Submitted papers:

1. Minimum time problem for the double integrator with a loss-of-control region
   with Térence Bayen and Anas Bouali
   
   
2. The derivative of a nonlinear positively homogeneous variational inequality is a complementarity problem
   with Samir Adly
   
   
3. A derivative-free approach to partitioned optimization
   with Charles Audet and Pierre-Yves Bouchet
   
   
4. Shape optimization involving the Tresca friction law in a 2D linear elastic model
   with Fabien Caubet and Aymeric Jacob de Cordemoy
   
   

Publications in international peer reviewed journals:

1. On the use of needle-like perturbations in spatially heterogeneous control systems
   with Térence Bayen and Anas Bouali
   Journal of Optimization Theory and Applications (JOTA), 2025
   Link, PDF
   
   
2. Convergence towards a local minimum by direct search methods with a covering step
   with Charles Audet and Pierre-Yves Bouchet
   Optimization Letters, 2025
   Link, PDF
   
   
3. The hybrid maximum principle for optimal control problems with spatially heterogeneous dynamics is a consequence of a Pontryagin maximum principle for L^1_square local solutions
   with Térence Bayen and Anas Bouali
   SIAM Journal on Control and Optimization (SICON), 2024
   Link, PDF
   
   
4. Counterexample and an additional revealing poll step for a result of "Analysis of direct searches for discontinuous functions''
   with Charles Audet and Pierre-Yves Bouchet
   Mathematical Programming Series A (Math. Prog.), 2024
   Link, PDF
   
   
5. Convergence in nonlinear optimal sampled-data control problems
   with Emmanuel Trélat
   IEEE Transactions on Automatic Control (IEEE-TAC), 2024
   Link, PDF
   
   
6. Loss control regions in optimal control problems
   with Térence Bayen, Anas Bouali and Olivier Cots
   Journal of Differential Equations (JDE), 2024
   Link, PDF
   
   
7. Sensitivity analysis and optimal control for a contact problem with friction in the linear elastic model
   with Fabien Caubet and Aymeric Jacob de Cordemoy
   Applied Mathematics and Optimization (AMOP), 2024
   Link, PDF
   
   
8. Shape optimization for variational inequalities: the scalar Tresca friction problem
   with Samir Adly, Fabien Caubet and Aymeric Jacob de Cordemoy
   SIAM Journal on Optimization (SIOPT), 2023
   Link, PDF
   
   
9. The application of a universal separating vector lemma to optimal sampled-data control problems with nonsmooth Mayer cost function
   with Samir Adly and Gaurav Dhar
   Mathematical Control and Related Fields (MCRF), 2023
   Link, PDF
   
   
10. Optimal sampled-data controls with running inequality state constraints: Pontryagin maximum principle and bouncing trajectory phenomenon
    with Gaurav Dhar
    Mathematical Programming Series A (Math. Prog.), 2022
    Link, PDF
    
    
11. Sensitivity analysis of a scalar mechanical contact problem with perturbation of the Tresca's friction law
    with Fabien Caubet and Aymeric Jacob de Cordemoy
    Journal of Optimization Theory and Applications (JOTA), 2022
    Link, PDF
    
    
12. Sensitivity analysis of a Tresca-type problem leads to Signorini's conditions
    with Samir Adly and Fabien Caubet
    ESAIM: Control, Optimisation and Calculus of Variations (COCV), 2022
    Link, PDF
    
    
13. Unified Riccati theory for optimal permanent and sampled-data control problems in finite and infinite time horizons
    with Emmanuel Trélat
    SIAM Journal on Control and Optimization (SICON), 2021
    Link, PDF
    
    
14. Robustness under control sampling of reachability in fixed time for nonlinear control systems
    with Emmanuel Trélat
    Mathematics of Control, Signals and Systems (MCSS), 2021
    Link, PDF
    
    
15. Pontryagin maximum principle for state constrained optimal sampled-data control problems on time scales
    with Piernicola Bettiol
    ESAIM: Control, Optimisation and Calculus of Variations (COCV), 2021
    Link, PDF
    
    
16. Legendre's necessary condition for fractional Bolza functionals with mixed initial/final constraints
    with Rui Ferreira
    Journal of Optimization Theory and Applications (JOTA), 2021
    Link, PDF
    
    
17. Pontryagin maximum principle for general Caputo fractional optimal control problems with Bolza cost and terminal constraints
    with Maïtine Bergounioux
    ESAIM: Control, Optimisation and Calculus of Variations (COCV), 2020
    Link, PDF
    
    
18. Pontryagin-type conditions for optimal muscular force response to functional electrical stimulations
    with Toufik Bakir, Bernard Bonnard and Jérémy Rouot
    Journal of Optimization Theory and Applications (JOTA), 2020
    Link, PDF
    
    
19. Continuity/constancy of the Hamiltonian function in a Pontryagin maximum principle for optimal sampled-data controls with free sampling times
    with Gaurav Dhar
    Mathematics of Control, Signals and Systems (MCSS), 2019
    Link, PDF
    
    
20. On a decomposition formula for the resolvent operator of the sum of two set-valued maps with monotonicity assumptions
    with Samir Adly
    Applied Mathematics and Optimization (AMOP), 2019
    Link, PDF
    
    
21. Weighted Hölder continuity of Riemann-Liouville fractional integrals - Application to regularity of solutions to fractional Cauchy problems with Carathéodory dynamics
    Fractional Calculus and Applied Analysis (FCAA), 2019
    Link, PDF
    
