Some introductive texts on max-plus 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 261-282, LNCS 1200, Springer, 1997, doi:10.1007/BFb0023465 A survey paper with emphasis on linear algebra.

• Two lectures on max-plus algebra, S. Gaubert, Proceedings of the 26th Spring School of Theoretical Computer Science, Algèbres Max-Plus et applications en informatique et automatique", Ile de Noirmoutier, 4-7 mai, pages 83--147, 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''.

• Max-plus 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 207--219, 1999. 10.1016/S1367-5788(99)90091-3

• M. Akian, R. Bapat, and S. Gaubert. Max-plus 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. 56--63, Février 2005.

• Some Lecture Notes (Postscript, 120p, in French) on max-plus algebras an discrete event systems, are available.

• Max-Plus Algebra and Applications to System Theory and Optimal Control. Max-Plus 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 max-plus approach to Discrete Event Systems, in a few words (in French)

• Slides - Max-plus algebra: a guided tour, talk at the SIAM Conference on Control and its Applications 09 , S. Gaubert.
• Slides of a talk on max-plus or tropical polyhedra (Montreal Workshop on Tropical Mathematics, July 2009), S. Gaubert
• Slides of the talk on "Tropical modules, zero-sum games and non-archimedean optimization" (Noncommutative geometry, NCG 2017: number theory, A celebration of Alain Connes' 70th birthday, Shanghai, April 2017), S. Gaubert

• See also the maxplus.org site.