Département de Mathématiques
Université de Perpignan
52, Avenue Paul Alduy
66860 Perpignan Cedex 9, FRANCE
http://www.univ-perp.fr/
Optimal control theory and differential games
PDE of Hamilton Jacobi type; regularity of solutions
Singular perturbed control systems
Differential inclusions and equations, viability theory
Nonlinear analysis and optimization
Academic career
09/2011-03/2012 Researcher at Pierre et Marie Curie - Paris 6 University (délégation CNRS )
09/2010-03/2011 Researcher at Pierre et Marie Curie - Paris 6 University (délégation CNRS )
12/2010 Habilitation (HDR) at Paris 6 University
Title of the thesis: Control problems and differential games with and without reflection
2009-2010 Researcher at the Center of Applied Mathematics (CMAP & INRIA) of the Ecole Polytechnique, Palaiseau, INRIA Saclay Ile-de-France (détachement INRIA (01/2009-01/2010) et délégation INRIA (01/2010-09/2010) )
2005 Young author's prize at 11th IEEE International Conference on Methods and Models in Automation and Robotics, Miedzyzdroje, Poland
2004-2005 Humboldt research fellowship
Collaboration with Prof. H. Hering, several short stays at the Institut für Mathematische Stochastik, Georg-August Universität Göttingen, Germany
2004 Two-year DFG (German Research Foundation) research fellowship (declined)
Since 2004 Associate Professor (Maître de Conferences), University of Perpignan, France
2000-2004 Teaching assistant (Allocataire Monitrice, ATER), University of Brest, France
2000-2002 Ph.D. in Mathematics, University of Brest, France in collaboration with Al. I. Cuza University of Iasi, Romania
Title of the thesis: Reflected Control Problems and Differential Games with supremum cost
Defended in 12/2002 at the University of Brest
Advisors: Prof. M. Quincampoix, Prof. T. Precupanu
Work in progress
Approximation schemes for Hamilton Jacobi Inequalities
On Controlled Piecewise Deterministic Markov Processes (differential game case) (with D. Goreac)
Hamilton-Jacobi theory for reflected optimal control problems (with P. R. Wolenski and H. Zidani)
Control problems on networks (with O. Ley)
Control problems for differential variational inequalities (with S. Adly)
Optimality conditions for reflecting boundary stochastic control problems (with D. Goreac)
Submitted papers
An Abel-type result for controlled piecewise deterministic Markov processes (with D. Goreac)
Peer-reviewed publications
Computation of viability kernels: a case study of by-catch fisheries (with J. Krawczyk, A. Pharo and S. Sinclair)
Computational Management Science, to appear
Characterization of the optimal trajectories for the averaged dynamics associated to singularly perturbed control systems
Journal of Differential Equations, to appear
Sensitivity analysis for relaxed optimal control problems with final-state constraints (with F. Bonnans and L. Pfeiffer)
Nonlinear Analysis
Series A: Theory, Methods & Applications, to appear
Min-max control problems via occupational measures (with D. Goreac)
Optimal Control, Applications and Methods, to appear
LP Approach to Dynamic Programming Principles for Stochastic
Control Problems with State Constraints (with D. Goreac and C. Ivascu)
Nonlinear Analysis
Series A: Theory, Methods & Applications, Vol. 77, 59–73, 2013
Optimality conditions for reflecting boundary control problems
Nonlinear Differential Equations and Applications, DOI: 10.1007/s00030-012-0206-x, 2012
Some applications of linear programming formulations in stochastic control (with D. Goreac)
Journal of Optimization Theory and Applications, Vol. 155, Issue 2, 572-593, 2012
Linearization techniques for controlled piecewise deterministic Markov processes; application to Zubov's method (with D. Goreac)
Applied Mathematics and Optimization, Vol. 66, Issue 2, 209-238, 2012
A note on linearization methods and dynamic programming principles for stochastic discontinuous control problems (with D. Goreac)
Electronic Communications in Probability, Vol. 17, 1-12, 2012
When can it be not optimal to adopt a new technology? A viability theory solution to a two-stage optimal control problem of new technology adoption (with J. Krawczyk)
Optimal Control, Applications and Methods, DOI: 10.1002/oca.1030, 2011
Differential games and Zubov’s method (with L. Grüne)
SIAM Journal on Control and Optimization, SIAM Journal on Control and Optimization, Vol. 49, Issue 6, 2349-2277, 2011
Linearization Techniques for Linf-Control Problems and
Dynamic Programming Principles in Classical and Linf-Control Problems (with D. Goreac)
ESAIM: Control, Optimisation and Calculus of Variations, Vol. 18, 836-855, 2011
Proceedings