Hasnaa Zidani

Most of my publications are available in the open archive Hal
(click here to visit my page on Hal)



I. Recent papers

  1. Two-term large-time asymptotic expansion of the value function for dissipative nonlinear optimal control problems
    Veljko Askovic, Emmanuel Trélat, and Hasnaa Zidani. (Preprint submitted)

  2. Viscosity solutions of centralized control problems in measure spaces
    Othmane Jerhaoui, Averil Prost, and Hasnaa Zidani. (Preprint submitted)  

  3. Pontryagin's Principle for some Probabilistic Control Problems
    Wim van Ackooij, René Henrion, and Hasnaa Zidani. (Preprint submitted)

  4. Bi-objective finite horizon optimal control problem with Bolza and maximum running costs
    Ana Paula Chorobura and Hasnaa Zidani. (Preprint submitted)


II. Papers in international journals

  1. Linear quadratic optimal control turnpike in finite and infinite dimension: Two-term expansion of the value function
    Veljko Ašković , Emmanuel Trélat and Hasnaa Zidani .
    Systems & Control Letters, 2024  

  2. Deterministic optimal control on Riemannian manifolds under probability knowledge of the initial condition
    Frédéric Jean , Othmane Jerhaoui and Hasnaa Zidani .
    SIAM J. Mathematical Analysis, Vol. 56(3), 2024  

  3. Viscosity Solutions of Hamilton-Jacobi Equations in Proper CAT(0) Spaces
    Othmane Jerhaoui and Hasnaa Zidani .
    Journal of Geometric Analysis, Volume 34, 2024  

  4. Relation Between the Maximum Principle and Dynamic Programming for Minimax Problems
    Cristopher Hermosilla and Hasnaa Zidani .
    Applied Mathematics and Optimization, 87(34), 35pp, 2023  

  5. A General Comparison Principle for Hamilton-Jacobi-Bellman Equations on Stratified Domains
    Othmane Jerhaoui and Hasnaa Zidani .
    ESAIM: Control, Optimisation and Calculus of Variations, vol. 29, 2023  

  6. Optimistic Planning Algorithms For State-Constrained Optimal Control Problems
    Olivier Bokanowski, Nidhal Gammoudi and Hasnaa Zidani
    Computers & Mathematics with Applications, vol. 159(1), pp. 158--179, 2022     

  7. A Differentail Game Control Problem with State Constraints
    Nidhal Gammoudi and Hasnaa Zidani
    Mathematical Control and Related Fields, 2022     

  8. Relationship between maximum principle and dynamic programming principle in presence of intermediate and final state constraints
    Olivier Bokanowski, Anna Désilles and Hasnaa Zidani
    Esaim: Control, Optimisation and Calculus of Variations, vol. 27, 2021     

  9. Global Optimization Approach for the Ascent Problem of Multi-stage Launchers
    Olivier Bokanowski, Anna Désilles and Hasnaa Zidani
    Modeling, Simulation and Optimization of Complex Processes "High Performance Scientific Computing - HSPC2018", Springer (Eds: Bock H.G., Jäger W., Kostina E., Phu H.X.), pp. 1--42, 2021     

  10. Error estimates for numerical approximation of Hamilton-Jacobi equations related to hybrid control systems
    Roberto Ferretti, Achille Sassi and Hasnaa Zidani
    Applied Mathematics & Optimization,vol. 83, 139--175, 2021      

  11. Demand response versus storage flexibility in energy: multi-objective programming considerations
    Wim von Akooij, Ana Paula Chorobura, Claudia Sagastizabal, and Hasnaa Zidani
    Journal Optimization, 2020     

  12. Stability and Reachability analysis for a controlled heterogeneous population of cells
    Cécile Carrère and Hasnaa Zidani
    Optimal Control, Applications & Methods, vol. 41(5), pp. 1678--1704, 2020       

  13. Junction conditions for finite horizon optimal control problems on multi-domains with continuous and discontinuous solutions
    Daria Ghili, Zhiping Rao, and Hasnaa Zidani
    ESAIM: Control, Optimisation, and Calculus of Variations, vol. 25(79), pp. 38, 2019     

