Pointwise controllability as limit of internal controllability for the beam equation

TL;DR

This paper proves that pointwise controllability of the Bernoulli-Euler beam equation can be achieved as a limit of its internal controllability, linking two control concepts.

Contribution

It establishes a novel connection showing pointwise controllability as a limit case of internal controllability for the beam equation.

Findings

Pointwise controllability is achievable for the Bernoulli-Euler beam.

Pointwise controllability can be derived as a limit of internal controllability.

The work provides a new approach to control theory for beam equations.

Abstract

This work is devoted to prove the pointwise controllability of the Bernoulli-Euler beam equation. It is obtained as a limit of internal controllability of the same type of equation.