Energy-saving mechanisms in walking and running, J Exp Biol, vol.160, pp.55-69, 1991. ,
A minimum energy cost hypothesis for human arm trajectories, Biological Cybernetics, vol.76, issue.2, pp.97-105, 1997. ,
DOI : 10.1007/s004220050324
Rethinking energy in parkinsonian motor symptoms: a potential role for neural metabolic deficits, Frontiers in Systems Neuroscience, vol.51, p.242, 2014. ,
DOI : 10.1212/wnl.51.6.1583
Influence of the globus pallidus on arm movements in monkeys. iii. timing of movement-related information, J Neurophysiol, vol.54, pp.433-448, 1985. ,
A Common Optimization Principle for Motor Execution in Healthy Subjects and Parkinsonian Patients, Journal of Neuroscience, vol.33, issue.2, pp.665-677, 2013. ,
DOI : 10.1523/JNEUROSCI.1482-12.2013
Humans Trade Off Viewing Time and Movement Duration to Improve Visuomotor Accuracy in a Fast Reaching Task, Journal of Neuroscience, vol.27, issue.26, pp.6984-6994, 2007. ,
DOI : 10.1523/JNEUROSCI.1309-07.2007
Minimum Acceleration Criterion with Constraints Implies Bang-Bang Control as an Underlying Principle for Optimal Trajectories of Arm Reaching Movements, Neural Computation, vol.3, issue.3, pp.779-812, 2008. ,
DOI : 10.1007/BF00204593
Direct Trajectory Optimization and Costate Estimation via an Orthogonal Collocation Method, Journal of Guidance, Control, and Dynamics, vol.29, issue.6, pp.1435-1440, 2006. ,
DOI : 10.2514/1.20478
Pathophysiology of bradykinesia in Parkinson's disease, Brain, vol.124, issue.11, pp.2131-2146, 2001. ,
DOI : 10.1093/brain/124.11.2131
Evidence for Composite Cost Functions in Arm Movement Planning: An Inverse Optimal Control Approach, PLoS Computational Biology, vol.22, issue.10, p.1002183, 2011. ,
DOI : 10.1371/journal.pcbi.1002183.s002
URL : https://hal.archives-ouvertes.fr/inserm-00704789
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, p.1000194, 2008. ,
DOI : 10.1371/journal.pcbi.1000194.s001
URL : https://hal.archives-ouvertes.fr/inserm-00705805
A simple and accurate onset detection method for a measured bellshaped speed profile, Front Neurosci, vol.3, p.61, 2009. ,
Scaling of Movement Is Related to Pallidal ?? Oscillations in Patients with Dystonia, Journal of Neuroscience, vol.32, issue.3, pp.1008-1019, 2012. ,
DOI : 10.1523/JNEUROSCI.3860-11.2012
Disturbances in human arm movement trajectory due to mild cerebellar dysfunction., Journal of Neurology, Neurosurgery & Psychiatry, vol.53, issue.4, pp.306-313, 1990. ,
DOI : 10.1136/jnnp.53.4.306
Binocular co-ordination of human horizontal saccadic eye movements., The Journal of Physiology, vol.404, issue.1, pp.157-182, 1988. ,
DOI : 10.1113/jphysiol.1988.sp017284
Effort-Based Cost-Benefit Valuation and the Human Brain, Journal of Neuroscience, vol.29, issue.14, pp.4531-4541, 2009. ,
DOI : 10.1523/JNEUROSCI.4515-08.2009
Trading off speed and accuracy in rapid, goal-directed movements, Journal of Vision, vol.7, issue.5, pp.10-11, 2007. ,
DOI : 10.1167/7.5.10
Testing Basal Ganglia Motor Functions Through Reversible Inactivations in the Posterior Internal Globus Pallidus, Journal of Neurophysiology, vol.99, issue.3, pp.1057-1076, 2008. ,
DOI : 10.1152/jn.01010.2007
Motor Sequences and the Basal Ganglia: Kinematics, Not Habits, Journal of Neuroscience, vol.30, issue.22, pp.7685-7690, 2010. ,
DOI : 10.1523/JNEUROSCI.0163-10.2010
Minimum Principles in Motor Control, Journal of Mathematical Psychology, vol.45, issue.3, pp.497-542, 2001. ,
