UMA Home page for Hasnaa Zidani
Zidani
Hasnaa
OC team
Former member
was: teaching/research
was: teaching/research
Research Habilitation 2010
EMAIL_TEMPLATE
Research activities
My research interests lie in the area of applied mathematics with a particular focus on optimization based methods in control theory and on numerical analysis for Hamilton-Jacobi equations:
Research Programmes:
- Optimal control theory, Hamilton-Jacobi Equations, feedbak control laws
- Numerical methods for front propagation, Numerical analysis and Error estimates theory for first and second order Hamilton-Jacobi equations
- Reachability analysis, motion planning and obstacle avoidance
- optimal control of hybrid systems equations.
Research Programmes:
- Scientific leader of the project iCODE-PGMO project "HJB-EM, Hamilton-Jacobi-Bellman approaches for Energy Management", 2017-2019, collaboration with C. Sagastizabal from IMPA and W. von Ackooij from EDF.
- Scientific leader of the project "Trajectory optimisation for heavy launchers", supported by CNES, 2013-2016 \& 2017-2019, collaboration with O. Bokanowski (Univ. Paris-Diderot), A. Désilles (ENSTA) and E. Bourgeois (CNES).
- General coordinator and scientific leader of the European project SADCO - Sensitivity Analysis for Deterministic Controller Design, (Marie Curie Initial Training Network) FP7-PEOPLE-2010-ITN-264735, Jan 2011 - Dec 2014, (11 academic and industrial partners in 6 countries; 28 Phd and post-doc students).
- Scientific leader of the project "Numerical methods for Hamilton-Jacobi Equations on Stratified Structures", Mar 2014 - Feb 2016, supported by "iCODE Institute project" funded by the IDEX Paris-Saclay, ANR-11-IDEX-0003-02.
- Member of ANR project "HJNet - Hamilton-Jacobi equations in Networks", 2013 - 2015.
- Scientific leader of the project ``Optimal control problems for non-linear systems ", supported by DGA (Direction Générale de l'Armement), 2012-2014 \& 2015-2017.
- Scientific leader of the project ``Energy management for hybrid vehicles'', supported by Renault Technocentre, 2009-2013, collaboration with F. Bonnans (INRIA) and K. Aouchich (Renault).
Teaching activities
- Graduate course on "Optimal Control", at Ensta Paris (also in Master cursus of University Orsay, 2006-2010).
- Graduate course on "Numerical approximations for front propagation problems", Ensta Paris Tech, and also at Ecole Centrale de Paris (with Ch. Chalons).
- Undergraduate course on `` Optimisation'', Ensta Paris
- Responsible of the graduate modulus at Ensta Paris: ``Control of nonlinear systems (84 h)`` since 2009, and ``Operational research (168h)`` from 2002 to 2008.
Other activities
- Deputy leader of the project-team COMMANDS (Inria Saclay, ENSTA Paris, Ecole Polytechnique), from 2007 until dec. 2014.
- Full member at CNU-National Universities Committee (section 26: Applied Mathematics), from 2011 until 2017.
- Member of the groupe SMAI-MODE, since 2016.
- Elected member of the scientific council of " FMJH- Fondation Mathématique Jacques Hadamard", since 2016.
- Full member at CNU-National Universities Committee (section 26: Applied Mathematics), from 2011 until 2017.
- Member of the groupe SMAI-MODE, since 2016.
- Elected member of the scientific council of " FMJH- Fondation Mathématique Jacques Hadamard", since 2016.
