Some introductive texts on maxplus algebra and Discrete Event Dynamic Systems
 Methods and Applications of (max,+) Linear Algebra, S. Gaubert and M. Plus. Appears in
the Proceedings of
the 14th Annual Symposium on Theoretical Aspects of Computer Science Lubeck, Germany February 27  March 1, 1997 (STACS'97), pp 261282,
LNCS 1200, Springer, 1997,
doi:10.1007/BFb0023465
A survey paper with emphasis on linear algebra.
 Two lectures on maxplus algebra, S. Gaubert,
Proceedings of the 26th Spring School of Theoretical Computer Science,
Algèbres MaxPlus et applications en informatique et automatique", Ile de Noirmoutier, 47 mai, pages 83147, 1998. Publisher INRIA,
Le Chesnay, France. These lectures notes contained an original chapter
(Chapter 2) written specially for the school,
dealing with ``Exotic Semirings: Examples and General Results''.
 Maxplus algebra and System Theory: where we are and where to go now.
G. Cohen, S. Gaubert and J.P. Quadrat,
Annual Reviews in Control, vol. 23, pp 207219, 1999.
10.1016/S13675788(99)900913

M. Akian, R. Bapat, and S. Gaubert.
Maxplus algebras.
In L. Hogben, editor, Handbook of Linear Algebra (Discrete
Mathematics and Its Applications), volume 39. Chapman & Hall/CRC, 2006. Chapter 25.
 G. Cohen, S. Gaubert, and J.P. Quadrat
L'algèbre des sandwichs, Pour la Science, pp. 5663, Février 2005.

Some Lecture Notes
(Postscript, 120p, in French) on maxplus algebras an discrete event systems,
are available.
 MaxPlus Algebra and Applications to System Theory and Optimal
Control.
MaxPlus Working Group, presented by J.P. Quadrat.
Proceedings of the ICM
Zurich, August 1994.
Abstract.html,
Preprint.ps,
Preprint.ps.gz,
Preprint.pdf,
A shorter survey paper, covering also briefly Bellman processes.

The maxplus approach to Discrete Event Systems, in
a few words (in French)
 Slides  Maxplus algebra: a guided tour, talk at the SIAM Conference on Control and its Applications 09 , S. Gaubert.
 Slides of a talk on maxplus or tropical polyhedra (Montreal Workshop on Tropical Mathematics, July 2009), S. Gaubert

See also the maxplus.org site.
S. Gaubert Updated Jul. 2009