Books and Courses
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T. S. BLYTH :
Lattices and Ordered Algebraic Structures, Springer, 2005.
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F.
BACCELLI, G. COHEN, G. J. OLSDER, J.-P. QUADRAT :
Synchronisation and
linearity Wiley, 1992 (pdf 4.35 MB).
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G. COHEN
: Analysis y control de sistemas de eventos discretos: de redes de Petri
temporizadas al algebra . Cuadernos No. 29, Instituto de Matematica
"Beppo Levi" Universidad Nacional de Rosario, Argentina, 2001 (pdf 2 .1
MB)
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R. A. CUNINGHAME-GREEN : Minimax Algebra, Lecture
Notes 166 in Economics and Mathematical System, Springer Verlag 1979.
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S. GAUBERT
Max-Plus Algebras and Discrete Event Systems . Lecture common
to the Option Automatique of Ecole des Mines, and to the DEA Automatique
et Traitement du Signal of Orsay , in French, (ps 1.1 MB).
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J. S. GOLAN : Semirings and their Applications
Kluwer, Dordrecht, 1999.
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M. GONDRAN, M.MINOUX : Graphes Dioides et Semi-anneaux
, Nouveaux modèles et Algorithmes, Eyrolles 2002.
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J. GUNAWERDENA (Editor) : Idempotency,
Cambridge University Press, 2001.
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B. HEIDERGOTT, G. J. OLSDER, J. van der WOUDE : Max Plus at Work,
Princeton University Press, 2006.
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B. HEIDERGOTT : Max-Plus Linear Stochastic Systems and Perturbation Analysis,
Springer Verlag, 2006.
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V. N. KOLOKOLTSOV, V. P. MASLOV : Idempotent
Analysis and its Applications to Optimal Control (in Russian) , Nauka
1994.
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V. N. KOLOKOLTSOV, V. P. MASLOV : Idempotent
Analysis and its Applications, Kluwer 1997.
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I. ITENBERG, G. MIKHALKIN , E. SHUSTIN: Tropical Algebraic Geometry, Birkhauser 2007.
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G. L. LITVINOV, V. P. MASLOV (Editors): Idempotent
Mathematics and Mathematical Physics, Contemporary Mathematics 377,
AMS 2005.
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G. L. LITVINOV, V. P. MASLOV and S. N. SERGEEV (Editors): Idempotent
and Tropical Mathematics and Problems of Mathematical Physics,
Proceedings ArXiv:0710.0377,
Arxiv:0709.4119 , 2007.
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V. P. MASLOV, S. N. SAMBORSKII : Idempotent
Analysis, American Mathematical Society 1992.
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I. NECOARA : Model Predictive Control for Piecewise Affine and Max-Plus linear Systems, Delft University, 2006
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J.P. QUADRAT : Semi-anillos en Matematica Aplicada. Cuaderno n° 28
, Instituto de Matematica "Beppo Levi" Universidad Nacional de Rosario
, Argentina, 1999 (pdf 681 KB).
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J.-P. QUADRAT et P. GIRARDEAU :
Note de cours de commande optimale
stochastique librecours.org , automatique, 2007.
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K. ZIMMERMANN : Extremali Algebra , Vydani Publibace
1976.
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U. ZIMMERMANN : Linear Combinatorial Optimization
in Ordered Algebraic Structures, North Holland, 1981.
15 January 2008.