  14. Pareto Front Characterization for Multiobjective Optimal Control Problems Using Hamilton--Jacobi Approach
    Anna Désilles and Hasnaa Zidani
    SIAM J. on Control and Optimization, vol. 57 (6), pp. 3884-3910, 2019     

  15. Infinite Horizon Stochastic Optimal Control Problems with Running Maximum Cost
    Axel Kröner, Athena Picarelli and Hasnaa Zidani
    SIAM J. Control Optim., vol. 56(5), pp. 3296--3319, 2018     

  16. Optimal control of normalized SIMR models with vaccination and treatment
    Maria do Rosário De Pinho, Helmut Maurer and Hasnaa Zidani
    Discrete and Continuous Dynamical Systems - Series B, vol. 23 (1), pp. 79 - 99, 2018     

  17. Solving chance constrained optimal control problems in aerospace via Kernel Density Estimation
    Jean-Baptiste Caillau, Max Cerf, Achille Sassi, Emmanuel Trélat and Hasnaa Zidani
    Optimal Control, Applications and Methods, vol. 39(5), pp. 1818-1832, 2018     

  18. Value function and optimal trajectories for a maximum running cost control problem with state constraints. Application to an abort landing problem.
    Mohamed Assellaou, Olivier Bokanowski, Anna Désilles and Hasnaa Zidani
    ESAIM: Mathematical Modelling and Numerical Analysis (ESAIM: M2AN), vol. 52(1), pp. 305--335, 2018      

  19. Discontinuous solutions of Hamilton-Jacobi equations on networks
    Philip Jameson Graber, Cristopher Hermosilla and Hasnaa Zidani
    Journal of Differential Equations, vol. 263 (12), pp. 8418-8466, Elsevier, 2017     

  20. Hamilton-Jacobi-Bellman equations for optimal control processes with convex state constraints
    Cristopher Hermosilla, Richard Vinter and Hasnaa Zidani
    Systems and Control Letters, vol. 109, pp. 30–36, Elsevier, 2017 2017     

  21. The Mayer and Minimum Time Problems with Stratified State Constraints
    Cristopher Hermosilla, Peter R. Wolenski and Hasnaa Zidani
    Set-Valued and Variational Analysis, 26, pp 643–662, 2018     

  22. State-constrained stochastic optimal control problems via reachability approach
    Olivier Bokanowski, A. Picarelli and Hasnaa Zidani
    SIAM J. on Control and Optimization, vol. 54 (5), pp. 2568–2593, 2016    

  23. Dynamic programming and error estimates for stochastic control problems with maximum cost
    Olivier Bokanowski, A. Picarelli and Hasnaa Zidani
    Applied Mathematics and Optimization (AMO, Springer), vol. 71(1), pp. 125--163, 2015    

  24. Error Estimates for Second Order Hamilton-Jacobi-Bellman Equations. Approximation of Probabilistic Reachable Sets
    Mohamed Assellaou, Olivier Bokanowski and Hasnaa Zidani
    DCDS- Serie A, vol. 35(9), pp. 3933 - 3964, 2015    

  25. Infinite horizon problems on stratifiable state-constraints sets
    Cristopher Hermosilla and Hasnaa Zidani
    Journal of Differential Equations, vol. 258(4), pp. 1420--1460, 2015  

  26. Monotone numerical schemes and feedback construction for hybrid control systems
    Roberto Ferretti and Hasnaa Zidani
    J. of Optimization Theory and Applications, vol. 165(2), pp. 507-531, 2015  

  27. Optimal feedback control of undamped wave equations by solving a HJB equation
    Axel Kröner, Karl Kunisch and Hasnaa Zidani
    ESAIM: Control, Optimisation, and Calculus of Variations, vol. 21(2), pp. 442 - 464, 2015  

  28. Value iteration convergence of ℇ-monotone schemes for stationary Hamilton-Jacobi equations
    Olivier Bokanowski, Maurizio Falcone, Roberto Ferretti, Dante Kalise, Lars Grüne, and Hasnaa Zidani
    Discrete and Continuous Dynamical Systems - Serie A, vol. 35(9), pp. 4041 - 4070, 2015  

