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Hasnaa Zidani

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VISCOSITY SOLUTIONS OF HAMILTON-JACOBI EQUATIONS IN PROPER CAT(0) SPACES

Othmane Jerhaoui , Hasnaa Zidani
Journal of Geometric Analysis, 2024, 34 (2), pp.53. ⟨10.1007/s12220-023-01484-7⟩
Journal articles hal-03899199v1
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RELATIONSHIP BETWEEN THE MAXIMUM PRINCIPLE AND DYNAMIC PROGRAMMING FOR MINIMAX PROBLEMS

Cristopher Hermosilla , Hasnaa Zidani
Applied Mathematics and Optimization, 2023, 87 (2), pp.34. ⟨10.1007/s00245-022-⟩
Journal articles hal-03890875v1
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A General Comparison Principle for Hamilton Jacobi Bellman Equations on Stratified Domains

Othmane Jerhaoui , Hasnaa Zidani
ESAIM: Control, Optimisation and Calculus of Variations, 2023, 29, ⟨10.1051/cocv/2022089⟩
Journal articles hal-03408797v2
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Deterministic optimal control on Riemannian manifolds under probability knowledge of the initial condition

Frédéric Jean , Othmane Jerhaoui , Hasnaa Zidani
SIAM Journal on Mathematical Analysis, inPress
Journal articles hal-03564787v2
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A Differential game control problem with state constraints

Nidhal Gammoudi , Hasnaa Zidani
Mathematical Control and Related Fields, 2022, ⟨10.1016/j.camwa.2022.01.016⟩
Journal articles hal-03548076v1
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Optimistic Planning Algorithms For State-Constrained Optimal Control Problems

Olivier Bokanowski , Nidhal Gammoudi , Hasnaa Zidani
Computers & Mathematics with Applications, 2022, 109 (1), pp.158-179. ⟨10.1016/j.camwa.2022.01.016⟩
Journal articles hal-03283075v2
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Relationship Between Maximum Principle and Dynamic Programming in presence of Intermediate and Final State Constraints

Olivier Bokanowski , Anya Désilles , Housnaa Zidani
ESAIM: Control, Optimisation and Calculus of Variations, inPress, ⟨10.1051/cocv/2021084⟩
Journal articles hal-03079781v2
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Stability and Reachability analysis for a controlled heterogeneous population of cells

Cécile Carrère , Hasnaa Zidani
Optimal Control Applications and Methods, 2020, 41, pp.1678-1704
Journal articles hal-01978686v2

Demand response versus storage flexibility in energy: multi-objective programming considerations

Wim van Ackooij , Ana Paula Chorobura , Claudia Sagastizábal , Hasnaa Zidani
Optimization, 2020, pp.1-28. ⟨10.1080/02331934.2020.1732373⟩
Journal articles hal-02495776v1

Pareto Front Characterization for Multiobjective Optimal Control Problems Using Hamilton--Jacobi Approach

Anna Desilles , Hasnaa Zidani
SIAM Journal on Control and Optimization, 2019, 57 (6), pp.3884-3910. ⟨10.1137/18M1176993⟩
Journal articles hal-02383727v1
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Error estimates for numerical approximation of Hamilton-Jacobi equations related to hybrid control systems

Roberto Ferretti , Achille Sassi , Hasnaa Zidani
Applied Mathematics and Optimization, 2018, ⟨10.1007/s00245-018-9515-8⟩
Journal articles hal-01617686v1
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Junction conditions for finite horizon optimal control problems on multi-domains with continuous and discontinuous solutions

Daria Ghilli , Zhiping Rao , Hasnaa Zidani
ESAIM: Control, Optimisation and Calculus of Variations, 2018, ⟨10.1051/cocv/2018072⟩
Journal articles hal-01517505v1
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Infinite Horizon Stochastic Optimal Control Problems with Running Maximum Cost

Axel Kröner , Athena Picarelli , Hasnaa Zidani
SIAM Journal on Control and Optimization, 2018, 56 (5), pp.3296-3319. ⟨10.1137/17M115253X⟩
Journal articles hal-01585766v3
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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 , Hasnaa Zidani
ESAIM: Mathematical Modelling and Numerical Analysis, 2018, 52 (1), pp.305--335. ⟨10.1051/m2an/2017064⟩
Journal articles hal-01484190v1
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Optimal control of normalized SIMR models with vaccination and treatment

