A Fully Asynchronous Multifrontal Solver Using Distributed Dynamic Scheduling, SIAM Journal on Matrix Analysis and Applications, vol.23, issue.1, pp.15-41, 2001. ,
DOI : 10.1137/S0895479899358194
URL : https://hal.archives-ouvertes.fr/hal-00808293
Solution of the minimum time-to-climb problem by matched asymptotic expansions, AIAA Journal, vol.3, issue.7, pp.843-850, 1976. ,
DOI : 10.2514/3.44093
Practical Methods for Optimal control Using Nonlinear Programming Advances in Design and Control, Soc. for Industrial and Applied Math, 2001. ,
Bocop -a collection of examples, 2014. ,
URL : https://hal.archives-ouvertes.fr/hal-00726992
Well-Posedness of the Shooting Algorithm for State Constrained Optimal Control Problems with a Single Constraint and Control, SIAM Journal on Control and Optimization, vol.46, issue.4, pp.1398-1430, 2007. ,
DOI : 10.1137/06065756X
URL : https://hal.archives-ouvertes.fr/inria-00071379
Computation of order conditions for symplectic partitioned Runge-Kutta schemes with application to optimal control, Numerische Mathematik, vol.103, issue.1, 2004. ,
DOI : 10.1007/s00211-005-0661-y
URL : https://hal.archives-ouvertes.fr/inria-00070605
Introduction to numerical analysis, of Texts in Applied Mathematics, 2002. ,
Differential continuation for regular optimal control problems, Optimization Methods and Software, vol.41, issue.6, pp.177-196, 2012. ,
DOI : 10.1145/279232.279235
The numerical solution of nonlinear two-point boundary value problems using iterated deferred correction -a survey, Opuscula Math, vol.26, issue.2, 2006. ,
Time-optimal aircraft trajectories in climbing phase and singular perturbations (regular paper), IFAC World Congress, pp.2017-2031, 2017. ,
Second-Order Runge--Kutta Approximations in Control Constrained Optimal Control, SIAM Journal on Numerical Analysis, vol.38, issue.1, pp.202-226, 2000. ,
DOI : 10.1137/S0036142999351765
The Euler approximation in state constrained optimal control, Mathematics of Computation, vol.70, issue.233, pp.173-203, 2001. ,
DOI : 10.1090/S0025-5718-00-01184-4
Legendre Pseudospectral Approximations of Optimal Control Problems, Lecture Notes in Control and Inform. Sci, vol.295, 2003. ,
Optimal control of ODEs and DAEs, 2011. ,
DOI : 10.1515/9783110249996
URL : https://hal.archives-ouvertes.fr/hal-00724908
Contrôle optimal géométrique et méthodes numériques : application auprobì eme de montée d'un avion, 2017. ,
Runge-Kutta methods in optimal control and the transformed adjoint system, Numerische Mathematik, vol.87, issue.2, pp.247-282, 2000. ,
DOI : 10.1007/s002110000178
Geometric Numerical Integration. Structure?Preserving Algorithms for Ordinary Differential Equations, 2006. ,
URL : https://hal.archives-ouvertes.fr/hal-01403326
Solving ordinary differential equations II. Stiff and differential-Algebraic Problems. Springer series in computational mathematics, 2010. ,
DOI : 10.1007/978-3-662-09947-6
A Survey of the Maximum Principles for Optimal Control Problems with State Constraints, SIAM Review, vol.37, issue.2, pp.181-218, 1995. ,
DOI : 10.1137/1037043
The Tapenade automatic differentiation tool, ACM Transactions on Mathematical Software, vol.39, issue.3, p.2013 ,
DOI : 10.1145/2450153.2450158
Asymptotic analysis and singular perturbation theory, 2004. ,
Theory of extremal problems. Studies in mathematics and its applications, 1979. ,
New necessary conditions of optimality for control problems with state-variable inequality constraints, Journal of Mathematical Analysis and Applications, vol.35, issue.2, pp.255-284, 1971. ,
DOI : 10.1016/0022-247X(71)90219-8
Calcul de trajectoires optimales de lanceurs spatiaux réutilisables par une méthode de point intérieur, Thèse de doctorat, ´ Ecole Polytechnique, 2005. ,
On Optimal Control Problems with Bounded State Variables and Control Appearing Linearly, SIAM Journal on Control and Optimization, vol.15, issue.3, pp.345-362, 1977. ,
DOI : 10.1137/0315023
Probì emes mathématiques d'analyse des systèmes, 1985. ,
User guide for minpack-1, 1980. ,
Singular Arc Time-Optimal Climb Trajectory of Aircraft in a Two-Dimensional Wind Field, AIAA Guidance, Navigation, and Control Conference and Exhibit, 2006. ,
DOI : 10.2514/2.4830
Singular Perturbation Methods for Ordinary Differential Equations, 1991. ,
Base of aircraft data (BADA) aircraft performance modelling report, EEC Technical/Scientific Report, 2009. ,
A survey of numerical methods for optimal control, AAS/AIAA Astrodynamics Specialist Conference, 2009. ,
A Primer on Pontryagin's Principle in Optimal Control, 2015. ,
On the implementation of an interior-point filter line-search algorithm for large-scale nonlinear programming, Mathematical Programming, vol.10, issue.1, pp.25-57, 2006. ,
DOI : 10.1007/BFb0120945
Getting Started with ADOL-C, Combinatorial Scientific Computing, pp.181-202, 2012. ,
DOI : 10.1201/b11644-8