Publications
Papers in peer-reviewed journals
- Bi-objective finite horizon optimal control problems with Bolza and maximum running cost
and
submitted
- Deterministic optimal control on Riemannian manifolds under probability knowledge of the initial condition
, and
submitted
- Global Optimization Approach for the Ascent Problem of Multi-stage Launchers
, and
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
- Demand response versus storage flexibility in energy: multi-objective programming considerations
, , and
Journal Optimization, 2020 - Stability and Reachability analysis for a controlled heterogeneous population of cells
and
Optimal Control, Applications & Methods, vol. 41(5), pp. 1678--1704, 2020
- Junction conditions for finite horizon optimal control problems on multi-domains with continuous and discontinuous solutions
, and
ESAIM: Control, Optimisation, and Calculus of Variations, vol. 25(79), pp. 38, 2019 - Pareto Front Characterization for Multiobjective Optimal Control Problems Using Hamilton--Jacobi Approach
and
SIAM J. on Control and Optimization, vol. 57 (6), pp. 3884-3910, SIAM, 2019
- Error estimates for numerical approximation of Hamilton-Jacobi equations related to hybrid control systems
, and
Applied Mathematics & Optimization, 2018 - Infinite Horizon Stochastic Optimal Control Problems with Running Maximum Cost
, and
SIAM J. Control Optim., vol. 56(5), pp. 3296--3319, 2018 - Optimal control of normalized SIMR models with vaccination and treatment
, and
Discrete and Continuous Dynamical Systems - Series B, vol. 23 (1), pp. 79 - 99, 2018 - Solving chance constrained optimal control problems in aerospace via Kernel Density Estimation
, , , and
Optimal Control, Applications and Methods, vol. 39(5), pp. 1818-1832, 2018 - Value function and optimal trajectories for a maximum running cost control problem with state constraints. Application to an abort landing problem.
, , and
ESAIM: Mathematical Modelling and Numerical Analysis (ESAIM: M2AN), vol. 52(1), pp. 305--335, 2018
- Discontinuous solutions of Hamilton-Jacobi equations on networks *
, and
Journal of Differential Equations, vol. 263 (12), pp. 8418-8466, Elsevier, 2017 
- Hamilton-Jacobi-Bellman equations for optimal control processes with convex state constraints
, and
Systems and Control Letters, vol. 109, pp. 30–36, Elsevier, 2017 - The Mayer and Minimum Time Problems with Stratified State Constraints
, and
Set-Valued and Variational Analysis, Springer, 2017
- State-constrained stochastic optimal control problems via reachability approach
, and
SIAM J. on Control and Optimization, vol. 54 (5), pp. 2568–2593, 2016
- Dynamic programming and error estimates for stochastic control problems with maximum cost
, and
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
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DCDS- Serie A, vol. 35(9), pp. 3933 - 3964, 2015 - Infinite horizon problems on stratifiable state-constraints sets
and
Journal of Differential Equations, vol. 258(4), pp. 1420--1460, 2015 - Monotone numerical schemes and feedback construction for hybrid control systems
and
J. of Optimization Theory and Applications, vol. 165(2), pp. 507-531, 2015 - Optimal feedback control of undamped wave equations by solving a HJB equation
, and
ESAIM: Control, Optimisation, and Calculus of Variations, vol. 21(2), pp. 442 - 464, 2015 - Value iteration convergence of ℇ-monotone schemes for stationary Hamilton-Jacobi equations
, , , , and
Discrete and Continuous Dynamical Systems - Serie A, vol. 35(9), pp. 4041 - 4070, 2015 - Zubov's equation for state-constrained perturbed nonlinear systems
and
Mathematical Control and Related Fields, vol. 5(1), pp. 55 - 71, 2015
- Level-set approach for Reachability Analysis of Hybrid Systems under Lag Constraints
and
SIAM J. Control and Optim., vol. 52, pp. 606-628, 2014 - Transmission conditions on interfaces for Hamilton-Jacobi-Bellman equations
, and
Journal of Differential Equations, vol. 257(11), pp. 3978--4014, 2014
- A Hamilton-Jacobi approach to junction problems and application to traffic flows
, and
ESAIM: Control, Optimisation, and Calculus of Variations., vol. 19(01), pp. 129--166, 2013 - A general Hamilton-Jacobi framework for nonlinear state-constrained control problems
, and
