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H 1 On the space highway to Lagrange points!

Auteurs : Trélat, Emmanuel (Auteur de la Conférence)
CIRM (Editeur )

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controllability - car parking controllability - convex body optimal control cycloïd curve aerospace optimal control applications stabilization - inverted pendulum Lagrange points low cost trajectories gravity currents

Résumé : Everything is under control: mathematics optimize everyday life.
In an empirical way we are able to do many things with more or less efficiency or success. When one wants to achieve a parallel parking, consequences may sometimes be ridiculous... But when one wants to launch a rocket or plan interplanetary missions, better is to be sure of what we do.
Control theory is a branch of mathematics that allows to control, optimize and guide systems on which one can act by means of a control, like for example a car, a robot, a space shuttle, a chemical reaction or in more general a process that one aims at steering to some desired target state.
Emmanuel Trélat will overview the range of applications of that theory through several examples, sometimes funny, but also historical. He will show you that the study of simple cases of our everyday life, far from insignificant, allow to approach problems like the orbit transfer or interplanetary mission design.

Keywords : control theory; optimal control; stabilization; optimization; aerospace; Lagrange points; dynamical systems; mission design

Codes MSC :
37N05 - Dynamical systems in classical and celestial mechanics
37N35 - Dynamical systems in control
49J15 - Optimal control problems involving ordinary differential equations
65H20 - Global methods, including homotopy approaches
90C31 - Sensitivity, stability, parametric optimization
93B27 - Geometric methods
93B40 - Computational methods
93B50 - Synthesis problems

    Informations sur la Vidéo

    Langue : Anglais
    Date de publication : 20/01/14
    Date de captation : 19/10/13
    Collection : Special events ; Lagrange Days ; Control Theory and Optimization ; Dynamical Systems and Ordinary Differential Equations
    Format : QuickTime (.mov) Durée : 00:48:25
    Domaine : Control Theory & Optimization ; Dynamical Systems & ODE
    Audience : Chercheurs ; Etudiants Science Cycle 2 ; Doctorants , Post - Doctorants
    Download : https://videos.cirm-math.fr/2013-10-19_Trelat.mp4

Informations sur la rencontre

Nom de la rencontre : Lagrange Days / Journées Lagrange
Organisateurs de la rencontre : Benzoni-Gavage, Sylvie ; Jouve, Guillaume
Dates : 18/10/13 - 19/10/13
Année de la rencontre : 2013
URL Congrès : http://math.univ-lyon1.fr/homes-www/benz...

Citation Data

DOI : 10.24350/CIRM.V.18444903
Cite this video as: Trélat, Emmanuel (2013). On the space highway to Lagrange points!. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.18444903
URI : http://dx.doi.org/10.24350/CIRM.V.18444903

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