F. Baccelli, G. Cohen, G. J. Olsder, and J. Quadrat, Synchronization and Linearity . An Algebra for Discrete Event Systems, 1992.

J. Berstel and C. Reutenauer, Rational Series and their Languages, 1988.
DOI : 10.1007/978-3-642-73235-5
URL : https://hal.archives-ouvertes.fr/hal-00619791

T. S. Blyth and M. F. Janowitz, Residuation theory, 1972.

D. D. Souza and P. S. Thiagarajan, Product Interval Automata, Sadhana, Academy Proceedings in Engineering Sciences, pp.181-208, 2002.

S. Gaubert, Performance evaluation of (max,+) automata, IEEE Transactions on Automatic Control, vol.40, issue.12, pp.2014-2025, 1995.
DOI : 10.1109/9.478227

S. Gaubert and J. Mairesse, Modeling and analysis of timed Petri nets using heaps of pieces, IEEE Transactions on Automatic Control, vol.44, issue.4, pp.683-698, 1999.
DOI : 10.1109/9.754807
URL : https://hal.archives-ouvertes.fr/hal-00165813

I. Kliman, S. Lombardy, J. Mairesse, and C. Prieur, Deciding unambiguity and sequentiality from a finitely ambiguous max-plus automaton, Theoretical Computer Science, vol.327, issue.3, pp.349-373, 2004.
DOI : 10.1016/j.tcs.2004.02.049

J. Komenda, S. Lahaye, and J. Boimond, Supervisory Control of (max,+) Automata: A Behavioral Approach, Discrete Event Dynamic Systems, vol.77, issue.11, pp.525-549, 2009.
DOI : 10.1007/s10626-009-0083-6
URL : https://hal.archives-ouvertes.fr/hal-00858689

D. Krob, Some consequences of a Fatou property of the tropical semiring, Journal of Pure and Applied Algebra, vol.93, issue.3, pp.231-249, 1994.
DOI : 10.1016/0022-4049(94)90090-6
URL : https://hal.archives-ouvertes.fr/hal-00017321

M. Lhommeau, L. Hardouin, B. Cottenceau, and L. Jaulin, Interval analysis and dioid: application to robust controller design for timed event graphs, Automatica, vol.40, issue.11, pp.1923-1930, 2004.
DOI : 10.1016/j.automatica.2004.05.013
URL : https://hal.archives-ouvertes.fr/hal-00518769

S. Lombardy and J. Mairesse, Series which are both max-plus and min-plus rational are unambiguous, Theoretical Informatics and Applications 40, pp.1-14, 2006.
DOI : 10.1051/ita:2005042
URL : https://hal.archives-ouvertes.fr/hal-00017220

P. J. Ramadge and W. M. Wonham, The control of discrete event systems, Proc. IEEE, pp.81-98, 1989.
DOI : 10.1109/5.21072

J. Sakarovitch, Elements of Automata, 2009.

M. P. Schützenberger, On the definition of a family of automata, Information and Control, vol.4, issue.2-3, pp.245-270, 1961.
DOI : 10.1016/S0019-9958(61)80020-X