  29. Zubov's equation for state-constrained perturbed nonlinear systems
    Lars Grüne and Hasnaa Zidani
    Mathematical Control and Related Fields, vol. 5(1), pp. 55 - 71, 2015  

  30. Level-set approach for Reachability Analysis of Hybrid Systems under Lag Constraints
    Giovanni Granato and Hasnaa Zidani
    SIAM J. Control and Optim., vol. 52, pp. 606-628, 2014  

  31. Transmission conditions on interfaces for Hamilton-Jacobi-Bellman equations
    Zhiping Rao, Antonio Siconolfi and Hasnaa Zidani
    Journal of Differential Equations, vol. 257(11), pp. 3978--4014, 2014  

  32. A Hamilton-Jacobi approach to junction problems and application to traffic flows
    Cyril Imbert, Régis Monneau and Hasnaa Zidani
    ESAIM: Control, Optimisation, and Calculus of Variations., vol. 19(01), pp. 129--166, 2013  

  33. A general Hamilton-Jacobi framework for nonlinear state-constrained control problems
    Albert Altarovici, Olivier Bokanowski and Hasnaa Zidani
    ESAIM: Control, Optimisation, and Calculus of Variations., vol. 19(2), pp. 337--357, 2013  

  34. State-Constrained Optimal Control Problems of Impulsive Differential Equations
    Nicolas Forcadel, Zhiping Rao and Hasnaa Zidani
    Applied Mathematics & Optimization, vol. 68, pp. 1--19, 2013  

  35. Approximation schemes for monotone systems of nonlinear second order partial differential equations: convergence result and error estimate
    Ariela Briani, Fabio Camilli and Hasnaa Zidani
    Differential Equations and Applications, vol. 4, pp. 297--317, 2012  

  36. Characterisation of the value function of final state constrained control problems with BV trajectories
    Ariela Briani and Hasnaa Zidani
    Communication in Pure and Applied Analysis., vol. 10(6), pp. 1567-1587, 2011  

  37. Deterministic state constrained optimal control problems without controllability assumptions
    Olivier Bokanowski, Nicolas Forcadel and Hasnaa Zidani
    ESAIM: Control, Optimisation and Calculus of Variations., vol. 17(04), pp. 975--994, 2011  

  38. An efficient data structure and accurate scheme to solve front propagation problems
    Olivier Bokanowski, Emiliano Cristiani and Hasnaa Zidani
    Journal of Scientific Computing., vol. 42(2), pp. 251--273, 2010    images/pdf.gif     

  39. Convergence of a non-monotone scheme for Hamilton-Jacobi-Bellman equations with discontinuous initial data
    Olivier Bokanowski, Nadia Megdich and Hasnaa Zidani
    Numerische Mathematik., vol. 115(1), pp. 1--44, 2010    images/pdf.gif     

  40. L¹-error estimates for numerical approximations of Hamilton-Jacobi-Bellman equations in dimension 1
    Olivier Bokanowski, Nicolas Forcadel and Hasnaa Zidani
    Mathematics of Computation., vol. 79(271), pp. 1395--1426, 2010    images/pdf.gif     

  41. Reachability and minimal times for state constrained nonlinear problems without any controllability assumption
    Olivier Bokanowski, Nicolas Forcadel and Hasnaa Zidani
    SIAM J. Control and Optimization., vol. 48(7), pp. 4292-4316, 2010    images/pdf.gif     

  42. Minumum time control problems for non autonomous differential equations
    Olivier Bokanowski, Ariela Biani and Hasnaa Zidani
    Systems and Control Letters, vol. 58(10-11), pp. 742-746, 2009     

  43. Numerical approximation for a superreplication problem under gamma constraints
    Olivier Bokanowski, Benjamin Bruder, Stefania Maroso and Hasnaa Zidani
    SIAM. J. of Num. Analysis., vol. 47(3), pp. 2289-2320, 2009    images/pdf.gif     

