J. Lagrange, Académie Royale des Sciences, 1788.

R. Featherstone, Rigid Body Dynamics Algorithms, 2008.
DOI : 10.1007/978-1-4899-7560-7

M. G. Hollars, D. E. Rosenthal, and M. A. Sherman, SD/FAST user's manual, 1991.

N. Docquier, A. Poncelet, and P. Fisette, Robotran: a powerful symbolic gnerator of multibody models, Mechanical Sciences, vol.4, issue.1, pp.199-219, 2013.

P. Wieber, F. Billet, L. Boissieux, and R. Pissard-gibollet, The HuMAnS toolbox, a homogenous framework for motion capture, analysis and simulation, International Symposium on the 3D Analysis of Human Movement, 2006.
URL : https://hal.archives-ouvertes.fr/inria-00390447

W. Khalil, A. Vijayalingam, B. Khomutenko, I. Mukhanov, P. Lemoine et al., Opensymoro: An open-source software package for symbolic modelling of robots, IEEE/ASME International Conference on Advanced Intelligent Mechatronics, pp.1206-1211, 2014.
DOI : 10.1109/aim.2014.6878246

URL : https://hal.archives-ouvertes.fr/hal-01025919

M. Naveau, J. Carpentier, S. Barthelemy, O. Stasse, and P. Soù, METAPOD-Template META-PrOgramming applied to dynamics: CoP-CoM trajectories filtering, IEEE-RAS International Conference on Humanoid Robots (Humanoids), 2014.
DOI : 10.1109/humanoids.2014.7041391

URL : https://hal.archives-ouvertes.fr/hal-01122475

M. Frigerio, J. Buchli, D. G. Caldwell, and C. Semini, RobCoGen: a code generator for efficient kinematics and dynamics of articulated robots, based on Domain Specific Languages, Journal of Software Engineering for Robotics (JOSER), vol.7, issue.1, pp.36-54, 2016.

M. L. Felis, RBDL: an efficient rigid-body dynamics library using recursive algorithms, Autonomous Robots, 2017.
DOI : 10.1007/s10514-016-9574-0

F. Kanehiro, H. Hirukawa, and S. Kajita, Openhrp: Open architecture humanoid robotics platform, The International Journal of Robotics Research, vol.23, issue.2, pp.155-165, 2004.

M. A. Sherman, A. Seth, and S. L. Delp, Simbody: multibody dynamics for biomedical research, Procedia Iutam, vol.2, pp.241-261, 2011.
DOI : 10.1016/j.piutam.2011.04.023

URL : https://doi.org/10.1016/j.piutam.2011.04.023

T. Koolen, RigidBodyDynamics.jl, 2016.

R. Tedrake, . The-drake-development, and . Team, Drake: A planning, control, and analysis toolbox for nonlinear dynamical systems, 2016.

E. Coumans, Bullet Physics Simulation, ACM SIGGRAPH 2015 Courses, 2015.

J. Lee, M. X. Grey, S. Ha, T. Kunz, S. Jain et al., Dart: Dynamic animation and robotics toolkit, The Journal of Open Source Software, vol.3, issue.22, p.500, 2018.

G. Guennebaud and B. Jacob, Eigen v3, 2010.

J. Pan, S. Chitta, and D. Manocha, Fcl: A general purpose library for collision and proximity queries, Robotics and Automation (ICRA), 2012 IEEE International Conference on, pp.3859-3866, 2012.

J. Y. Luh, M. W. Walker, and R. P. Paul, On-line computational scheme for mechanical manipulators, Journal of Dynamic Systems, Measurement, and Control, vol.102, issue.2, pp.69-76, 1980.

M. W. Walker and D. E. Orin, Efficient dynamic computer simulation of robotic mechanisms, Journal of Dynamic Systems, Measurement, and Control, 1982.

R. Featherstone, The calculation of robot dynamics using articulated-body inertias, The International Journal of Robotics Research, 1983.

J. Carpentier, Analytical inverse of the joint space inertia matrix, 2018.
URL : https://hal.archives-ouvertes.fr/hal-01790934

J. Carpentier and N. Mansard, Analytical derivatives of rigid body dynamics algorithms, Robotics: Science and Systems, 2018.
URL : https://hal.archives-ouvertes.fr/hal-01790971

A. Griewank, D. Juedes, and J. Utke, ADOL-C: a package for the automatic differentiation of algorithms written in C/C++, ACM Transactions on Mathematical Software (TOMS), vol.22, issue.2, pp.131-167, 1996.

