Introduction to numerical continuation methods, Classics in Applied Mathematics, Soc. for Industrial and Applied Math, vol.45, issue.18, pp.388-407, 2003. ,
DOI : 10.1137/1.9780898719154
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
A Shooting Algorithm for Optimal Control Problems with Singular Arcs, J. Optim. Theory. Appl, vol.16, p.17, 2013. ,
URL : https://hal.archives-ouvertes.fr/inria-00631332
Bocop -A collection of examples, pp.2012-8053 ,
URL : https://hal.archives-ouvertes.fr/hal-00726992
Second order optimality conditions in the smooth case and applications in optimal control, ESAIM: Control, Optimisation and Calculus of Variations, vol.13, issue.2, pp.207-236, 2007. ,
DOI : 10.1051/cocv:2007012
URL : https://hal.archives-ouvertes.fr/hal-00086380
Geometric optimal control of elliptic Keplerian orbits, Discrete Contin, Dyn. Syst. Ser. B, vol.5, issue.7, pp.929-956, 2005. ,
Singular trajectories and their role in control theory, of Mathematics & Applications, pp.357-360, 2003. ,
Algebraic geometric classification of the singular flow in the contrast imaging problem in nuclear magnetic resonance, Mathematical Control and Related Fields, vol.3, issue.4, 2013. ,
DOI : 10.3934/mcrf.2013.3.397
URL : https://hal.archives-ouvertes.fr/hal-00939495
Singular Trajectories and the Contrast Imaging Problem in Nuclear Magnetic resonance, submitted, p.6 ,
Geometric numerical methods and results in the control imaging problem in nuclear magnetic resonance, Math. Models Methods Appl. Sci, vol.3, issue.30, pp.19-26, 2012. ,
URL : https://hal.archives-ouvertes.fr/hal-01136896
Geometric Optimal Control of the Contrast Imaging Problem in Nuclear Magnetic Resonance, IEEE Transactions on Automatic Control, vol.57, issue.8, pp.1957-1969, 2012. ,
DOI : 10.1109/TAC.2012.2195859
URL : https://hal.archives-ouvertes.fr/hal-00750032
Théorie des singularités de l'application entrée/sortie et optimalité des trajectoiressingulì eres dans leprobì eme du temps minimal, Forum Math, vol.5, issue.2, pp.111-159, 1993. ,
Introduction to numerical analysis, of Texts in Applied Mathematics, pp.744-760, 1993. ,
Differential continuation for regular optimal control problems, Optimization Methods and Software, vol.41, issue.6, pp.177-196, 2012. ,
DOI : 10.1145/279232.279235
Minimum Time Control of the Restricted Three-Body Problem, SIAM Journal on Control and Optimization, vol.50, issue.6, pp.3178-3202, 2011. ,
DOI : 10.1137/110847299
URL : https://hal.archives-ouvertes.fr/hal-00599216
Genericity results for singular curves, Journal of Differential Geometry, vol.73, issue.1, pp.45-73, 2006. ,
DOI : 10.4310/jdg/1146680512
URL : https://hal.archives-ouvertes.fr/hal-00086357
Contrôle optimal géométrique : méthodes homotopiques et applications, pp.2012-2027 ,
Exploiting Sparsity in Jacobian Computation via Coloring and Automatic Differentiation: A Case Study in a Simulated Moving Bed Process, Proceedings of the Fifth International Conference on Automatic Differentiation, pp.327-338, 2008. ,
DOI : 10.1007/978-3-540-68942-3_29
The Tapenade automatic differentiation tool, ACM Transactions on Mathematical Software, vol.39, issue.3, p.18, 2012. ,
DOI : 10.1145/2450153.2450158
Optimal switching control design for polynomial systems: an LMI approach, 52nd IEEE Conference on Decision and Control ,
DOI : 10.1109/CDC.2013.6760070
URL : https://hal.archives-ouvertes.fr/hal-00798196
GloptiPoly 3: moments, optimization and semidefinite programming, Optimization Methods and Software, vol.24, issue.4-5, pp.4-5, 2009. ,
DOI : 10.1080/10556780802699201
URL : https://hal.archives-ouvertes.fr/hal-00172442
The High Order Maximal Principle and Its Application to Singular Extremals, SIAM Journal on Control and Optimization, vol.15, issue.2, pp.256-293, 1977. ,
DOI : 10.1137/0315019
Geometric theory of extremals in optimal control problems. i. the fold and maxwell case, Trans. Amer. Math. Soc, vol.299, issue.1, pp.225-243, 1987. ,
Towards the time-optimal control of dissipative spin-1/2 particles in nuclear magnetic resonance, Journal of Physics B: Atomic, Molecular and Optical Physics, vol.44, issue.15, p.44, 2011. ,
DOI : 10.1088/0953-4075/44/15/154014
URL : https://hal.archives-ouvertes.fr/hal-00642391
Exploring the physical limits of saturation contrast in Magnetic Resonance Imaging Sci, Rep, vol.2, issue.2, pp.589-592, 2012. ,
Positive polynomials and their applications, p.23, 2009. ,
DOI : 10.1142/p665
Nonlinear Optimal Control via Occupation Measures and LMI-Relaxations, SIAM Journal on Control and Optimization, vol.47, issue.4, pp.1643-1666, 2008. ,
DOI : 10.1137/070685051
URL : https://hal.archives-ouvertes.fr/hal-00136032
Spin dynamics : basics of nuclear magnetic resonance, 2001. ,
Control of inhomogeneous ensembles, Phd dissertation, p.40, 2006. ,
Numerical solution of singular control problems using multiple shooting techniques, Journal of Optimization Theory and Applications, vol.8, issue.2, pp.235257-235273, 1976. ,
DOI : 10.1007/BF00935706
User Guide for MINPACK-1, ANL-80-74, p.17, 1980. ,
Matematicheskaya teoriya optimalnykh protsessov, 1983. ,
A hybrid method for nonlinear equations, Numerical Methods for Nonlinear Algebraic Equations, p.17, 1970. ,
Using SeDuMi 1.02, a MATLAB toolbox for optimization over symmetric cones, Optimization Methods and Software, pp.11-12, 1999. ,
On the implementation of a primal-dual interior point filter line search algorithm for large-scale nonlinear programming, Mathematical Programming, pp.25-57, 2006. ,
Getting Started with ADOL-C, Combinatorial Scientific Computing. Chapman-Hall CRC Computational Science, p.15, 2012. ,
DOI : 10.1201/b11644-8