  44. Some convergence results for Howard's algorithm
    Olivier Bokanowski, Stefania Maroso and Hasnaa Zidani
    SIAM J. of Num. Analysis., vol. 47(4), pp. 3001--3026, 2009      images/pdf.gif     

  45. Anti-dissipative schemes for advection and application to Hamilton-Jacobi-Bellman equations
    Olivier Bokanowski and Hasnaa Zidani
    J. Sci. Computing, vol. 30(1), pp. 1--33, 2007      images/pdf.gif      

  46. Error estimates for a stochastic impulse control problem
    J. Frédéric Bonnans, Stefania Maroso and Hasnaa Zidani
    Applied. Math. and Optimisation, vol. 55-3, pp. 327--357, 2007      images/pdf.gif   

  47. A method for optimal control problems : an adaptative antidissipative method for optimal control problems
    Olivier Bokanowski, Nadia Megdich and Hasnaa Zidani
    Revue Africaine de la Recherche en Informatique et Mathématiques Appliquées, vol. 5, pp. 256-271, 2006

  48. An anti-diffusive scheme for viability problems
    Olivier Bokanowski, Sophie Martin, Remi Munos and Hasnaa Zidani
    Applied Numerical Mathematics, vol. 56(9), pp. 1147--1162, 2006      

  49. Error estimates for stochastic differential game: the adverse stopping case
    J. Frédéric Bonnans, Stefania Maroso and Hasnaa Zidani
    IMA Journal of Numerical Analysis, vol. 28, pp. 188-212, 2006     images/pdf.gif     

  50. Consistency of a simple multidimensional scheme for Hamilton–Jacobi–Bellman equations
    Remi Munos and Hasnaa Zidani
    Comptes Rendus Mathematique, vol. 340(7), pp. 499–502, 2005   images/pdf.gif    

  51. A fast algorithm for the two dimensional HJB equation of stochastic control
    J. Frédéric Bonnans, Elisabeth Ottenwaelter and Hasnaa Zidani
    ESAIM: Mathematical Modelling and Numerical Analysis, vol. 38(4), pp. 723-735, 2004    images/pdf.gif  

  52. Parametric optimization of hybrid car engines
    J. Frédéric Bonnans, Ahmed Ketfi-Cherif, Dirk von Wissel, Claudia Sagastizàbal and Hasnaa Zidani
    Optimization and Engineering, vol. 5(4), pp. 395-415, 2004   

  53. Consistency of Generalized Finite Difference Schemes for the Stochastic HJB Equation
    J. Frédéric Bonnans and Hasnaa Zidani
    SIAM Journal on Numerical Analysis, vol. 41(3), pp. 1008-1021, 2003   images/pdf.gif    

  54. Discrete approximation for a class of the Hamilton-Jacobi equation for an optimal control problem of a differential-algebraic system
    J. Frédéric Bonnans, Philippe Chartier and Hasnaa Zidani
    Control and Cybernetics, vol. 32-1, pp. 33-55, 2003   

  55. A fully Discrete Approximation for a Control Problem of Parabolic Variational Inequalities
    Maïtine Bergounioux and Hasnaa Zidani
    SIAM Journal on Numerical Analysis, vol. 39(6), pp. 2014-2033, 2002    images/pdf.gif  

  56. Pontryagin Principle for Local Solutions of Control Problems with mixed State Control Constraints
    Eduardo Casas, Jean-Pierre Raymond and Hasnaa Zidani
    SIAM J. Control and Optimization, vol. 39-4, pp. 1182--1203,    images/pdf.gif     

  57. Time optimal problems with boundary controls
    Jean-Pierre Raymond and Hasnaa Zidani
    Differential and Integral Equations, vol. 13(7-9), pp. 1039--1072, 2000     images/pdf.gif    

  58. Hamiltonian Pontryagin's Principles for Control Problems Governed by Semilinear Parabolic Equations
    Jean-Pierre Raymond and Hasnaa Zidani
    Applied Mathematics and Optimization, vol. 39 (2), pp. 143-177, 1999      images/pdf.gif    

