Controllability of a nonlinear hybrid system

Abstract

In this paper we study a controllability problem for a
simplified 1-d nonlinear system which models the self-propelled
motion of a rigid body in a fluid located on the real axis. The
control variable is the difference of the velocities of the fluid
and the solid and depends only on time. The main result of the
paper asserts that any final position and velocity of the rigid
body can be reached by a suitable input function.