ESAIM: Control, Optimisation, and Calculus of Variations., vol. 19(2), pp. 337--357, 2013 - State-Constrained Optimal Control Problems of Impulsive Differential Equations
, and
Applied Mathematics & Optimization, vol. 68, pp. 1--19, 2013
- Approximation schemes for monotone systems of nonlinear second order partial differential equations: convergence result and error estimate
, and
Differential Equations and Applications, vol. 4, pp. 297--317, 2012
- Characterisation of the value function of final state constrained control problems with BV trajectories
and
Communication in Pure and Applied Analysis., vol. 10(6), pp. 1567-1587, 2011 [
] - Deterministic state constrained optimal control problems without controllability assumptions
, and
ESAIM: Control, Optimisation and Calculus of Variations., vol. 17(04), pp. 975--994, 2011 [ ]
- An efficient data structure and accurate scheme to solve front propagation problems
, and
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
, and
Numerische Mathematik., vol. 115(1), pp. 1--44, 2010 [ ] - L¹-error estimates for numerical approximations of Hamilton-Jacobi-Bellman equations in dimension 1
, and
Mathematics of Computation., vol. 79(271), pp. 1395--1426, 2010 [ ] - Reachability and minimal times for state constrained nonlinear problems without any controllability assumption
, and
SIAM J. Control and Optimization., vol. 48(7), pp. 4292-4316, 2010 [ ]
- Minumum time control problems for non autonomous differential equations
, and
Systems and Control Letters, vol. 58(10-11), pp. 742-746, 2009 - Numerical approximation for a superreplication problem under gamma constraints
, , and
SIAM. J. of Num. Analysis., vol. 47(3), pp. 2289-2320, 2009 [ ] - Some convergence results for Howard's algorithm
, and
SIAM J. of Num. Analysis., vol. 47(4), pp. 3001--3026, 2009 [ ]
- Anti-dissipative schemes for advection and application to Hamilton-Jacobi-Bellman equations
and
J. Sci. Computing, vol. 30(1), pp. 1--33, 2007 [ ] - Error estimates for a stochastic impulse control problem
, and
Applied. Math. and Optimisation, vol. 55-3, pp. 327--357, 2007 [ ]
- A method for optimal control problems : an adaptative antidissipative method for optimal control problems
, and
Revue Africaine de la Recherche en Informatique et Mathématiques Appliquées, vol. 5, pp. 256-271, 2006 - An anti-diffusive scheme for viability problems
, , and
Applied Numerical Methematics, vol. 56(9), pp. 1147--1162, 2006 [ ] - Error estimates for stochastic differential game: the adverse stopping case
, and
IMA Journal of Numerical Analysis, vol. 28, pp. 188-212, 2006 [ ]
- Consistency of a simple multidimensional scheme for Hamilton–Jacobi–Bellman equations
and
Comptes Rendus Mathematique, vol. 340(7), pp. 499–502, apr, 2005 [ ]
- A fast algorithm for the two dimensional HJB equation of stochastic control
, and
ESAIM: Mathematical Modelling and Numerical Analysis, vol. 38(4), pp. 723-735, 2004 [ ] - Parametric optimization of hybrid car engines
, , , and
Optimization and Engineering, vol. 5(4), pp. 395-415, dec, 2004
- Consistency of Generalized Finite Difference Schemes for the Stochastic HJB Equation
and
SIAM Journal on Numerical Analysis, vol. 41(3), pp. 1008-1021, 2003 [ ] - Discrete approximation for a class of the Hamilton-Jacobi equation for an optimal control problem of a differential-algebraic system
, and
Control and Cybernetics, vol. 32-1, pp. 33-55, 2003
- A fully Discrete Approximation for a Control Problem of Parabolic Variational Inequalities
and
SIAM Journal on Numerical Analysis, vol. 39(6), pp. 2014-2033, 2002 [ ]
- Pontryagin Principle for Local Solutions of Control Problems with mixed State Control Constraints
, and
SIAM J. Control and Optimization, vol. 39-4, pp. 1182--1203, 2000 [ ] - Time optimal problems with boundary controls
and
Differential and Integral Equations, vol. 13(7-9), pp. 1039--1072, 2000 [ ]
- Hamiltonian Pontryagin's Principles for Control Problems Governed by Semilinear Parabolic Equations
and
Applied Mathematics and Optimization, vol. 39 (2), pp. 143-177, 1999 [ ] - On the minimization of the energy of a free-electron gas with constrained density function
, and
Nonlinear Analysis, Theory, Methods and Applications, vol. 35 (8), pp. 1073-1090, 1999 - Optimal control problems with partially polyhedric constraints
and