    
22. On a decomposition formula for the proximal operator of the sum of two convex functions
    with Samir Adly and Fabien Caubet
    Journal of Convex Analysis (JCA), 2019
    Link, PDF
    
    
23. Sensitivity analysis of variational inequalities via twice epi-differentiability and proto-differentiability of the proximity operator
    with Samir Adly
    SIAM Journal on Optimization (SIOPT), 2018
    Link, PDF
    
    
24. Cauchy-Lipschitz theory for fractional multi-order dynamics - State-transition matrices, Duhamel formulas and duality theorems
    Differential and Integral Equations (DIE), 2018
    Link, PDF
    
    
25. Addendum to Pontryagin’s maximum principle for dynamic systems on time scales
    with Olexandr Stanzhytskyi and Emmanuel Trélat
    Journal of Difference Equations and Applications (JDEA), 2017
    Link, PDF
    
    
26. Linear-quadratic optimal sampled-data control problems: convergence and Riccati theory
    with Emmanuel Trélat
    Automatica J. IFAC (Automatica), 2017
    Link, PDF
    
    
27. Flip procedure in geometric approximation of multiple-components shapes - Application to multiple-inclusions detection
    with Pierre Bonnelie, Fabien Caubet and Olivier Ruatta
    SMAI Journal of Computational Mathematics (SMAI JCM), 2016
    Link, PDF
    
    
28. Optimal sampled-data control, and generalizations on time scales
    with Emmanuel Trélat
    Mathematical Control and Related Fields (MCRF), 2016
    Link, PDF
    
    
29. A fractional fundamental lemma and a fractional integration by parts formula - Applications to critical points of Bolza functionals and to linear boundary value problems
    with Dariusz Idczak
    Advances in Differential Equations (ADE), 2015
    Link, PDF
    
    
30. Existence of minimizers for generalized Lagrangian functionals and a necessary optimality condition - Application to fractional variational problems
    with Tatiana Odzijewicz and Delfim Torres
    Differential and Integral Equations (DIE), 2014
    Link, PDF
    
    
31. General Cauchy-Lipschitz theory for Delta-Cauchy problems with Carathéodory dynamics on time scales
    with Emmanuel Trélat
    Journal of Difference Equations and Applications (JDEA), 2014
    Link, PDF
    
    
32. Nonshifted calculus of variations on time scales with Nabla-differentiable Sigma
    Journal of Mathematical Analysis and Applications (JMAA), 2014
    Link, PDF
    
    
33. Pontryagin Maximum Principle for finite dimensional nonlinear optimal control problems on time scales
    with Emmanuel Trélat
    SIAM Journal on Control and Optimization (SICON), 2013
    Link, PDF
    
    
34. Existence of minimizers for fractional variational problems containing Caputo derivatives
    with Tatiana Odzijewicz and Delfim Torres
    Advances in Dynamical Systems and Applications (ADSA), 2013
    Link, PDF
    
    
35. Existence of a weak solution for fractional Euler-Lagrange equations
    Journal of Mathematical Analysis and Applications (JMAA), 2013
    Link, PDF
    
    
36. Helmholtz's inverse problem of the discrete calculus of variations
    with Jacky Cresson
    Journal of Difference Equations and Applications (JDEA), 2013
    Link, PDF
    
    
37. A continuous/discrete fractional Noether's theorem
    with Jacky Cresson and Isabelle Greff
    Communication in Nonlinear Sciences and Numerical Simulations (CNSNS), 2013
    Link, PDF
    
    
38. Variational integrator for fractional Euler-Lagrange equations
    with Jacky Cresson, Isabelle Greff and Pierre Inizan
    Applied Numerical Mathematics (ANM), 2013
    Link, PDF
    
    

Conference proceedings:

1. Optimal control problems with non-control regions: necessary optimality conditions
   with Térence Bayen and Anas Bouali
   18th IFAC workshop on control applications of optimization CAO'2022 (Gif-sur-Yvette, France), 2022
   Link, PDF
   
   
2. Direct and indirect methods to optimize the muscular force response to a pulse train of electrical stimulation
   with Toufik Bakir, Bernard Bonnard and Jérémy Rouot
   FGS Optimization (Nice, France), 2019
   PDF
   
   
3. Pontryagin maximum principle for optimal sampled-data control problems
   with Emmanuel Trélat
   16th IFAC workshop on control applications of optimization CAO'2015 (Garmisch-Partenkirchen, Germany), 2015
   Link, PDF
   
   
4. Variational integrators of fractional Lagrangian systems in the framework of discrete embeddings
   11th international conference Zaragoza-Pau on applied mathematics (Jaca, Spain), 2012
   PDF
   
   

Book chapters:

1. On the reduction of a spatially hybrid optimal control problem into a temporally hybrid optimal control problem
   with Térence Bayen, Anas Bouali and Olivier Cots
   AIMS on Applied Mathematics, volume dedicated to Ivan Kupka (Chapter 11), 2024
   Link, PDF
   
   
2. A class of fractional optimal control problems and fractional Pontryagin's systems. Variational integrator and existence of continuous/discrete Noether's theorems
   Fractional calculus in analysis, dynamics and optimal control (Chapter 3), 2014
   Link, PDF
   
   

Research note:

1. Note on Pontryagin maximum principle with running state constraints and smooth dynamics - Proof based on the Ekeland variational principle
   Personal research notes, 2016
   Link, PDF