SIAM Journal on Control and Optimization, Vol.51, No.3, 1841-1872, 2013
NULL CONTROLLABILITY OF A FLUID-STRUCTURE SYSTEM
We study a coupled fluid-structure system. The structure corresponds to a part of the boundary of a domain containing an incompressible viscous fluid. The structure displacement is modeled by an ordinary differential equation. We prove the local null controllability of the system when the control acts on a fixed subset of the fluid domain.
Keywords:controllability;fluid-structure interaction;coupled system;Navier-Stokes equations;beam equation