SIAM J. on Control and Optimization, vol. 37(6), pp. 1726--1741, 1999 [ ] - Pontryagin maximum principle for optimal control of variational inequalities
and
SIAM J. on Control and Optimization, vol. 37 (4), pp. 1273-1290, 1999 [ ] - Pontryagin's principle for time-optimal problems
and
J. Optimization Theory and Applications, vol. 101(2), pp. 375--402, 1999
- Pontryagin's principle for state-constrained control problems governed by parabolic equations with unbounded controls
and
SIAM J. on Control and Optimization, vol. 36(6), pp. 1853--1879, 1998 [ ]
Chapters
- Hamilton-Jacobi-Bellman Equations on Multi-Domains
and
Control and Optimization with PDE Constraints, International Series of Numerical Mathematics, vol. 164, pp. 93-116, Birkhäuser Basel, 2013
- Characterization of consistency of some numerical schemes for the stochastic HJB equation
and
Contrôle optimal et EDP - Innovations et Applications'', Ed. J.L. Menaldi et al, IOS Presse, 2000
- Optimal Control Problem Governed by Semilinear Elliptic Equations with Integral Control Constraints and Pointwise State Constraints
, and
Inter. Series. of Num. Math., W. Desch and F. Kappel Eds., Birkhaüser-Verlag, 1998
- Optimal Control Problem Governed by a Semilinear Parabolic Equation
and
System Modelling and Optimization, J. Dolezal and J. Fiedler Eds., Chapman and Hall, p. 211-217, 1996, pp. 211--217, J. Dolezal and J. Fiedler Eds., Chapman and Hall, 1996
Edited book
- Special issue on New trends in optimal control
, , , and
Discrete Contin. Dyn. Syst., vol. 35(9), AIMS, 2015
International conferences with proceedings
- A Mayer optimal control problem on Wasserstein spaces over Riemannian manifolds
, and
IFAC-PapersOnLine, vol. 55 (16), pp. 44-49, Elsevier, 2022
- Optimization of the launcher ascent trajectory leading to the global optimum without any initialization: the breakthrough of the HJB approach
, , and
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
- A maximum principle for a special optimal multiprocess problem with state constraints
and
pp. 1566-1571, IEEE, Proceeding of the "11th Asian Control Conference (ASCC)", 2017 - New improvements in the optimization of the launcher ascent trajectory through the HJB approach
, , and
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
, , and
vol. 50(1), pp. 2904-2910, The 20th IFAC World Congress (Toulouse), 2017
- A Hamilton-Jacobi-Bellman approach for the optimal control of an abort landing problem
, , and
IEEE 55th Conference on Decision and Control (CDC), 2016, dec, 2016 - HJB approach for a multi-boost launcher trajectory optimization problem
, , and
IFAC Proceedings, vol. 49-17, pp. 456-461, 20th IFAC Symposium on Automatic Control in Aerospace - ACA 2016, Aug 2016, Sherbrooke, Quebec, Canada., 2016
- Collision analysis for a UAV
, and
AIAA Guidance, Navigation and Control Conference, Minneapolis (USA), 13-16 August. Doi: 10.2514/6.2012-4526, vol. Chapt. 4526, pp. 23 pages, 2012 - Hamilton-Jacobi-Bellman approach for the climbing problem for multi-stage launchers
, , and
pp. 8 pages, 20th International Symposium on Mathematical Theory of Networks and Systems (MTNS'2012), 2012
- A Stochastic Dynamic Principle for Hybrid Systems with Execution Delay and Decision Lags
, , and
50th IEEE Conference on Decision and Control and European Control Conference (CDC-ECC) Orlando, FL, USA, December 12-15, 2011, pp. 6788-6793, 2011 - HJB approach for motion planning and reachabilty analysis
, and
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
and
Proceedings of the 18th IFAC World Congress. Doi: 10.3182/20110828-6-IT-1002.02261, vol. 18, pp. 2589-2593, 2011 - Optimal control problems of BV trajectories with pointwise state constraints
, and
Proceedings of the 18th IFAC World Congress, Milan. Doi: 10.3182/20110828-6-IT-1002.01694, vol. 18, pp. 2583-2588, 2011
Conferences without proceedings
- Hamilton-Jacobi approach for multi-objective problems
International Workshop on "Optimal Control of Dynamical Systems" (Invited speaker), Mariatrost, Graz (Austria), May 15-19, 2017
- Value function and optimal trajectories for a control problem with supremum cost function and state constraints
Workshop "Numerical methods for Hamilton-Jacobi equations in optimal control and related fields" (Invited speaker), RICAM Institute, Linz (Austria), November 21-25, 2016
- NETCO - "New Trends on Optimal Control" - June 23-27, 2014.
