About McTAO team

McTAO (Mathematics for Control, Transport and their ApplicatiOns) is an Inria Team, common with Université Côte d’Azur & CNRS (Laboratoire J.-A. Dieudonné) and in an agreement with Université de Bourgogne Franche-Comté & CNRS (Institut de Mathématiques de Bourgogne).  Members are located in Sophia Antipolis, Nice and Dijon.

Overall Objectives

The core endeavor of this team is to develop methods in control theory for finite-dimensional nonlinear systems, as well as in optimal transport, and to be involved in real applications of these techniques. Some mathematical fields like dynamical systems and optimal transport may benefit from control theory techniques. Our primary domain of industrial applications will be space engineering, namely designing trajectories in space mechanics using optimal control and stabilization techniques: Transfer of a satellite between two Keplerian orbits, rendez-vous problem, transfer of a satellite from the Earth to the Moon or more complicated space missions. A second field of applications is quantum control with applications to Nuclear Magnetic Resonance and medical image processing. A third and more recent one is the control of micro-swimmers, i.e. swimming robots where the fluid-structure coupling has a very low Reynolds number.

Séminaire GAD de Sorin Sabau (U. Tokai) – On the calculus of variations on Finsler manifolds. Mardi 28 mai 2019 (salle I LJAD)

Sorin Sabau (U. Tokai) On the calculus of variations on Finsler manifolds Abstract In the present talk we will review some basic facts on the calculus of variations on Finsler manifolds focusing in particular on Randers and Kropina manifolds. We will consider both Lagrangian and Hamiltonian formalism and show how the Legendre transform works in Finsler …

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Séminaire GAD M. Orieux (SISSA) – Mardi 9 avril 2019, LJAD (salle I)

     Michael Orieux (SISSA) Résumé. Optimal control of systems whose dynamics are affine in the control have a wide range of applications, from energy minimisation in orbit transfer problems to quantum control. The necessary conditions give the optimal trajectory as the projection of the integral curves of an Hamiltonian system defined on the cotangent bundle of …

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Séminaire GAD d’Alain Albouy (Observatoire de Paris) – Mardi 2 avril 2019, LJAD

Alain Albouy – Théorème de Lambert et dynamique projective Mardi 2 avril 2019, salle I du LJAD Résumé. Paul Appell a remarqué en 1890 que les systèmes dynamiques définis par des champs de forces se projettent centralement les uns sur les autres, avec un changement de temps. Par exemple, le problème de Kepler se projette …

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Cut Locus 2018 – Sep. 3-6, Sapporo

The Cut Locus 2018 September 3 – 6, Tokai University (Sapporo Campus)   Objectives The cut locus appears in various fields of Mathematics as a set of singular points of the distance function or the exponential map on a manifold. It should be emphasized that the cut locus has been actively studied in both fields of …

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