Publications

Papers in peer-reviewed journals

2021

• 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 HPSC 2018. Springer, Cham., pp. 1--42, Bock H.G., Jäger W., Kostina E., Phu H.X. (eds), 2021   

2018

• 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   

2016

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

2015

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

2013

• 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   
• An adaptive sparsegrid semi-Lagrangian scheme for front propagation.
  Olivier Bokanowski, J Garcke, M Griebel and I Klompmaker
  J. Scient. Comput., vol. 55, pp. 575–605, 2013   

2011

• 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    [ ]   

2010

• 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    [ ]   
• 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    [ ]   
• 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    [ ]   
• 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    [ ]   

2009

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

2007

• 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    [ ]   

2006

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

1999

• 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   

Paper in non peer-reviewed journals

2013

• A discontinuous Galerkin scheme for front propagation with obstacles
  Olivier Bokanowski
  Numerische Mathematik, 2013   

International conferences with proceedings

2018

• 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, Selected paper at the "6th European Conference for Aeronautics and Space Sciences - EUCASS", June 2015, Kraków, Poland., 2018   

2017

• 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   
• 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   

2016

• 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, dec, 2016   
• 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, Aug 2016, Sherbrooke, Quebec, Canada., 2016   

2012

• Hamilton-Jacobi-Bellman approach for the climbing problem for multi-stage launchers
  Olivier Bokanowski, Emiliano Cristiani, Julien Laurent-Varin and Hasnaa Zidani
  pp. 8 pages, 20th International Symposium on Mathematical Theory of Networks and Systems (MTNS'2012), 2012   
• Reachability for state constrained stochastic control problems
  Olivier Bokanowski and Athena Picarelli
  MTNS, jul, 2012   

2011

• 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   
• Minimal time problems with moving targets and obstacles
  Olivier Bokanowski and Hasnaa Zidani
  Proceedings of the 18th IFAC World Congress. Doi: 10.3182/20110828-6-IT-1002.02261, vol. 18, pp. 2589-2593, 2011   

Conferences without proceedings

2007

• A super-linear convergence result for Howard algorithm
  Olivier Bokanowski, Stefania Maroso and Hasnaa Zidani
  Second European Conference on Computational Optimization, Montpellier (France), apr, 2007   
• An efficient implementation of arrow Band methods for Hamilton-Jacobi-Bellman equations
  Olivier Bokanowski, Emiliano Cristiani and Hasnaa Zidani
  Introduction to numerical methods for moving boundaries, nov, 2007   
• Approximation numérique pour un problème de sur-couverture
  Olivier Bokanowski, B. Bruder, Stefania Maroso et Hasnaa Zidani
  Conférence de la SMAI sur l'Optimisation et la Décision, Paris (France), avr 2007   

2006

• A fast anti-dissipative method for the atmospheric re-entry problem
  Olivier Bokanowski, Nadia Megdich and Hasnaa Zidani
  New trends in viscosity solutions and non linear PDE's. Lisboa, jul, 2006   
• Analyse numérique pour un problème de sur-couverture en finance
  Olivier Bokanowski, Benjamin Bruder, Stefania Maroso and Hasnaa Zidani
  Journée "Théorie du contrôle", Université de Orsay, France, Décembre 2006., 2006   

Research reports

2010

• Couplage des approches HJB et PMP pour une mission de Ariane (GTO)
  Olivier Bokanowski, Pierre Martinon, Julien Laurent-Varin et Hasnaa Zidani
  Rapport de recherche CNES: RT-NT-431-ZZ-1002-INRI, nov 2010   
• Hamilton-Jacobi approach for the climbing problem of multi-stage launchers
  Olivier Bokanowski, Emiliano Cristiani, Julien Laurent-Varin and Hasnaa Zidani
  hal-00537649, 2010    [ ]   
• Optimisation de trajectoire incluant des phases balistiques pour le lanceur Ariane V
  Olivier Bokanowski, Julien Laurent-Varin and Hasnaa Zidani
  Rapport de recherche CNES: RT-NT-431-ZZ-1001-INRI, pp. 1-- 30, sep, 2010   

2008

• Theoretical and numerical study of HJB approach for space launcher problems
  Olivier Bokanowski, Emiliano Cristiani, Julien Laurent-Varin and Hasnaa Zidani
  Rapport CNES, RT-NT-4311200-ZZ-805-CNES, pp. 1-33, dec, 2008   

2005

• An adaptative antidissipative method for optimal control problems
  Olivier Bokanowski, Nadia Megdich and Hasnaa Zidani
  Rapport de recherche INRIA, R5770, 2005