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.

Deux exposés d’Alain Chenciner (Paris) au LJAD – 8 et 9 octobre 2018

Alain CHENCINER (Université Paris 7, Observatoire de Paris, CNRS, Paris) Colloquium : salle de conférences du LJAD, lundi 8 octobre à 12:00 Equilibres relatifs de n corps en grandes dimensions Résumé Les équations du problème des n corps d^2(ri)/dt^2 = sum_{j/=i}(mj (rj – ri) / ||rj – ri||^3) régissent les mouvements de n particules ponctuelles ri …

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Optimal control session at ISMP2018 – July 3, Bordeaux

Optimal control session at ISMP2018 – July 3, Bordeaux Organizers: J.-B. Caillau (Nice) & H. Zidani (Saclay) Room: Auriac, 15:15-16:45 15:15 Damien Allonsius (Marseille) – Spectral analysis of an elliptic operator and application in control theory 15:45 Francesca Chittaro (Toulon) – Strong local optimality for generalised L1 optimal control problems 16:15 Zhen Chen (Haifa) – …

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Robert Roussarie (Dijon) – Forme normale et transition. Vendredi 8 juin 2018 (Paris)

Robert Roussarie (Dijon) – Forme normale et transition Séminaire de géométrie hamiltonienne, 10:30-12:30 salle 15-25.502 (Jussieu) Résumé. L’existence de formes normales C∞ pour les champs de vecteurs, au voisinage de points partiellement hyperboliques, permet d’obtenir sans calculs excessifs la forme de la transition au voisinage de ces points. Par exemple, en utilisant une forme normale C∞, il …

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Zheng Chen (Technion) – Shortest Dubins Paths through Three Points. Friday 6 July 2018, 11:00-12:00

Zheng Chen (Technion) – Shortest Dubins Paths through Three Points Friday 6 July 2018, 11:00-12:00 (salle Galois Coriolis, Inria Sophia) Abstract. The Dubins vehicle, moving only forward at a constant speed with a minimum turning radius, provides a good kinematic prototype for various types of nonholonomic robots, such as unmanned aerial vehicles and fixed-wing aircrafts. In …

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