Maria Do Rosário De Pinho , Helmut Maurer , Hasnaa Zidani
Discrete and Continuous Dynamical Systems - Series B, 2018, 23 (1), pp.79 - 99. ⟨10.3934/dcdsb.2018006⟩
Journal articles hal-01627412v1
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Solving chance constrained optimal control problems in aerospace via Kernel Density Estimation

Jean-Baptiste Caillau , Max Cerf , Achille Sassi , Emmanuel Trélat , Hasnaa Zidani
Optimal Control Applications and Methods, 2018, 39 (5), pp.1833-1858. ⟨10.1002/oca.2445⟩
Journal articles hal-01507063v1

Hamilton-Jacobi-Bellman equations for optimal control processes with convex state constraints

Cristopher Hermosilla , Richard Vinter , Hasnaa Zidani
Systems and Control Letters, 2017, 109, pp.30-36
Journal articles hal-01619018v1
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Discontinuous solutions of Hamilton-Jacobi equations on networks *

Philip Jameson Graber , Cristopher Hermosilla , Hasnaa Zidani
Journal of Differential Equations, 2017, 263 (12), pp.8418-8466. ⟨10.1016/j.jde.2017.08.040⟩
Journal articles hal-01363628v1
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The Mayer and Minimum Time Problems with Stratified State Constraints *

C. Hermosilla , P.R. Wolenski , Hasnaa Zidani
Set-Valued and Variational Analysis, 2017, ⟨10.1007/s11228-017-0413-z⟩
Journal articles hal-01517510v1
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State-constrained stochastic optimal control problems via reachability approach

Olivier Bokanowski , Athena Picarelli , Hasnaa Zidani
SIAM Journal on Control and Optimization, 2016, 54 (5), pp.2568-2593. ⟨10.1137/15M1023737⟩
Journal articles hal-01287013v1

Special issue on New trends in optimal control

Jean-Baptiste Caillau , Lars Grüne , Maria Do Rosário de Pinho , Emmanuel Trélat , Hasnaa Zidani
Discrete and Continuous Dynamical Systems - Series A, 2015, Special issue on New trends in optimal control, 35 (9), pp. i - iv ⟨10.3934/dcds.2015.35.9i⟩
Journal articles hal-01277412v1
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Dynamic Programming and Error Estimates for Stochastic Control Problems with Maximum Cost

Olivier Bokanowski , Athena Picarelli , Hasnaa Zidani
Applied Mathematics and Optimization, 2015, 71 (1), pp.125--163. ⟨10.1007/s00245-014-9255-3⟩
Journal articles hal-00931025v2
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Error Estimates for Second Order Hamilton-Jacobi-Bellman Equations. Approximation of Probabilistic Reachable Sets

Mohamed Assellaou , Olivier Bokanowski , Hasnaa Zidani
Discrete and Continuous Dynamical Systems - Series A, 2015, 35 (9), pp.3933 - 3964. ⟨10.3934/dcds.2015.35.3933⟩
Journal articles hal-00998371v2
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Infinite horizon problems on stratifiable state-constraints sets

Cristopher Hermosilla , Hasnaa Zidani
Journal of Differential Equations, 2015, 258 (4), pp.1430-1460. ⟨10.1016/j.jde.2014.11.001⟩
Journal articles hal-00955921v2
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Monotone numerical schemes and feedback construction for hybrid control systems

Roberto Ferretti , Hasnaa Zidani
Journal of Optimization Theory and Applications, 2015, 165 (2), pp.507-531. ⟨10.1007/s10957-014-0637-0⟩
Journal articles hal-00989492v2
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Value iteration convergence of "-monotone schemes for stationary Hamilton-Jacobi equations

Olivier Bokanowski , Maurizio Falcone , Roberto Ferretti , Lars Grüne , Dante Kalise
Discrete and Continuous Dynamical Systems - Series A, 2015, 35 (9), pp.4041 - 4070. ⟨10.3934/dcds.2015.35.4041⟩
Journal articles hal-00989495v1
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Zubov's equation for state-constrained perturbed nonlinear systems

