D. Sontag, M. Vidyasagar, J.C. Willems (Eds.), Open
Problems in Mathematical Systems and Control Theory, Communications
and Control Engineering series, Springer Verlag, London, 1999.
G. COHEN, S. GAUBERT, J.-P. QUADRAT.
Hahn-Banach separation theorem for max-plus semimodules. pp.
325-334 in: J.-L. Menaldi, E. Rofman, A. Sulem (Eds.), Optimal
Control and Partial Differential Equations, Proceedings of
Conference in honour of Professor Alain Bensoussan's 60th birthday,
Dec. 4-5 2000, Paris, published by IOS Press, Amsterdam, 2000.
G. COHEN.
Analysis y control de sistemas de eventos discretos: de redes
de Petri temporizadas al algebra. Cuadernos del Instituto de
Mathematica "Beppo Levi", No. 29, Universidad Nacional de Rosario,
Argentina, 2001. (2 120 Ko)
Conférences - Conferences
G. COHEN, D. DUBOIS, J.-P. QUADRAT, M. VIOT.
Analyse du comportement périodique de systèmes de
production par les théorie des dioïdes. Rapport de
recherche INRIA No. 191, février 1983 et Colloque Bilan
Productique ADI, Toulouse, 24-26 Novembre 1982.
G. COHEN, D. DUBOIS, J.-P. QUADRAT, M. VIOT.
A linear system theoretic view of discrete event systems. 22nd
Conference on Decision and Control, San Antonio, Texas,
Décembre~1983.
G. COHEN, P. MOLLER, J.-P. QUADRAT, M. VIOT.
Linear system theory for discrete event systems. 23rd
Conference on Decision and Control, Las Vegas, Nevada,
Décembre 1984.
G. COHEN, P. MOLLER, J.-P. QUADRAT, M. VIOT.
Dating and counting events in discrete-event systems. 25th
IEEE Conference on Decision and Control, Athènes,
Grèce,Décembre 1986.
G. COHEN, P.MOLLER, J.-P. QUADRAT, M. VIOT.
A 2-D discrete event linear system theory. Séminaire
CNRS/CNET/INRIA "Algèbres exotiques et systèmes à
événements discrets'', Issy-les-Moulineaux,
juin 1987.
G. COHEN, S. GAUBERT, R. NIKOUKHAH, J.-P. QUADRAT.
Convex analysis and spectral analysis of timed event graphs. 28th
IEEE Conference on Decision and Control, Tampa, Florida, 13-15
Dec. 1989.
G. COHEN.
Phénomènes de synchronisation et
linéarité, Journées Nationales du G.R.
Automatique, Strasbourg, France, Octobre 1990.
MAX PLUS (nom collectif).
Linear systems in (max, +) algebra. 29th IEEE Conference on
Decision and Control, Honolulu, Hawaii Décembre 1990.
MAX PLUS (nom collectif).
A linear system theory for systems subject to synchronization and
saturation constraints. 1rst European Control Conference,
Grenoble, France, July 2-5, 1991.
F. BACCELLI, G. COHEN, B. GAUJAL.
Evolution equations and properties of timed Petri nets. 30th
IEEE Conference on Decision and Control, Brighton,England,
December 1991.
MAX PLUS (nom collectif dont G. COHEN).
Second order theory of min-linear systems and its application to
discrete event systems. 30th IEEE Conference on Decision and
Control, Brighton, England, December 1991.
G. COHEN.
Two-Dimensional Domain Representation of Timed Event Graphs. Belgian-French-Netherlands'Summer
School on Discrete Event System, Spa, Belgium, June 7-11, 1993.
G. COHEN, S. GAUBERT, J.-P. QUADRAT.
From first to second-order theory of linear discrete event
systems. 12eme Congrés mondial de l'IFAC, Sydney,
Australie, 1993.
