B. Berret, C. Darlot, F. Jean, T. Pozzo, C. Papaxanthis et al., The Inactivation Principle: Mathematical Solutions Minimizing the Absolute Work and Biological Implications for the Planning of Arm Movements, PLoS Computational Biology, vol.294, issue.21, 2008.
DOI : 10.1371/journal.pcbi.1000194.s001

URL : https://hal.archives-ouvertes.fr/inserm-00705805

Z. Chen, J. Caillau, and Y. Chitour, $\mathrm{L^1}$-Minimization for Mechanical Systems, SIAM Journal on Control and Optimization, vol.54, issue.3, pp.1245-1265, 2016.
DOI : 10.1137/15M1013274

URL : https://hal.archives-ouvertes.fr/hal-01136676/document

G. Vossen and H. Maurer, On L 1 -minimization in optimal control and applications to robotics, Optim. Control Appl. Meth, issue.27, pp.301-321, 2006.

N. Boizot and O. Oukacha, Consumption minimisation for an academic vehicle, 2016.
URL : https://hal.archives-ouvertes.fr/hal-01384651

A. J. Craig and I. Flügge-lotz, Investigation of Optimal Control With a Minimum-Fuel Consumption Criterion for a Fourth-Order Plant With Two Control Inputs; Synthesis of an Efficient Suboptimal Control, Journal of Basic Engineering, vol.87, issue.1, pp.39-58, 1965.
DOI : 10.1115/1.3650527

I. M. Ross, Space Trajectory Optimization and L1-Optimal Control Problems, Modern Astrodynamics, p.155, 2006.
DOI : 10.1016/S1874-9305(07)80008-2

C. Clason and K. Kunisch, A duality-based approach to elliptic control problems in non-reflexive Banach spaces, ESAIM: Control, Optimisation and Calculus of Variations, vol.17, issue.1, pp.243-266, 2011.
DOI : 10.1051/cocv/2010003

D. Kalise, K. Kunisch, and Z. Rao, Infinite Horizon Sparse Optimal Control, Journal of Optimization Theory and Applications, vol.38, issue.3, pp.1-32, 2016.
DOI : 10.1137/1.9781611971309

URL : https://hal.archives-ouvertes.fr/hal-01280329

G. Stadler, Elliptic optimal control problems with L 1-control cost and applications for the placement of control devices, Computational Optimization and Applications, vol.44, issue.5, pp.159-181, 2009.
DOI : 10.1137/1.9780898717570

F. Clarke, Functional analysis, calculus of variations and optimal control, 2013.
DOI : 10.1007/978-1-4471-4820-3

URL : https://hal.archives-ouvertes.fr/hal-00865914

A. A. Agrachev and Y. L. Sachkov, Control Theory from the Geometric Viewpoint, 2004.
DOI : 10.1007/978-3-662-06404-7

G. Stefani and P. Zezza, Variational Methods in Imaging and Geometric Control, chapter A Hamiltonian approach to sufficiency in optimal control with minimal regularity conditions: Part I, 2016.

A. Agrachev, G. Stefani, and P. Zezza, Strong Optimality for a Bang-Bang Trajectory, SIAM Journal on Control and Optimization, vol.41, issue.4, pp.991-1014, 2002.
DOI : 10.1137/S036301290138866X

URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.585.9425

L. Poggiolini and G. Stefani, State-local optimality of a bang-bang trajectory: a Hamiltonian approach. System and Control Letters, pp.269-279, 2004.

A. Agrachev, G. Stefani, and P. Zezza, An invariant second variation in optimal control, International Journal of Control, vol.71, issue.5, pp.689-715, 1998.
DOI : 10.1080/002071798221533

L. Poggiolini, On local state optimality of bang-bang extremals in a free horizon Bolza problem. Rendiconti del seminario matematico italiano, pp.1-23, 2006.

F. H. Clarke, On the inverse function theorem, Pacific Journal of Mathematics, vol.64, issue.1, pp.97-102, 1976.
DOI : 10.2140/pjm.1976.64.97