Lars Grüne , Hasnaa Zidani
Mathematical Control and Related Fields, 2015, 5 (1), pp.55-71. ⟨10.3934/mcrf.2015.5.55⟩
Journal articles hal-00931028v1
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Optimal feedback control of undamped wave equations by solving a HJB equation

Axel Kröner , Karl Kunisch , Hasnaa Zidani
ESAIM: Control, Optimisation and Calculus of Variations, 2014, 21 (2), pp.442 - 464. ⟨10.1051/cocv/2014033⟩
Journal articles hal-00924089v1
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Transmission conditions on interfaces for Hamilton-Jacobi-Bellman equations

Zhiping Rao , Antonio Siconolfi , Hasnaa Zidani
Journal of Differential Equations, 2014, 257 (11), pp.3978--4014. ⟨10.1016/j.jde.2014.07.015⟩
Journal articles hal-00820273v1
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Level-set approach for Reachability Analysis of Hybrid Systems under Lag Constraints

Giovanni Granato , Hasnaa Zidani
SIAM Journal on Control and Optimization, 2014, 52 (1), pp.606--628. ⟨10.1137/120874205⟩
Journal articles hal-00735724v2
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A general Hamilton-Jacobi framework for nonlinear state-constrained control problems

Albert Altarovici , Olivier Bokanowski , Hasnaa Zidani
ESAIM: Control, Optimisation and Calculus of Variations, 2013, 19 (2), pp.337--357. ⟨10.1051/cocv/2012011⟩
Journal articles hal-00653337v3
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A Hamilton-Jacobi approach to junction problems and application to traffic flows

Cyril Imbert , Régis Monneau , Hasnaa Zidani
ESAIM: Control, Optimisation and Calculus of Variations, 2013, 19 (01), pp 129-166. ⟨10.1051/cocv/2012002⟩
Journal articles hal-00569010v3
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State-constrained Optimal Control Problems of Impulsive Differential Equations

Nicolas Forcadel , Zhiping Rao , Hasnaa Zidani
Applied Mathematics and Optimization, 2013, 68, pp.1--19. ⟨10.1007/s00245-013-9193-5⟩
Journal articles hal-00653671v2
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Approximation Schemes for Monotone Systems of Nonlinear Second Order Partial Differential Equations: Convergence Result and Error Estimate

Ariela Briani , Fabio Camilli , Hasnaa Zidani
Differential Equations and Applications, 2012, 4, pp.297-317. ⟨10.7153/dea-04-18⟩
Journal articles inria-00627520v1
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Characterization of the value function of final state constrained control problems with BV trajectories

Ariela Briani , Hasnaa Zidani
Communications on Pure and Applied Mathematics, 2011, 10 (6), pp.1567-1587. ⟨10.3934/cpaa.2011.10.1567⟩
Journal articles inria-00627518v1
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Deterministic state constrained optimal control problems without controllability assumptions

Olivier Bokanowski , Nicolas Forcadel , Hasnaa Zidani
ESAIM: Control, Optimisation and Calculus of Variations, 2011, 17 (4), pp. 995-1015. ⟨10.1051/cocv/2010030⟩
Journal articles hal-00415953v2
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Reachability and minimal times for state constrained nonlinear problems without any controllability assumption

Olivier Bokanowski , Nicolas Forcadel , Hasnaa Zidani
SIAM Journal on Control and Optimization, 2010, 48 (7), pp. 4292-4316
Journal articles hal-00395589v1
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L^1-error estimate for numerical approximations of Hamilton-Jacobi-Bellman equations in dimension 1.