DOI : 10.1006/jmps.2000.1295
A parametrization of the solutions of the finite-horizon LQ problem with general cost and boundary conditions, Automatica, vol.41, issue.8, pp.1359-1366, 2005. ,
DOI : 10.1016/j.automatica.2005.01.018
The information capacity of the human motor system in controlling the amplitude of movement., Journal of Experimental Psychology, vol.47, issue.6, pp.381-391, 1954. ,
DOI : 10.1037/h0055392
The coordination of arm movements: an experimentally confirmed mathematical model, J Neurosci, vol.5, pp.1688-1703, 1985. ,
A unified framework for the numerical solution of optimal control problems using pseudospectral methods (to appear) Automatica, 2009. ,
Energy-related optimal control accounts for gravitational load: comparing shoulder, elbow, and wrist rotations, Journal of Neurophysiology, vol.111, issue.1, 2014. ,
DOI : 10.1152/jn.01029.2012
URL : https://hal.archives-ouvertes.fr/hal-01159573
Motor planning of arm movements is direction-dependent in the gravity field, Neuroscience, vol.145, issue.1, pp.20-32, 2007. ,
DOI : 10.1016/j.neuroscience.2006.11.035
URL : https://hal.archives-ouvertes.fr/hal-00280944
SNOPT: An SQP Algorithm for Large-Scale Constrained Optimization, SIAM Review, vol.47, issue.1, pp.99-131, 2005. ,
DOI : 10.1137/S0036144504446096
Accuracy of planar reaching movements, Experimental Brain Research, vol.80, issue.1, pp.112-130, 1994. ,
DOI : 10.1007/BF00241416
Strategies for the control of voluntary movements with one mechanical degree of freedom, Behavioral and Brain Sciences, vol.14, issue.02, pp.189-250, 1989. ,
DOI : 10.1037/h0055392
Computational Motor Control: Redundancy and Invariance, Journal of Neurophysiology, vol.97, issue.1, pp.331-347, 2007. ,
DOI : 10.1152/jn.00290.2006
URL : https://hal.archives-ouvertes.fr/inserm-00214133
Action controls dopaminergic enhancement of reward representations, Proceedings of the National Academy of Sciences, vol.109, issue.19, pp.7511-7516, 2012. ,
DOI : 10.1073/pnas.1202229109
Evidence for Hyperbolic Temporal Discounting of Reward in Control of Movements, Journal of Neuroscience, vol.32, issue.34, pp.11727-11736, 2012. ,
DOI : 10.1523/JNEUROSCI.0424-12.2012
Signal-dependent noise determines motor planning, Nature, vol.394, issue.6695, pp.780-784, 1998. ,
DOI : 10.1038/29528
The Main Sequence of Saccades Optimizes Speed-accuracy Trade-off, Biological Cybernetics, vol.47, issue.5, 2006. ,
DOI : 10.1007/s00422-006-0064-x
A model of duration in normal and perturbed reaching movement, Biological Cybernetics, vol.62, issue.6, pp.481-488, 1994. ,
DOI : 10.1007/BF00198466
An organizing principle for a class of voluntary movements, J Neurosci, vol.4, pp.2745-2754, 1984. ,
Updated Energy Budgets for Neural Computation in the Neocortex and Cerebellum, Journal of Cerebral Blood Flow & Metabolism, vol.103, issue.7, pp.1222-1232, 2012. ,
DOI : 10.1111/j.1471-4159.1977.tb10649.x
Is there a reaching speed that minimizes metabolic cost?, Proceedings of the Translational and Computational Motor Control 2012, 2012. ,
Optimal Compensation for Temporal Uncertainty in Movement Planning, PLoS Computational Biology, vol.186, issue.7, p.1000130, 2008. ,
DOI : 10.1371/journal.pcbi.1000130.t001
Infinite horizon optimal control framework for goal directed movements, Society for Neuroscience Annual Meeting, 2010. ,