G. COHEN.
Modélisation et évaluation de performances des
systèmes synchronisés. Réunion annuelle du
G.R. Automatique-CNRS, Batz-sur-Mer, France,
30 sept.-1 oct. 1993.
G. COHEN.
Dioids and discrete event systems. 11th International
Conference on Analysis and Optimization of Systems, Proc. in LNCIS
199, G. Cohen and J.-P. Quadrat (Eds.), pp. 223-236,
Springer-Verlag, 15-17 June 1994.
G. COHEN, S. GAUBERT, J.-P. QUADRAT.
Asymptotic throughput of continuous timed Petri nets. 34th
IEEE Conference on Decision and Control, New-Orleans, U.S.A.,
December 1995 (invited paper).
G. COHEN, S. GAUBERT, J.-P. QUADRAT.
Kernels, images and projections in dioids. WODES'96. Edinburgh,
Scotland, UK, 19-21 August 1996.
S. GAUBERT and MAX PLUS.
Methods and Applications of (max,+) Linear Algebra. In: R.
Reischuk and M. Morvan, Eds. 14th Symp. on Theoretical Aspects of
Computer Science, Lübeck, Germany, 27 Feb.-1 Mar. 1997, Vol.
500 of Lect. Notes in Comp. Sc.. Springer-Verlag. Berlin. pp. 261-282.
G. COHEN et MAX PLUS.
Vous changez de système, changez d'algèbre !. Colloque
"Voir, Entendre, Raisonner, Calculer", Cité des Sciences et
de l'Industrie, La Villette, Paris, 10-13 juin 1997.
G. COHEN, S. GAUBERT, J.-P. QUADRAT.
Linear Projectors in the Max-Plus Algebra. 5th IEEE
Mediterranean Conference on Control and Systems, Paphos, Cyprus,
21-23 July 1997.
G. COHEN.
Residuation and Applications. 26 ème École de
Printemps d'Informatique Théorique "Algèbres Max-Plus et
Applications en Informatique et Automatique", Île de
Noirmoutier, France, 4-7 Mai 1998.
G. COHEN.
Input-Output System Representation. 26 ème
École de Printemps d'Informatique Théorique
"Algèbres Max-Plus et Applications en Informatique et
Automatique", Île de Noirmoutier, France,
4-7 Mai 1998.
J. COCHET-TERRASSON, G. COHEN, S. GAUBERT, M. Mc GETTRICK, and
J.-P. QUADRAT.
Numerical computation of spectral elements in max-plus algebra.
In Proceedings of the IFAC Conference on System Structure and
Control (SSC'98), Nantes, France, July 1998.
G. COHEN, S. GAUBERT, and J.-P. QUADRAT.
Max-plus algebra and system theory: where we are and where to go
now (invited plenary session). In Proceedings of the Conference on
System Structure and Control (SSC'98), Nantes, France, July 1998.
G. COHEN, S. GAUBERT, J.-P. QUADRAT.
Duality of Idempotent semimodules. Proceedings of the
Satellite Workshop on Max-Plus Algebras and Their Applications to
Discrete-event Systems, Theoretical Computer Science, and
Optimization,1st IFAC Symposium on System Structure and Control (IFAC
SSSC'01), Praha, 27-31 August 2001 (Elsevier).
G. COHEN, S. GAUBERT, J.-P. QUADRAT, I. SINGER.
Separation of Convex Sets in Max-Plus Semimodules. 10th ILAS Conference, Auburn,
Alabama, June 2002.
G. COHEN, S. GAUBERT, J.-P. QUADRAT, I. SINGER.
Max-Plus convex functions. Workshop
on "Idempotent Mathematics
and Mathematical Physics", The Erwin Schrödinger
International
Institute for Mathematical Physics, Vienne, Autriche, 3-10 Feb. 2003.
G. COHEN, S. GAUBERT, J.-P. QUADRAT.
Projective Max-Plus Semimodules. International Workshop on Max-algebra
(IWMA), Birmingham (UK), 30 June--3 July 2003.
(224 Ko)
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