H. Zidani (co-Organizer: Head Of The Organizing Committee & Member Of The Scientific Committee). This event is organised by the European ITN SADCO Project, with the participation of the French HJ-Net ANR project, 2014 - Optimal control problems on generalized networks (Invited speaker)
Workshop on "Geometric control and related fields", Special Semester on New Trends in Calculus of Variations, RICAM Institute, Linz (Austria), November 17-21, 2014 - Recent Advances in the Numerical Analysis of Optimal Hybrid Control Problems
, and
MTNS 2014 (Groningen), jul, 2014
- Collision avoidance for UAVs
Portuguese Meeting on Optimal Control, EPCO'2013 (invited talk), FEUP, Porto, February 7-8, 2013
- Organisation d'une session "Optimal control in constrained domains"
and
12th Viennese Workshop on Optimal Control, Dynamic Games and Nonlinear Dynamics, Wien (Austria), May 30th - June 2nd, 2012, 2012 - Organisation de 4 sessions "Optimisation-based controller design"
and
20th International Symposium on Mathematical Theory of Networks and Systems, Melbourne, 9-13 July, 2012 - Organisation de la session "Policy iteration algorithms and some applications"
21th International Symposium on Mathematical Programming (ISMP'2012), 2012 - Organisation de la session "Differential games and engineering applications"
and
12th Viennese Workshop on Optimal Control, Dynamic Games and Nonlinear Dynamics, Wien, May 30th - June 2nd, 2012, 2012
- Hamilton-Jacobi approach in singular domains
International Workshop on "Control and Optimization of PDEs", Mariatrost, October 10-14, 2011 (invited speaker), 2011
- State-constrained control problems lacking controllability assumptions
9th Brazilian Conference on Dynamics, Control and Their Applications - Dincon'2010 (keynote speaker), 2010
- Minisymposium "Sensitivity Analysis of deterministic control systems : theory, numerical methods and applications"
organisé dans le cadre de la conférence "14 th Belgian-French-German Conference on Optimization". Leuven, September 14-18, 2009
- Aerospatial dynamics and Optimal Control
, and
ENSTA, 23 May, 2008 - Approximation numérique d'un probléme de sur-couverture
Congrès SM2A, Rabat, 6--8 February, 2008 - Ecole CEA-EDF-INRIA "Numerical methods for Hamilton-Jacobi equations and hyperbolic conservation laws"
, and
INRIA Rocquencourt, 15--19 September 2008, 2008 - Some theoretical and numerical results for Howard's algorithm.
Rencontres MATH-Amsud, 4-6 Novembre, Lima, 2008
- A fast anti-dissipative method for the minimal time problem. Application to atmospheric re-entry
, et
CODE-2007: Conférence de la SMAI sur l'Optimisation et la Décision. Paris, avr 2007 - A super-linear convergence result for Howard algorithm
, and
Second European Conference on Computational Optimization, Montpellier (France), apr, 2007 - An efficient implementation of arrow Band methods for Hamilton-Jacobi-Bellman equations
, and
Introduction to numerical methods for moving boundaries, nov, 2007 - Approximation numérique pour un problème de sur-couverture
, , et
Conférence de la SMAI sur l'Optimisation et la Décision, Paris (France), avr 2007
- A fast anti-dissipative method for the atmospheric re-entry problem
, and
New trends in viscosity solutions and non linear PDE's. Lisboa, jul, 2006 - Analyse numérique pour un problème de sur-couverture en finance
, , and
Journée "Théorie du contrôle", Université de Orsay, France, Décembre 2006., 2006 - Error estimate for a stochastic impulse control problem
, and
Conference on Numerical Methods in Finance, INRIA Rocquencourt, France, Février, feb, 2006 - Numerical analysis for super-replication problems
, , and
New trends in viscosity solutions and non-linear PDE, Lisboa, Portugal, July 2006, 2006
- An adaptative anti-dissipative method for optimal control problems (poster)
, and