Changes in the control of arm position, movement, and thalamic discharge during local inactivation in the globus pallidus of the monkey, J Neurophysiol, vol.75, pp.1087-1104, 1996. ,
Optimal control theory and the linear Bellman equation, Bayesian Time Series Models, pp.363-387, 2011. ,
DOI : 10.1017/CBO9780511984679.018
Optimal Control of Gaze Shifts, Journal of Neuroscience, vol.29, issue.24, pp.7723-7730, 2009. ,
DOI : 10.1523/JNEUROSCI.5518-08.2009
Optimal control theory: An Introduction, 1970. ,
Behavioral Modeling of Human Choices Reveals Dissociable Effects of Physical Effort and Temporal Delay on Reward Devaluation, PLOS Computational Biology, vol.6, issue.3, p.1004116, 2015. ,
DOI : 10.1371/journal.pcbi.1004116.s010
Influence of Reward Delays on Responses of Dopamine Neurons, Journal of Neuroscience, vol.28, issue.31, pp.7837-7846, 2008. ,
DOI : 10.1523/JNEUROSCI.1600-08.2008
The costs of taking it slowly: Fast and slow movement timing in older age., Psychology and Aging, vol.25, issue.4, pp.980-990, 2010. ,
DOI : 10.1037/a0020090
Energetics of muscle contraction. Comprehensive Physiology, p.32, 1983. ,
Energy as a constraint on the coding and processing of sensory information, Current Opinion in Neurobiology, vol.11, issue.4, pp.475-480, 2001. ,
DOI : 10.1016/S0959-4388(00)00237-3
Foundations of Optimal Control Theory, 1967. ,
The Cost of Cortical Computation, Current Biology, vol.13, issue.6, pp.493-497, 2003. ,
DOI : 10.1016/S0960-9822(03)00135-0
Evidence for the Flexible Sensorimotor Strategies Predicted by Optimal Feedback Control, Journal of Neuroscience, vol.27, issue.35, pp.9354-9368, 2007. ,
DOI : 10.1523/JNEUROSCI.1110-06.2007
Why Don't We Move Faster? Parkinson's Disease, Movement Vigor, and Implicit Motivation, Journal of Neuroscience, vol.27, issue.27, pp.7105-7116, 2007. ,
DOI : 10.1523/JNEUROSCI.0264-07.2007
Basal ganglia motor control. iii. pallidal ablation: normal reaction time, muscle cocontraction, and slow movement, J Neurophysiol, vol.65, pp.330-351, 1991. ,
From human to humanoid locomotion???an inverse optimal control approach, Autonomous Robots, vol.24, issue.5, 2009. ,
DOI : 10.1007/s10514-009-9170-7
Discounting of delayed rewards: Models of individual choice, Journal of the Experimental Analysis of Behavior, vol.64, issue.3, pp.263-276, 1995. ,
DOI : 10.1901/jeab.1995.64-263
Quantitative examinations of internal representations for arm trajectory planning: minimum commanded torque change model, J Neurophysiol, vol.81, pp.2140-2155, 1999. ,
Physical principles for economies of skilled movements, Biological Cybernetics, vol.1, issue.2, pp.135-147, 1983. ,
DOI : 10.1007/BF00339982
Tonic dopamine: opportunity costs and the control of response vigor, Psychopharmacology, vol.13, issue.7, pp.507-520, 2007. ,
DOI : 10.1007/s00213-006-0502-4
Linear optimal control problems and quadratic cost functions estimation, 12th Mediterranean Conference on Control and Automation, MED'04, 2004. ,
Hand trajectories of vertical arm movements in one- G and zero- G environments, Experimental Brain Research, vol.120, issue.4, pp.496-502, 1998. ,
DOI : 10.1007/s002210050423
The Mathematical Theory of Optimal Processes, 1964. ,
Energy-speed relation and optimal speed during level walking, Internationale Zeitschrift f??r Angewandte Physiologie Einschliesslich Arbeitsphysiologie, vol.109, issue.4, pp.277-283, 1958. ,
DOI : 10.1007/BF00698754
