Section: New Results

Averaging in control and application to space mechanics

Participants : Bernard Bonnard, Jean-Baptiste Caillau, Helen-Clare Henninger, Jana Němcová [Instritute of Chemical Tech, Prague, CZ] , Jean-Baptiste Pomet, Jeremy Rouot.

We have obtained results on the structure of the average system for the planar minimum time problem without perturbation in [4] , and the “double average” that takes the lunar perturbation into account in [13] . This is also the topic of Helen Henninger's PhD [1] .

The structure of the problem where the consumption (i.e. the $L^1$ norm of the control) is minimized is studied in [5] .

The book [16] is a general reference opus edited by members of the team.