2nd Congrès National de Mathématiques Appliquées. Evian, may, 2005 - Error estimate for a stochastic impulse control problem
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Conference on Opimization under Uncertainties, Université de Heidelberg, Allemagne, September, 2005 - Error estimates for a stochastic differential game
, and
22nd IFIP, Conference on System Modeling and Optimization, Ecole Polytechnique de Turin, Italie, Juillet, jul, 2005 - Estimation d'erreur pour un problème de contrôle impulsionnel
, et
2ème Congrès National des Mathématiques Appliquées, Evian, France, Mai, mai 2005 - Invitation au mini-symposium "Level-set methods, Hamilton-Jacobi equations and applications"
The sixth European Conference on Numerical Mathematics and Advanced Applications (ENUMATH'05), Santiago de Compostele, Spain. July 18-25 2005, jul, 2005 - Méthodes numériques pour les équations HJB Stochastiques
8èmes Journées d'Analyse Numérique et Optimisation (JANO'08), 14-16 Décembre 2005 à Rabat, 2005 - Numerical mathods for HJB equations and error estimates
, and
Conference on Optimization Frameworks for Industrial Applications, EDF, Paris, France, Octobre, oct, 2005 - Résolution des équations HJB déterministes par le schéma ultrabee sur des grilles adaptatives
, et
Tendances des mathématiques appliquées en Tunisie, Algérie, Maroc. Tunis, avr 2005 - Ultra bee scheme on adaptative grids. Application to optimal control problems
, and
22nd IFIP TC 7 Conference on System Modeling and Optimization. Turin, jul, 2005
- Poster: Stochastic differential game: the adverse stopping case
, and
FGS-2004, Université d'Avignon, France, Septembre, sep, 2004 - Stochastic differential game: the adverse stopping case
, and
Numerical methods for viscosity solutions and applications, Université La Sapienza, Rome, Italie, Septembre, sep, 2004
- Chaînes de Markov consistantes pour les équations HJB stochastiques. (Conférencier invité)
Colloque PICOF'02 Carthage - Tunisie, 10-12 avril 2002., 2002 - Consistency conditions of Finite Difference Schemes for the Stochastic HJB Equation,
French German Polish Conference on Optimization, Cottbus - September 9-13 2002., sep, 2002
Research reports
- Couplage des approches HJB et PMP pour une mission de Ariane (GTO)
, , et
Rapport de recherche CNES: RT-NT-431-ZZ-1002-INRI, nov 2010 - Hamilton-Jacobi approach for the climbing problem of multi-stage launchers
, , and
hal-00537649, 2010 [ ] - Optimisation de trajectoire incluant des phases balistiques pour le lanceur Ariane V
, and
Rapport de recherche CNES: RT-NT-431-ZZ-1001-INRI, pp. 1-- 30, sep, 2010
- Theoretical and numerical study of HJB approach for space launcher problems
, , and
Rapport CNES, RT-NT-4311200-ZZ-805-CNES, pp. 1-33, dec, 2008
- An adaptative antidissipative method for optimal control problems
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Rapport de recherche INRIA, R5770, 2005 - Error estimate for a stochastic impulse control problem
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Rapport de Recherche INRIA, RR-5606, Juin, jun, 2005
- Error estimates for stochastic differential games: the adverse stopping case
, and
Rapport de recherche INRIA, RR-5441, 2004
Lecture note
- Optimisation quadratique
et
Cours de 1ère année, 109 pages, ENSTA, 2007
Patents
- Energy management method for an electric vehicle
, , , and
Famille de brevets: EP2790988 (2014-10-22), US2014350763 (2014-11-27), FR2984570 (2013-06-21); WO2013087536 (2013-06-20), 2013 - Method for determining maximum mileage range of electric vehicle, involves determining moment at which state of change of battery tends to zero following evolution of energy state of vehicle along trajectory
, and
Référence du brevet: FR2988061 (2013-09-20), 2013 - PROCEDE DE GESTION DENERGIE DUN VEHICULE ELECTRIQUE
et
Référence du brevet: FR2988060 (2013-09-20), 2013