  59. On the minimization of the energy of a free-electron gas with constrained density function
    Olivier Bokanowski, Ian Schindler and Hasnaa Zidani
    Nonlinear Analysis, Theory, Methods and Applications, vol. 35 (8), pp. 1073-1090, 1999

  60. Optimal control problems with partially polyhedric constraints
    J. Frédéric Bonnans and Hasnaa Zidani
    SIAM J. on Control and Optimization, vol. 37(6), pp. 1726--1741, 1999    images/pdf.gif  

  61. Pontryagin maximum principle for optimal control of variational inequalities
    Maïtine Bergounioux and Hasnaa Zidani
    SIAM J. on Control and Optimization, vol. 37 (4), pp. 1273-1290, 1999   images/pdf.gif    

  62. Pontryagin's principle for time-optimal problems
    Jean-Pierre Raymond and Hasnaa Zidani
    J. Optimization Theory and Applications, vol. 101(2), pp. 375--402, 1999

  63. Pontryagin's principle for state-constrained control problems governed by parabolic equations with unbounded controls
    Jean-Pierre Raymond and Hasnaa Zidani
    SIAM J. on Control and Optimization, vol. 36(6), pp. 1853--1879, 1998    images/pdf.gif  


III. Chapters of books

  1. An algorithmic guide for finite-dimensional optimal control problems
    Jean-Baptiste Caillau, Roberto Ferretti, Emmanuel Trélat and Hasnaa Zidani
    Handbook of numerical analysis: Numerical control, Part B, 24, North-Holland; Elsevier, pp.559-626, 2023        images/pdf.gif  

  2. Hamilton-Jacobi-Bellman Equations on Multi-Domains
    Zhiping Rao and Hasnaa Zidani
    Control and Optimization with PDE Constraints, International Series of Numerical Mathematics, vol. 164, pp. 93-116, Birkhäuser Basel, 2013        images/pdf.gif  

  3. Characterization of consistency of some numerical schemes for the stochastic HJB equation
    Frédéric Bonnans and Hasnaa Zidani
    Contrôle optimal et EDP - Innovations et Applications'', Ed. J.L. Menaldi et al, IOS Presse, 2000         

  4. Optimal Control Problem Governed by Semilinear Elliptic Equations with Integral Control Constraints and Pointwise State Constraints
    Eduardo Casas, Jean-Pierre Raymond and Hasnaa Zidani
    Inter. Series. of Num. Math., W. Desch and F. Kappel Eds., Birkhaüser-Verlag, 1998  

  5. Optimal Control Problem Governed by a Semilinear Parabolic Equation
    Jean-Pierre Raymond and Hasnaa Zidani
    System Modelling and Optimization, J. Dolezal and J. Fiedler Eds., Chapman and Hall, p. 211-217, 1996  

     

IV. Papers in international conferences

  1. A Mayer optimal control problem on Wasserstein spaces over Riemannian manifolds
    Frédéric Jean, Othman Jerhaoui and Hasnaa Zidani
    18th IFAC Workshop on Control Applications of Optimization, CAO 2022, France, 55(16), pp. 44-49, 2022   

  2. On the asymptotic behavior of the value function in large time optimal control problems
    Veljko Ašković, Emmanuel Trélat, and Hasnaa Zidani
    18th IFAC Workshop on Control Applications of Optimization, CAO 2022, France, 55(16), pp. 38-43, 2022   

  3. Optimization of the launcher ascent trajectory leading to the global optimum without any initialization: the breakthrough of the HJB approach
    Eric Bourgeois, Olivier Bokanowski, Anna Désilles and Hasnaa Zidani
    EUCASS Proceedings "Progress in Flight Dynamics, Guidance, Navigation, and Control", vol. 10, pp. 159-176, 2018
    (Selected paper at the "6th European Conference for Aeronautics and Space Sciences - EUCASS", June 2015, Kraków, Poland)       

  4. A maximum principle for a special optimal multiprocess problem with state constraints
    Maria do Rosário de Pinho and Hasnaa Zidani
    IEEE, Proceeding of the "11th Asian Control Conference (ASCC)", pp. 1566-1571, 2017   

