Controllability properties of a class of systems modeling swimming microscopic organisms
Mario Sigalotti, Jean-Claude Vivalda (2010)
ESAIM: Control, Optimisation and Calculus of Variations
Similarity:
We consider a finite-dimensional model for the motion of microscopic organisms whose propulsion exploits the action of a layer of covering its surface. The model couples Newton's laws driving the organism, considered as a rigid body, with Stokes equations governing the surrounding fluid. The action of the is described by a set of controlled velocity fields on the surface of the organism. The first contribution of the paper is the proof that such a system is generically controllable...