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.

McTAO has also co-founded the joint team GCAM (Geometric Control and Applications in Mechanics) between Technion and Inria.

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.

Stage M2 – Courbes planes de longueur minimale à courbure modérée et applications

Proposition de stage M2 (2018) Inria Sophia Antipolis Courbes planes de longueur minimale à courbure modérée et applications Un problème de contrôle optimal aujourd’hui classique (voir [3] et de nombreuses généralisations comme [2]) est la recherche de la courbe de longueur minimale parmi celles qui ont une courbure bornée par une valeur donnée et qui …

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L. Poggiolini (Firenze Univ.) – Sufficient conditions for strong local optimality in a Bolza problem with a nonsmooth cost. Inria (Sophia), Jan. 29 2018

Laura Poggiolini (Firenze Univ.) Sufficient conditions for strong local optimality in a Bolza with a non smooth cost Inria (Sophia), Jan. 29 2018, 10:00 (salle Galois Coriolis) Second order sufficient conditions for strong local optimality of Pontryagin extremals have been provided in quite a number of different situations: Bang-bang extremals, singular extremals, partially singular extremals, …

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UCA Complex Days (Nice, January 11 2018)

McTAO @ UCA Complex Days Two talks by members of the team. Stability analysis of high frequency nonlinear amplifiers via harmonic identification Jean-Baptiste Pomet Keywords. stability analysis, delay systems, nonlinear circuits, perturbation of linear operators, functional differential equations of neutral type , harmonic balance Nonlinear hyperfrequency amplifiers contain nonlinear active components and lines, that can be …

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S. Sabau (Tokai Univ.) – The global behaviour of geodesics on Finsler surfaces. LJAD (Nice), Nov. 7 2017

Sorin Sabau (Tokai Univ.) The global behaviour of geodesics on Finsler surfaces. LJAD (Nice), Nov. 7 2017 We will present some basic facts on the local and global geometry of geodesics on Finsler surfaces. These properties are closely related to the notions of conjugate and cut locus. In particular, we will show how the global …

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