Remark on controllability to trajectories of a simplified fluid-structure iteration model

TL;DR

This paper proves the exact controllability of a simplified fluid-structure interaction model, allowing control to follow non-stationary trajectories, expanding the understanding of controllability in fluid dynamics systems.

Contribution

It introduces a new controllability result for a simplified fluid-structure model that does not require the target trajectory to be stationary.

Findings

Proves exact controllability to arbitrary trajectories.

Demonstrates controllability without stationary trajectory assumption.

Extends previous results in fluid-structure control theory.

Abstract

We prove the exact controllability result to trajectories of a simplified model of motion of a rigid body in fluid flow. Unlike a previously know results such a trajectory does not need to be a stationary solution.