Olivier Bokanowski , Nicolas Forcadel , Hasnaa Zidani
Mathematics of Computation, 2010, 79 (271), pp.1395--1426
Journal articles inria-00267644v1
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Convergence of a non-monotone scheme for Hamilton-Jacobi-Bellman equations with discontinuous data

Olivier Bokanowski , Nadia Megdich , Hasnaa Zidani
Numerische Mathematik, 2010, 115 (1), pp.1--44. ⟨10.1007/s00211-009-0271-1⟩
Journal articles inria-00193157v1
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An efficient data structure to solve front propagation problems

Olivier Bokanowski , Emiliano Cristiani , Hasnaa Zidani
Journal of Scientific Computing, 2010, 42 (2), pp.251--273. ⟨10.1007/s10915-009-9329-6⟩
Journal articles inria-00273977v2
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Numerical approximation for a superreplication problem under gamma constraints

Benjamin Bruder , Olivier Bokanowski , Stefania Maroso , Hasnaa Zidani
SIAM Journal on Numerical Analysis, 2009, 47 (3), pp.2289-2320. ⟨10.1137/080725222⟩
Journal articles hal-00278077v1
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Some convergence results for Howard's algorithm

Olivier Bokanowski , Stefania Maroso , Hasnaa Zidani
SIAM Journal on Numerical Analysis, 2009, 47 (4), pp.3001--3026. ⟨10.1007/s00245-006-0865-2⟩
Journal articles inria-00179549v1
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Minimum time control problems for non autonomous differential equations

Olivier Bokanowski , Ariela Briani , Hasnaa Zidani
Systems and Control Letters, 2009, 58 (10-11), pp.742-746. ⟨10.1016/j.sysconle.2009.08.003⟩
Journal articles hal-00387803v2

Error estimates for a stochastic impulse control problem

Frédéric Bonnans , Stefania Maroso , Hasnaa Zidani
Applied Mathematics and Optimization, 2007, 55 (3), pp.327-357. ⟨10.1007/s00245-006-0865-2⟩
Journal articles hal-00849555v1

Anti-dissipative schemes for advection and application to Hamilton-Jacobi-Bellmann equations

Olivier Bokanowski , Hasnaa Zidani
Journal of Scientific Computing, 2007, 30 (1), pp.1-33. ⟨10.1007/s10915-005-9017-0⟩
Journal articles hal-00878221v1

Error estimates for stochastic differential game: the adverse stopping case

Frédéric Bonnans , Stefania Maroso , Hasnaa Zidani
IMA Journal of Numerical Analysis, 2006, 28, pp.188-212. ⟨10.1093/imanum/dri034⟩
Journal articles hal-00979003v1
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A method for optimal control problems

Olivier Bokanowski , Nadia Megdich , Hasnaa Zidani
Revue Africaine de Recherche en Informatique et Mathématiques Appliquées, 2006, Volume 5, Special Issue TAM TAM'05, november 2006, pp.256-271. ⟨10.46298/arima.1867⟩
Journal articles hal-01263431v1

An anti-diffusive scheme for viability problems

O. Bokanowski , S. Martin , Rémi Munos , H. Zidani
Applied Numerical Mathematics, 2006, 56 (9), pp.1147-1162. ⟨doi:10.1016/j.apnum.2006.03.004⟩
Journal articles hal-02588366v1
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An anti-diffusive scheme for viability problems

Olivier Bokanowski , Sophie Martin , Rémi Munos , Hasnaa Zidani
Applied Numerical Mathematics, 2006, 56 (9), pp.1147-1162
Journal articles hal-00112062v2

Consistency of a simple multidimensional scheme for Hamilton-Jacobi-Bellman equations

Remi Munos , Hasnaa Zidani
Comptes Rendus. Mathématique, 2005, 340 (7), pp.499-502. ⟨10.1016/j.crma.2005.02.001⟩
Journal articles hal-00983347v1

Parametric optimization of hybrid car engines

Frédéric Bonnans , Ahmed Ketfi-Cherif , Dirk von Wissel , Claudia Sagastizábal , Hasnaa Zidani
Optimization and Engineering, 2004, 5 (4), pp.395-415. ⟨10.1023/B:OPTE.0000042032.47856.e5⟩
Journal articles hal-00988792v1

A fast algorithm for the two dimensional HJB equation of stochastic control

Frédéric Bonnans , Elisabeth Ottenwaelter , Hasnaa Zidani
ESAIM: Mathematical Modelling and Numerical Analysis, 2004, 38 (4), pp.723-735. ⟨10.1051/m2an:2004034⟩
Journal articles hal-00988282v1

Consistency of Generalized Finite Difference Schemes for the Stochastic HJB Equation

