Work

The null boundary controllability for the Mullins equation with periodic boundary conditions

Year: 2023

Type: article

Abstract: In this paper, we study the null controllability of the Mullins equation with the control acting on the periodic boundary. Firstly, using the duality relation between controllability and observability, we express the controllability condition in terms of the solution of the backward adjoint system. After showing the existence and uniqueness of the solution of the adjoint system, we determine the admissible initial data class since the system is not always controllable under these boundary conditions. Finally, using this spectral analysis, we reduce the null controllability problem to the moment problem and solve the problem on this admissible initial class.

Source: An International Journal of Optimization and Control Theories & Applications (IJOCTA)

DOI: 10.11121/ijocta.2023.1283

Author: Isil Oner

Institution: Gebze Technical University

Language: English

Topic: Stability and Controllability of Differential Equations

Subfield: Control and Systems Engineering

Field: Engineering

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4318445765

FWCI: 0.174

Cites: 19

Cited by: 2

Related to: 10