W. G. Aiello and H. I. Freedman, A time-delay model of singlespecies growth with stage structure, Mathematical Biosciences, vol.101, pp.139-153, 1990.

J. P. Aubin, Viability theory. Birkhäuser, 1991.
URL : https://hal.archives-ouvertes.fr/inria-00636570

J. P. Aubin and H. Frankowska, Set-Valued Analysis, Birkhaüser, 1990.

J. P. Aubin and P. Saint-pierre, An introduction to viability theory and management of renewable resources, Advanced Methods for Decision Making and Risk Management, pp.43-80, 2007.

R. J. Aumann, Integrals of set-valued functions, J. Mathematical Analysis and Applications, vol.12, pp.1-12, 1965.

N. Bekiaris-liberis and M. Krstic, Nonlinear Control Under Nonconstant Delays. Society for Industrial and Applied Mathematics, 2013.

C. Bernard and S. Martin, Building strategies to ensure language coexistence in presence of bilingualism, Applied Mathematics and Computation, vol.218, issue.17, pp.8825-8841, 2012.

P. Bettiol, A. Bressan, and R. B. Vinter, On trajectories satisfying a state constraint: W 1,1 estimates and counter-examples, SIAM J. Control Optimal, vol.48, pp.4664-4679, 2010.

P. Bettiol, H. Frankowska, and R. B. Vinter, L ? estimates on trajectories confined to a closed subset, J. Differential Equations, vol.252, pp.1912-1933, 2012.
URL : https://hal.archives-ouvertes.fr/inria-00636415

P. Bettiol, H. Frankowska, and R. Vinter, Improved sensitivity relations in state constrained optimal control, Applied Mathematics & Optimization, vol.71, issue.2, pp.353-377, 2015.
URL : https://hal.archives-ouvertes.fr/hal-01005613

F. H. Clarke, Optimization and nonsmooth analysis, 1990.

A. F. Filippov, Classical solutions of differential equations with multivalued right hand side, SIAM J. Control Optimal, vol.5, pp.609-621, 1967.

F. Forcellini and F. Rampazzo, On nonconvex differential inclusions whose state is constrained in the closure of an open set. applications to dynamic programming, J. Differential and Integral Equations, vol.12, issue.4, pp.471-497, 1999.

H. Frankowska, A priori estimates for operational differential inclusions, J. Differential Equations, vol.84, pp.100-128, 1990.

H. Frankowska, E. M. Marchini, and M. Mazzola, A relaxation result for state constrained inclusions in infinite dimension, Mathematical Control and Related Fields, vol.6, issue.1, pp.113-141, 2016.
URL : https://hal.archives-ouvertes.fr/hal-01099223

H. Frankowska and M. Mazzola, Discontinuous solutions of Hamilton-Jacobi-Bellman equation under state constraints. Calculus of Variations and Partial Differential Equations, vol.46, pp.725-747, 2013.
URL : https://hal.archives-ouvertes.fr/hal-00710717

H. Frankowska and M. Mazzola, On relations of the adjoint state to the value function for optimal control problems with state constraints, Nonlinear Differential Equations and Applications, vol.20, pp.361-383, 2013.
URL : https://hal.archives-ouvertes.fr/hal-00800199

H. Frankowska and M. Quincampoix, Viability kernels of differential inclusions with constraints: algorithm and applications, J. Math. Systems, Estimation and Control, vol.1, pp.371-388, 1991.

H. Frankowska and F. Rampazzo, Filippov's and FilippovWazewski's theorems on closed domains, J. Differential Equations, vol.161, pp.449-478, 2000.

H. Frankowska and R. B. Vinter, Existence of neighboring feasible trajectories: Applications to dynamic programming for state-constrained optimal control problems, J. Optimization Theory and Applications, vol.104, issue.1, pp.21-40, 2000.

G. Haddad, Monotone viable trajectories for functional differential inclusions, J. Differential Equations, vol.42, pp.1-24, 1981.

I. Haidar, I. Alvarez, and A. C. Prévot, Mathematical modeling of an urban pigeon population subject to local management strategies, Mathematical Biosciences, vol.288, pp.71-83, 2017.
URL : https://hal.archives-ouvertes.fr/hal-01319753

J. K. Hale and S. M. Verduyn-lunel, Introduction to functional differential equations, vol.99, 1993.

Y. Kuang, Delay differential equations with application in population dynamics, 1993.

M. , D. Lara, and V. Martinet, Multi-criteria dynamic decision under uncertainty: A stochastic viability analysis and an application to sustainable fishery management, Mathematical Biosciences, vol.217, issue.2, pp.118-124, 2009.
URL : https://hal.archives-ouvertes.fr/hal-01172900

H. M. Regan, Y. Ben-haim, B. Langford, W. Wilson, and P. Lundgerg, Robust decision-making under severe uncertainty for conservation management, Ecological Applications, vol.15, issue.4, pp.1471-1477, 2005.

J. Rouquier, I. Alvarez, R. Reuillon, and P. Wuillemin, A kd-tree algorithm to discover the boundary of a black box hypervolume, Annals of Mathematics and Artificial Intelligence, vol.75, issue.3, pp.335-350, 2015.
URL : https://hal.archives-ouvertes.fr/hal-00816704

P. Saint-pierre, Approximation of the viability kernel, vol.29, pp.187-209, 1994.

M. Sicard, N. Perrot, R. Reuillon, S. Mesmoudi, I. Alvarez et al., Héì ene Frankowska has completed her habilitation (doctoratèsdoctorat`doctoratès sciences) of Mathematics in 1984 at University of Paris Dauphine, France. She is currently Directeur de Recherche at CNRS and University of Paris 6. She has held visiting positions at Centre de Recherche Mathématiques, Food Control, vol.23, issue.2, pp.312-319, 2012.

R. ,

, Scuola Internazionale Superiore di Studi Avanzati

, Her research activities are focused on optimal control, both in the deterministic and stochastic framework, control of systems under state constraints, viability theory, differential inclusions, setvalued and variational analysis, She was invited sectional speaker at International Congress of Mathematicians ICM 2010 in Hyderabad

, Since then he has been post-doc in different places, Ihab Haidar was born in Beirut, Lebanon, in 1983. He received the Master's degree in mathematics from the University of Aix-Marseille 1, France, in 2008 and the Ph.D. degree from the University of, 2011.

, Ma??treMa??tre De Conférences at ENSEA. His main research interests include Nonlinear control theory, Time delay systems and Systems biology