  5. New improvements in the optimization of the launcher ascent trajectory through the HJB approach
    Eric Bourgeois, Olivier Bokanowski, Anna Désilles and Hasnaa Zidani
    Proceedings of "7TH European Conference for Aeronautics and Space Sciences (EUCASS)", 2017, 15p., 2017   

  6. Payload optimization for multi-stage launchers using HJB approach and application to a SSO mission
    Olivier Bokanowski, Eric Bourgeois, Anna Désilles and Hasnaa Zidani
    vol. 50(1), pp. 2904-2910, The 20th IFAC World Congress (Toulouse), 2017       

  7. A Hamilton-Jacobi-Bellman approach for the optimal control of an abort landing problem
    Mohamed Assellaou, Olivier Bokanowski, Anna Désilles and Hasnaa Zidani
    IEEE 55th Conference on Decision and Control (CDC), 2016       

  8. HJB approach for a multi-boost launcher trajectory optimization problem
    Olivier Bokanowski, Eric Bourgeois, Anna Désilles and Hasnaa Zidani
    IFAC Proceedings, vol. 49-17, pp. 456-461, 20th IFAC Symposium on Automatic Control in Aerospace - ACA 2016, Quebec, Canada, 2016       

  9. Collision analysis for a UAV
    Anna Désilles, Eva Crück and Hasnaa Zidani
    AIAA Guidance, Navigation and Control Conference, Minneapolis (USA), 13-16 August. Doi: 10.2514/6.2012-4526, vol. 4526, 23 pages, 2012       

  10. Hamilton-Jacobi-Bellman approach for the climbing problem for multi-stage launchers
    Olivier Bokanowski, Emiliano Cristiani, Julien Laurent-Varin and Hasnaa Zidani
    20th International Symposium on Mathematical Theory of Networks and Systems (MTNS'2012), pp. 8 pages, 2012    

  11. A Stochastic Dynamic Principle for Hybrid Systems with Execution Delay and Decision Lags
    Kamal Aouchich, Frédéric Bonnans, Giovanni Granato and Hasnaa Zidani
    50th IEEE Conference on Decision and Control and European Control Conference (CDC-ECC) Orlando, FL, USA, December 12-15, 2011, pp. 6788-6793, 2011   

  12. HJB approach for motion planning and reachabilty analysis
    Olivier Bokanowski, Anna Désilles and Hasnaa Zidani
    Proceeding of the 5th International ICST Conference on Performance Evaluation Methodologies and Tools (ValueTools'2011), pp. 28--36, 2011   

  13. Minimal time problems with moving targets and obstacles
    Olivier Bokanowski and Hasnaa Zidani
    Proceedings of the 18th IFAC World Congress (Milan), vol. 18, pp. 2589-2593, 2011   

  14. Optimal control problems of BV trajectories with pointwise state constraints
    Nicolas Forcadel, Zhiping Rao and Hasnaa Zidani
    Proceedings of the 18th IFAC World Congress, Milan, vol. 18, pp. 2583-2588, 2011   


V. Patents

  1. Energy management method for an electric vehicle
    Kamal Aouchich, J. Frederic Bonnans, Giovanni Granato, Grégory Rousseau and Hasnaa Zidani
    Patents: EP2790988 (2014-10-22), US2014350763 (2014-11-27), FR2984570 (2013-06-21); WO2013087536 (2013-06-20)
  2. Method for determining the maximum range of a motor vehicle with a plurality of energy sources
    Kamal Aouchich, Giovanni Granato and Hasnaa Zidani
    Patent: FR2988061 (issued on 2013-09-20)
  3. Power management method of an electric vehicle
    Giovanni Granato and Hasnaa Zidani
    Patents: FR2988060 (2013-09-20)
  4. Method for optimal control of a system which can be modelled by Hamilton-Jacobi-Bellman equations
    Giovanni Granato and Hasnaa Zidani
    Patents: FR2947649A1 (2011-01-07); EP2270679A1 (2011-01-05)