E. M. Abulesz and G. Lyberatos, Periodic Impulse Forcing of Nonlinear Systems: a New Method, International Journal of Control, vol.48, pp.469-480, 1988.

E. M. Abulesz and G. Lyberatos, Periodic Optimization of Microbial Growth Processes, Biotechnology & Bioengineering, vol.29, pp.1059-1067, 1987.

E. M. Abulesz and G. Lyberatos, Periodic Operation of a Continuous Culture of Baker's Yeast, Biotechnology & Bioengineering, vol.34, pp.741-749, 1989.

A. O. Belyakov and V. M. Veliov, Constant versus periodic fishing: age structured optimal control approach, Math. Model. Nat. Phenom, vol.9, pp.20-37, 2014.

D. S. Bernstein and E. G. Gilbert, Optimal periodic control: The ? test revisited, IEEE Transactions on Automatic Control, vol.25, pp.673-684, 1980.

S. Bittanti, G. Fronza, and G. Guardabassi, Periodic control: A frequency domain approach, IEEE Transactions on Automatic Control, vol.18, pp.33-38, 1973.

S. Bittanti, A. Locatelli, and C. Maffezzoni, Second-variation methods in periodic optimization, J. Optimization Theory and Appl, vol.14, pp.31-49, 1974.

S. Bittanti, A. Locatelli, and S. Rinaldi, Status of periodic optimization of dynamical systems, J. Optimization Theory and Appl, vol.14, pp.1-20, 1974.

L. Cesari, Optimization-Theory and Applications. Problems with ordinary differential equations, 1983.

C. W. Clark-mathematical and . Bioeconomics, , 2010.

R. T. Evans, J. L. Speyer, and C. H. Chuang, Solution of a periodic optimal control problem by asymptotic series, J. Optimization Theory and Appl, vol.52, pp.343-364, 1987.

E. G. Gilbert, Optimal periodic control: A general theory of necessary conditions, SIAM J. Control Optim, vol.15, pp.717-746, 1987.

E. G. Gilbert, Q. Wang, Q. , and J. L. Speyer, Necessary and Sufficient Conditions for Local Optimality of a Periodic Process, SIAM J. Control Optim, vol.28, pp.482-497, 1990.

J. Harmand, C. Lobry, A. Rapaport, and T. Sari, The Chemostat: mathematical theory of microorganisms cultures, 2017.

V. Hatzimanikatis, G. Lyberatos, S. Pavlou, and S. A. Svoronos, A Method for Pulsed Periodic Optimization of Chemical Reaction Systems, Chemical Engineering Science, vol.48, issue.4, pp.789-797, 1993.

L. V. Idels, Stability analysis of periodic Fox production models, Can. Appl. Math. Q, vol.14, issue.3, pp.331-341, 2006.

L. V. Idels and M. Wang, Harvesting Strategies with Modified Effort Function, Intern. J. of Modelling, Identification and Control, Special issue Modeling Complex Systems (IJMIC), vol.3, issue.1, pp.83-87, 2008.

C. Maffezzoni, Hamilton-Jacobi theory for periodic control problems, J. Optimization Theory and Appl, vol.14, pp.21-29, 1974.

L. Perko, Differential equations and dynamical systems, 2013.

L. S. Pontryagin, V. G. Boltyanskiy, R. V. Gamkrelidze, and E. F. Mishchenko, Mathematical theory of optimal processes, 1964.

J. L. Speyer and R. T. Evans, A second variation theory for optimal periodic processes, IEEE Transactions on Automatic Control, vol.29, pp.138-148, 1984.