J. Andersson, J. Akesson, and M. Diehl, CasADi: A symbolic package for automatic differentiation and optimal control, Recent advances in algorithmic differentiation, pp.297-307, 2012.

B. Bell, CppAD: a package for C++ algorithmic differentiation, 2005.

J. Carpentier, F. Valenza, and N. Mansard, Pinocchio: fast forward and inverse dynamics for poly-articulated systems, pp.2015-2018

R. Bischoff, J. Kurth, G. Schreiber, R. Koeppe, A. Albu-schaeffer et al., The KUKA-DLR lightweight robot arm-a new reference platform for robotics research and manufacturing, 2010.

O. Stasse, T. Flayols, R. Budhiraja, K. Giraud-esclasse, J. Carpentier et al.,

L. Laumond, H. Marchionni, F. Tome, and . Ferro, TALOS: A new humanoid research platform targeted for industrial applications, Int. Conf. on Humanoid Robotics (Humanoids), 2017.
URL : https://hal.archives-ouvertes.fr/hal-01485519

C. Semini, N. G. Tsagarakis, E. Guglielmino, M. Focchi, F. Cannella et al., Design of HyQ-a hydraulically and electrically actuated quadruped robot, Proceedings of the Institution of Mechanical Engineers, vol.225, issue.6, pp.831-849, 2011.

J. Carpentier, S. Tonneau, M. Naveau, O. Stasse, and N. Mansard, A versatile and efficient pattern generator for generalized legged locomotion, IEEE/RAS Int. Conf. on Robotics and Automation (ICRA), 2016.
URL : https://hal.archives-ouvertes.fr/hal-01203507

J. Carpentier, R. Budhiraja, and N. Mansard, Learning feasibility constraints for multi-contact locomotion of legged robots, Robotics: Science and Systems, p.9, 2017.
URL : https://hal.archives-ouvertes.fr/hal-01526200

J. Carpentier and N. Mansard, Multi-contact locomotion of legged robots, IEEE Transactions on Robotics, 2018.
URL : https://hal.archives-ouvertes.fr/hal-01859108

M. Naveau, M. Kudruss, O. Stasse, C. Kirches, K. Mombaur et al., A reactive walking pattern generator based on nonlinear model predictive control, IEEE/RAS Robotics and Automation Letters, vol.2, 2017.
URL : https://hal.archives-ouvertes.fr/hal-01261415

G. Saurel, J. Carpentier, N. Mansard, and J. Laumond, A simulation framework for simultaneous design and control of passivity based walkers, IEEE International Conference on Simulation, Modeling, and Programming for Autonomous Robots (SIMPAR), 2016.
URL : https://hal.archives-ouvertes.fr/hal-01360450

R. Budhiraja, J. Carpentier, C. Mastalli, and N. Mansard, Differential Dynamic Programming for Multi-Phase Rigid Contact Dynamics, 2018 International Conference on Humanoid Robots, 2018.
URL : https://hal.archives-ouvertes.fr/hal-01851596

J. Mirabel, S. Tonneau, P. Fernbach, A. , M. Campana et al., HPP: A new software for constrained motion planning, IEEE/RSJ International Conference on Intelligent Robots and Systems (IROS), 2016.
URL : https://hal.archives-ouvertes.fr/hal-01290850

P. Fernbach, S. Tonneau, and M. Ta¨?xta¨?x, CROC: Convex Resolution Of Centroidal dynamics trajectories to provide a feasibility criterion for the multi contact planning problem, IEEE/RSJ Int. Conf. on Intelligent Robots and Systems (IROS), 2018.
URL : https://hal.archives-ouvertes.fr/hal-01726155

P. Fernbach, S. Tonneau, J. Carpentier, O. Stasse, and M. Ta¨?xta¨?x, C-CROC: Continuous and Convex Resolution of Centroidal dynamic trajectories for legged robots in multi-contact scenarios, 2018.
URL : https://hal.archives-ouvertes.fr/hal-01894869

J. Carpentier, Computational foundations of anthropomorphic locomotion, 2017.
URL : https://hal.archives-ouvertes.fr/tel-01841095