2 citations · 3 across the 4 of their papers we have counts for
4 papers
Optimal control of oscillatory neuronal models with applications to communication through coherence
Michael Orieux, Antoni Guillamon, Gemma Huguet
Macroscopic oscillations in the brain are involved in various cognitive and physiological processes, yet their precise function is not not completely understood. Communication Thro…
Sufficient conditions for time optimality of systems with control on the disk
Jean-Baptiste Caillau, Michael Orieux
The case of time minimization for affine control systems with control on the disk is studied. After recalling the standard sufficient conditions for local optimality in the smooth…
Singularities of optimal time control-affine systems: the limit case
M. Orieux, R. Roussarie
We study the singularities for minimum time control-affine problems in 4D with 2D controls. After regularization, the problem boils down to the study of a bifurcation around some n…
Non-integrability of the minimum-time Kepler problem
Michael Orieux, Jean-Baptiste Caillau, Jacques Féjoz +1
We prove that the minimum-time controlled Kepler problem is not Liouville integrable in the class of meromorphic functions, via the Moralès-Ramis theory.