Frédéric Bonnans , Hasnaa Zidani
SIAM Journal on Numerical Analysis, 2003, 41 (3), pp.1008-1021. ⟨10.1137/S0036142901387336⟩
Journal articles hal-00989641v1

Discrete approximation for a class of the Hamilton-Jacobi equation for an optimal control problem of a differential-algebraic system

Frédéric Bonnans , Philippe Chartier , Hasnaa Zidani
Control and Cybernetics, 2003, 32 (1), pp.33-55
Journal articles hal-00989817v1

A fully Discrete Approximation for a Control Problem of Parabolic Variational Inequalities

Maïtine Bergounioux , Hasnaa Zidani
SIAM Journal on Numerical Analysis, 2002, 39 (6), pp.2014-2033. ⟨10.1137/S0036142900373403⟩
Journal articles hal-00990198v1

A Fully Discrete Approximation for Control Problems governed by Parabolic Variational Inequalities

Maïtine Bergounioux , Housnaa Zidani
SIAM Journal on Numerical Analysis, 2002, 39, n°6, pp.2014-2033
Journal articles hal-00022024v1

Pontryagin's Principle For Local Solutions of Control Problems with Mixed Control-State Constraints

Eduardo Casas , Jean-Pierre Raymond , H. Zidani
SIAM Journal on Control and Optimization, 2000, 39 (4), pp.1182-1203. ⟨10.1137/S0363012998345627⟩
Journal articles hal-01254063v1

Hamiltonian Pontryagin's Principles for Control Problems Governed by Semilinear Parabolic Equations

Jean-Pierre Raymond , H. Zidani
Applied Mathematics and Optimization, 1999, 39 (2), pp.143-177. ⟨10.1007/s002459900102⟩
Journal articles hal-01254052v1
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Pontryagin Maximum Principle for Optimal Control of Variational Inequalities

Maïtine Bergounioux , Housnaa Zidani
SIAM Journal on Control and Optimization, 1999, 37, n°4, pp. 1273-1290
Journal articles hal-00023013v1

Pontryagin's Principle for Time-Optimal Problems

Jean-Pierre Raymond , H. Zidani
Journal of Optimization Theory and Applications, 1999, 101 (2), pp.375-402. ⟨10.1023/A:1021793611520⟩
Journal articles hal-01254047v1

On the minimization of the energy of a free-electron gas with constrained density function

Olivier Bokanowski , Ian Schindler , Hasnaa Zidani
Nonlinear Analysis: Theory, Methods and Applications, 1999, 35 (8), pp.1073-1090
Journal articles hal-00982466v1

Pontryagin's principle for state-constrained control problems governed by parabolic equations with unbounded controls

Jean-Pierre Raymond , H. Zidani
SIAM Journal on Control and Optimization, 1998, 36 (3), pp.1853-1879. ⟨10.1137/S0363012996302470⟩
Journal articles hal-01254040v1

A Mayer optimal control problem on Wasserstein spaces over Riemannian manifolds

Frédéric Jean , Othmane Jerhaoui , Hasnaa Zidani
18th IFAC Workshop on Control Applications of Optimization, 2022, Gif-sur-Yvette, France. pp.44-49, ⟨10.1016/j.ifacol.2022.08.079⟩
Conference papers hal-03925961v1
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Payload optimization for multi-stage launchers using HJB approach and application to a SSO mission

Olivier Bokanowski , Eric Bourgeois , Anna Desilles , Hasnaa Zidani
The 20th IFAC World Congress , Jul 2017, Toulouse, France. ⟨10.1016/j.ifacol.2017.08.647⟩
Conference papers hal-01598665v1

HJB approach for a multi-boost launcher trajectory optimization problem

Hasnaa Zidani , Olivier Bokanowski , Eric Bourgeois , Anna Desilles
IFAC ACA 2016, IFAC, Aug 2016, Sherbrooke, Canada
Conference papers hal-01357763v1

A Hamilton-Jacobi-Bellman approach for the optimal control of an abort landing problem

Mohamed Assellaou , Olivier Bokanowski , Anna Desilles , Hasnaa Zidani
2016 IEEE 55th Conference on Decision and Control (CDC), Dec 2016, Las Vegas (USA), United States. pp.3630-3635, ⟨10.1109/CDC.2016.7798815⟩
Conference papers hal-01484196v1
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HJB approach for a multi-boost launcher trajectory optimization problem *