Algorithm 902, ACM Transactions on Mathematical Software, vol.37, issue.2, pp.1-39, 2010. ,
DOI : 10.1145/1731022.1731032
Comparing smooth arm movements with the two-thirds power law and the related segmented-control hypothesis, J Neurosci, vol.22, pp.8201-8211, 2002. ,
A Model of Reward- and Effort-Based Optimal Decision Making and Motor Control, PLoS Computational Biology, vol.8, issue.10, p.1002716, 2012. ,
DOI : 10.1371/journal.pcbi.1002716.g007
Disconnecting force from money: effects of basal ganglia damage on incentive motivation, Brain, vol.131, issue.5, pp.1303-1310, 2008. ,
DOI : 10.1093/brain/awn045
URL : https://hal.archives-ouvertes.fr/hal-00333398
The Role of the Striatum in Effort-Based Decision-Making in the Absence of Reward, Journal of Neuroscience, vol.34, issue.6, pp.2148-2154, 2014. ,
DOI : 10.1523/JNEUROSCI.1214-13.2014
Optimal feedback control and the neural basis of volitional motor control, Nature Reviews Neuroscience, vol.195, issue.7, pp.532-546, 2004. ,
DOI : 10.1038/nn1102-1110
Control of movements and temporal discounting of reward, Current Opinion in Neurobiology, vol.20, issue.6, pp.726-730, 2010. ,
DOI : 10.1016/j.conb.2010.08.017
A computational neuroanatomy for motor control, Experimental Brain Research, vol.163, issue.Pt 3, pp.359-381, 2008. ,
DOI : 10.1007/s00221-008-1280-5
Temporal Discounting of Reward and the Cost of Time in Motor Control, Journal of Neuroscience, vol.30, issue.31, pp.10507-10516, 2010. ,
DOI : 10.1523/JNEUROSCI.1343-10.2010
Optimal Control and Estimation Dover books on advanced mathematics, 1986. ,
Reinforcement Learning, 1998. ,
DOI : 10.1007/978-1-4615-3618-5
URL : https://hal.archives-ouvertes.fr/hal-00764281
An Optimization Principle for Determining Movement Duration, Journal of Neurophysiology, vol.95, issue.6, pp.3875-3886, 2006. ,
DOI : 10.1152/jn.00751.2005
Optimality principles in sensorimotor control, Nature Neuroscience, vol.4, issue.9, pp.907-915, 2004. ,
DOI : 10.1038/73964
Optimal control theory, chapter 12, Bayesian Brain: Probabilistic Approaches to Neural Coding, Doya K (ed), pp.269-298, 2006. ,
Optimal feedback control as a theory of motor coordination, Nature Neuroscience, vol.5, issue.11, pp.1226-1235, 2002. ,
DOI : 10.1038/nn963
Basal ganglia contributions to motor control: a vigorous tutor, Current Opinion in Neurobiology, vol.20, issue.6, pp.704-716, 2010. ,
DOI : 10.1016/j.conb.2010.08.022
Formation and control of optimal trajectory in human multijoint arm movement. minimum torque-change model, Biol Cybern, vol.61, pp.89-101, 1989. ,
Saccadic Eye Movements Minimize the Consequences of Motor Noise, PLoS ONE, vol.83, issue.4, p.2070, 2008. ,
DOI : 10.1371/journal.pone.0002070.g005
The Role of Execution Noise in Movement Variability, Journal of Neurophysiology, vol.91, issue.2, 2004. ,
DOI : 10.1152/jn.00652.2003
Musculoskeletal Systems with Intrinsic and Proprioceptive Feedback, Biomechanics and neural control of posture and movement, pp.164-174, 2000. ,
DOI : 10.1007/978-1-4612-2104-3_11
Biomechanics and Motor Control of Human Movement, 1990. ,
DOI : 10.1002/9780470549148
Motor control is decision-making, Current Opinion in Neurobiology, vol.22, issue.6, pp.996-1003, 2012. ,
DOI : 10.1016/j.conb.2012.05.003
Target-Directed Movements at a Comfortable Pace: Movement Duration and Fitts's Law, Journal of Motor Behavior, vol.41, issue.4, pp.339-346, 2009. ,
DOI : 10.3200/JMBR.41.4.339-346