N. U. Ahmed and X. Ding, Controlled McKean-Vlasov equation, Communications on Applied Analysis, vol.5, pp.183-206, 2001.

D. Andersson and B. Djehiche, A Maximum Principle for SDEs of Mean-Field Type, Applied Mathematics & Optimization, vol.42, issue.7, pp.341-356, 2010.
DOI : 10.1007/s00245-010-9123-8

A. Bensoussan, J. Frehse, and P. Yam, Mean Field Games and Mean Field Type Control Theory, 2013.
DOI : 10.1007/978-1-4614-8508-7

A. Bensoussan, J. Frehse, and P. Yam, The Master equation in mean field theory, Journal de Math??matiques Pures et Appliqu??es, vol.103, issue.6, pp.1441-1474, 2015.
DOI : 10.1016/j.matpur.2014.11.005

T. Björk and A. Murgoci, A General Theory of Markovian Time Inconsistent Stochastic Control Problems, SSRN Electronic Journal, 2008.
DOI : 10.2139/ssrn.1694759

R. Buckdahn, B. Djehiche, and J. Li, A General Stochastic Maximum Principle for SDEs of Mean-field Type, Applied Mathematics & Optimization, vol.2, issue.4, pp.197-216, 2011.
DOI : 10.1007/s00245-011-9136-y

R. Carmona and F. Delarue, Forward???backward stochastic differential equations and controlled McKean???Vlasov dynamics, The Annals of Probability, vol.43, issue.5, 2014.
DOI : 10.1214/14-AOP946

URL : https://hal.archives-ouvertes.fr/hal-00803683

R. Carmona, F. Delarue, and A. Lachapelle, Control of McKean???Vlasov dynamics versus mean field games, Mathematics and Financial Economics, vol.135, issue.3, pp.131-166, 2013.
DOI : 10.1007/s11579-012-0089-y

URL : https://hal.archives-ouvertes.fr/hal-00655842

R. Elliott, X. Li, and Y. Ni, Discrete time mean-field stochastic linear-quadratic optimal control problems, Automatica, vol.49, issue.11, pp.3222-3233, 2013.
DOI : 10.1016/j.automatica.2013.08.017

M. Huang, P. Caines, and R. Malhamé, Large population stochastic dynamic games: closed-loop McKean-Vlasov systems and the Nash certainty equivalence principle, Communication in Information and Systems, vol.6, issue.3, pp.221-252, 2006.

J. M. Lasry and P. L. Lions, Mean field games, Japanese Journal of Mathematics, vol.4, issue.1, pp.229-260, 2007.
DOI : 10.1007/s11537-007-0657-8

URL : https://hal.archives-ouvertes.fr/hal-00667356

M. Laurì-ere and O. Pironneau, Dynamic programming for mean-field type control, CRAS, vol.352, issue.9, pp.707-713, 2014.

D. Li and X. Y. Zhou, Continuous-time mean-variance portfolio selection: a stochastic LQ framework, Applied Mathematics and Optimization, vol.42, pp.19-33, 2000.

H. Pham and X. Wei, Bellman equation for McKean-Vlasov control problem, 2015.

A. S. Sznitman, Topics in propagation of chaos, Lecture Notes in Mathematics, vol.22, issue.1, pp.165-251, 1989.
DOI : 10.1070/SM1974v022n01ABEH001689

J. Yong, Linear-Quadratic Optimal Control Problems for Mean-Field Stochastic Differential Equations, SIAM Journal on Control and Optimization, vol.51, issue.4, pp.2809-2838, 2013.
DOI : 10.1137/120892477