Free Access
| Issue |
ESAIM: COCV
Volume 19, Number 4, October-December 2013
|
|
|---|---|---|
| Page(s) | 1030 - 1054 | |
| DOI | https://doi.org/10.1051/cocv/2012043 | |
| Published online | 03 June 2013 | |
- A.A. Agrachev and Y.L. Sachkov, Control theory from the geometric viewpoint. Springer-Verlag, Berlin, Encyclopaedia of Mathematical Sciences 87 (2004). Control Theory and Optimization, II. [Google Scholar]
- A. Ajami, T. Maillot, N. Boizot, J.-F. Balmat, and J.-P. Gauthier. Simulation of a uav ground control station, in Proceedings of the 9th International Conference of Modeling and Simulation, MOSIM’12 (2012). To appear, Bordeaux, France (2012). [Google Scholar]
- G. Arechavaleta, J.-P. Laumond, H. Hicheur, and A. Berthoz, Optimizing principles underlying the shape of trajectories in goal oriented locomotion for humans, in Humanoid Robots, 2006 6th IEEE-RAS International Conference on (2006) 131–136. [Google Scholar]
- G. Arechavaleta, J.-P. Laumond, H. Hicheur, and A. Berthoz, On the nonholonomic nature of human locomotion. Autonomous Robots 25 2008 25–35. [CrossRef] [Google Scholar]
- G. Arechavaleta, J.-P. Laumond, H. Hicheur, and A. Berthoz, An optimality principle governing human walking. Robot. IEEE Trans. on 24 2008) 5–14. [CrossRef] [Google Scholar]
- B. Berret, C. Darlot, F. Jean, T. Pozzo, C. Papaxanthis, and J.P. Gauthier, The inactivation principle: mathematical solutions minimizing the absolute work and biological implications for the planning of arm movements. PLoS Comput. Biol. 4 (2008) 25. [CrossRef] [Google Scholar]
- B. Berret, J.-P. Gauthier, and C. Papaxanthis, How humans control arm movements. Tr. Mat. Inst. Steklova 261 (2008) 47–60. [Google Scholar]
- Y. Chitour, F. Jean, and P. Mason, Optimal control models of goal-oriented human locomotion. SIAM J. Control Optim. 50 (2012) 147–170. [CrossRef] [MathSciNet] [Google Scholar]
- H. Chitsaz and S. LaValle, Time-optimal paths for a dubins airplane, in Decision and Control, 2007 46th IEEE Conference on (2007) 2379–2384. [Google Scholar]
- F. Chittaro, F. Jean, and P. Mason. On the inverse optimal control problems of the human locomotion: stability and robustness of the minimizers. J. Math. Sci. (To appear). [Google Scholar]
- J.-P. Gauthier, B. Berret, and F. Jean. A biomechanical inactivation principle. Tr. Mat. Inst. Steklova 268 (2010) 100–123. [Google Scholar]
- M. Golubitsky and V. Guillemin, Stable mappings and their singularities. Springer-Verlag, New York, Graduate Texts in Mathematics 14 (1973). [Google Scholar]
- F. Jean, Optimal control models of the goal-oriented human locomotion, Talk given at the “Workshop on Nonlinear Control and Singularities”, Porquerolles, France (2010). [Google Scholar]
- W. Li, E. Todorov, and D. Liu, Inverse optimality design for biological movement systems. World Congress 18 (2011) 9662–9667. [Google Scholar]
- L.S. Pontryagin, V.G. Boltyanskii, R.V. Gamkrelidze, and E.F. Mishchenko, The mathematical theory of optimal processes, Translated from the Russian by K.N. Trirogoff, edited by L.W. Neustadt. Interscience Publishers John Wiley & Sons, Inc. New York-London (1962). [Google Scholar]
- S.M. Rump, Verification of positive definiteness. BIT 46 (2006) 433–452. [CrossRef] [MathSciNet] [Google Scholar]
- R. Thom, Les singularités des applications différentiables. Ann. Inst. Fourier Grenoble 6 (1955–1956) 43–87. [CrossRef] [Google Scholar]
- R. Vinter, Optimal control, Systems & Control: Foundations & Applications. Birkhäuser Boston Inc., Boston, MA (2000). [Google Scholar]
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