O Bokanowski , E Bourgeois , Anna Desilles , Hasnaa Zidani
20th IFAC Symposium on Automatic Control in Aerospace - ACA 2016, Aug 2016, Sherbrooke, Quebec, Canada
Conference papers hal-01327671v1

Optimization of the launcher ascent trajectory leading to the global optimum without any initialization: the breakthrough of the HJB approach

Eric Bourgeois , Olivier Bokanowski , Anya Désilles , Hasnaa Zidani
6TH EUROPEAN CONFERENCE FOR AERONAUTICS AND SPACE SCIENCES (EUCASS), Jun 2015, Kraków, Poland. 12 p
Conference papers hal-01254164v1

Global optimization approach for the climbing problem of multi-stage launchers

Anna Desilles , Hasnaa Zidani , Olivier Bokanowski , Eric Bourgeois
IFIP 2015, Jun 2015, Sophia-Antipolis, France
Conference papers hal-01228557v1
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Collision analysis for an UAV

Anna Desilles , Hasnaa Zidani , Eva Crück
AIAA GUIDANCE, NAVIGATION, AND CONTROL CONFERENCE, Aug 2012, Minneapolis, United States. pp.AIAA 2012-4526, ⟨10.2514/6.2012-4526⟩
Conference papers hal-00756389v1

Hamilton-Jacobi-Bellman approach for the climbing problem for heavy launchers

Olivier Bokanowski , Emiliano Cristiani , Julien Laurent-Varin , Hasnaa Zidani
20th International Symposium on Mathematical Theory of Networks and Systems, Jul 2012, Melbourne, Australia
Conference papers hal-00724842v1
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Minimal Time Problems with Moving Targets and Obstacles

Olivier Bokanowski , Hasnaa Zidani
18th IFAC World Congress, 2011, Milano, Italy. pp.2589-2593, ⟨10.3182/20110828-6-IT-1002.02261⟩
Conference papers inria-00629166v1
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Optimal control problems of BV trajectories with pointwise state constraints

Nicolas Forcadel , Zhiping Rao , Hasnaa Zidani
18th IFAC World Congress, Aug 2011, Milan, Italy. ⟨10.3182/20110828-6-IT-1002.01694⟩
Conference papers inria-00639021v1
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A Stochastic Dynamic Principle for Hybrid Systems with Execution Delay and Decision Lags

K. Aouchiche , J. Frederic Bonnans , Giovanni Granato , Hasnaa Zidani
50th IEEE Conference on Decision and Control and European Control Conference (CDC-ECC), CDC - ECC, Dec 2011, Orlando, United States. pp.6788-6793
Conference papers hal-00688517v1
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An algorithmic guide for finite-dimensional optimal control problems

Jean-Baptiste Caillau , Roberto Ferretti , Emmanuel Trélat , Hasnaa Zidani
Handbook of numerical analysis: Numerical control, Part B, 24, North-Holland; Elsevier, pp.559-626, 2023, Handbook of Numerical Analysis, ⟨10.1016/bs.hna.2022.11.006⟩
Book sections hal-03883822v1
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Global optimization approach for the ascent problem of multi-stage launchers

Olivier Bokanowski , Eric Bourgeois , A Désilles , Hasnaa Zidani
In: Bock H.G., Jäger W., Kostina E., Phu H.X. (eds). Modeling, Simulation and Optimization of Complex Processes HPSC 2018. Springer, Cham., pp.1--42, 2021, 978-3-030-55239-8. ⟨10.1007/978-3-030-55240-4_1⟩
Book sections hal-01113819v1
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Hamilton-Jacobi-Bellman Equations on Multi-Domains

Zhiping Rao , Hasnaa Zidani
K. Bredies; C. Clason; K. Kunisch; G. von Winckel. Control and Optimization with PDE Constraints, 164, Springer, pp.93--116, 2013, International Series of Numerical Mathematics, 978-3-0348-0630-5. ⟨10.1007/978-3-0348-0631-2_6⟩
Book sections hal-00803108v1