J. Andrews, A mathematical model for the continuous culture of microorganisms utilizing inhibitory substrates, Biotechnology and Bioengineering, vol.9, issue.6, pp.707-723, 1968.
DOI : 10.1002/bit.260100602

T. Bayen, P. Gajardo, and F. Mairet, Optimal Synthesis for the Minimum Time Control Problems of Fed-Batch Bioprocesses for Growth Functions with Two Maxima, Journal of Optimization Theory and Applications, vol.11, issue.11, pp.1-33, 2012.
DOI : 10.1007/s10957-012-0225-0
URL : https://hal.archives-ouvertes.fr/hal-01088417

B. Bonnard and I. Kupka, Théorie des singularités de lápplication entrée/sortie et optimalité des trajectoires singuliéres dans le problemé du temps minimal, Forum Mathematicum, vol.5, pp.111-159, 1993.

F. Ciappelloni, D. Mazouni, J. Harmand, and L. , On-line supervision and control of an aerobic SBR process, Water Science and Technology, vol.53, issue.1, pp.169-177, 2006.
DOI : 10.2166/wst.2006.019

G. D. 'ans, P. Kokotovic, and D. Gottlieb, Time optimal control for a model of bacterial growth, J. of Optimiz. Theory Appl, vol.7, pp.61-69, 1971.

A. Donoso-bravo, G. Ruiz-filippi, and R. Chamy, Anaerobic treatment of low-strength wastewater with a high fraction of particulate matter in an unconventional two-phase ASBRs system, Biochemical Engineering Journal, vol.43, issue.3, pp.43-297, 2009.
DOI : 10.1016/j.bej.2008.10.011

T. F. Edgar and L. Lapidus, The computation of optimal singular bang-bang control II. Nonlinear systems, AIChE Journal, vol.18, issue.4, pp.780-785, 1972.
DOI : 10.1002/aic.690180420

P. Gajardo, H. Ramírez, C. , and A. , Rapaport: Minimal time sequential Batch Reactors with Bounded and Impulsive Controls for one or more species, SIAM J. on Control and Optimization, issue.6, pp.47-2827, 2008.

P. Gajardo, H. Ramírez, C. , and J. C. , Rodríguez: On optimal strategies for feeding in minimal time a SBR with several species, Proceeding of the 20th Mediterranean Conference on Control and Automation, pp.378-385, 2012.

B. S. Goh, Necessary Conditions for Singular Extremals Involving Multiple Control Variables, SIAM Journal on Control, vol.4, issue.4, pp.716-731, 1966.
DOI : 10.1137/0304052

J. Hong, Optimal substrate feeding policy for a fed batch fermentation with substrate and product inhibition kinetics, Biotechnology and Bioengineering, vol.47, issue.9, pp.1421-1431, 1986.
DOI : 10.1002/bit.260280916

R. L. Irvine and L. H. Ketchum, Sequencing batch reactors for biological wastewater treatment, Critical Reviews in Environmental Control, vol.104, issue.4, pp.255-294, 1989.
DOI : 10.1002/ep.670050206

H. J. Kelley, R. E. Kopp, and H. G. Moyer, 3 Singular Extremals, pp.63-101, 1967.
DOI : 10.1016/S0076-5392(09)60039-4

A. J. Krener, The High Order Maximal Principle and Its Application to Singular Extremals, SIAM Journal on Control and Optimization, vol.15, issue.2, pp.256-293, 1977.
DOI : 10.1137/0315019

J. Monod, Recherches sur la croissance des cultures bactriennes, 1942.

J. Moreno, Optimal time control of bioreactors for the wastewater treatment, Optimal Control Applications and Methods, pp.145-164, 1999.

L. S. Pontryagin, V. G. Boltyanskii, R. V. Gamkrelidze, and E. F. Mishchenko, The mathematical theory of optimal processes, Translated from the Russian by K. N. Trirogoff, 1962.

A. Rapaport and D. Dochain, Minimal Time Control of Fed-Batch Processes With Growth Functions Having Several Maxima, IEEE Transactions on Automatic Control, vol.56, issue.11, pp.2671-2676, 2011.
DOI : 10.1109/TAC.2011.2159424
URL : https://hal.archives-ouvertes.fr/hal-00859560

C. D. Siebenthal and R. Aris, Studies in optimization???VI The application of Pontryagin's methods to the control of a stirred reactor, Chemical Engineering Science, vol.19, issue.10, pp.729-746, 1964.
DOI : 10.1016/0009-2509(64)85085-5

H. L. Smith and P. Waltman, The Theory of the Chemostat, 1995.
DOI : 10.1017/CBO9780511530043