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

Our goal is to develop methods in geometric control theory for nonlinear systems, mostly finite dimensional, and to transfer our expertise through real applications of these methods. The methodological developments range from feedback control and observers to optimal control, extending to fields like sub-Riemannian geometry. Optimal control leads to developments in Hamiltonian dynamics, and also requires sophisticated numerics, to which the team contributes too. Dynamical systems and modeling are also part of the background of the team.

Our primary domain of industrial applications in the past years has been space engineering, in particular using optimal control and stabilization techniques for mission design with low thrust propulsion: orbit transfer or rendez-vous problems in the gravity field of a single body (typically satellites around the earth), interplanetary missions and multi body problems, or control design of solar sails, where propulsion is drastically constrained.

The team also has continued involvement with applications regarding human bio-mechanics (muscle stimulation), and various modeling and control questions in biology (Lotka-Volterra models, bacterial growth, microbiome models, networks of chemical reaction…). The list is not exhaustive; past domains of application include swimming al low Reynolds number (micro-swimmers) and control of quantum systems for Magnetic Resonance Imaging.

You may find here our annual activity reports since 2012.

Séminaire McTAO : Emre Baspinar (Inria, MathNeuro) – 7 mai 2024

Modeling of orientation preference map construction Emre Baspinar (Inria, MathNeuro) Mardi 7 mai, 11h00, salle Coriolis (Galois). Abstract. In this talk, I will first present a geometric framework describing the functional architecture of the primary visual cortex (V1). This framework is based on an anisotropic, degenerate geometry known as sub-Riemannian geometry. Then, we will see …

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Séminaire McTAO : Michel de Lara (CERMICS, École des Ponts ParisTech) – 22 avril 2024

Hidden Convexity in the l0 Pseudonorm and in Sparse Optimization Michel de Lara (CERMICS, École des Ponts ParisTech) Lundi 22 avril, 11h00, salle Coriolis (Galois). Abstract. The so-called l0 pseudonorm counts the number of nonzero entries of a vector. As a function, it is piecewise constant. However, we show that the l0 pseudonorm displays hidden …

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Séminaire McTAO : Romain Veltz (Inria, Cronos) – 18 mars 2024

Some recent results on mean fields of networks of spiking neurons Romain Veltz (Inria, Cronos) Lundi 18 mars, 11h00, salle Coriolis (Galois). Abstract. In this talk, I will present recent results regarding the dynamics of networks of stochastic spiking neurons. This network is an elaboration of the one introduced in [De Masi et al. 2014] …

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Exposé A. Montoison (GERAD) – 13 mars 2024, salle Coriolis (Galois)

Enhancing nonlinear optimization through GPU computing Abstract. This presentation delves into the realm of GPU programming, with a specific focus on the utilization of two Julia packages: CUDA.jl and CUDSS.jl, designed to facilitate GPU computing within the Julia programming language ecosystem.The objective is to showcase the capabilities of these packages and demonstrate their significance in …

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