Variable Support Control for the Wave Equation - A Multiplier Approach

Antonio Agresti, Daniele Andreucci, Paola Loreti

2018

Abstract

We study the controllability of the multidimensional wave equation in a bounded domain with Dirichlet boundary condition, in which the support of the control is allowed to change over time. The exact controllability is reduced to the proof of the observability inequality, which is proven by a multiplier method. Besides our main results, we present some applications.

Paper Citation

in Harvard Style

Agresti A., Andreucci D. and Loreti P. (2018). Variable Support Control for the Wave Equation - A Multiplier Approach.In Proceedings of the 15th International Conference on Informatics in Control, Automation and Robotics - Volume 1: ICINCO, ISBN 978-989-758-321-6, pages 33-42. DOI: 10.5220/0006832600330042

in Bibtex Style

@conference{icinco18,
author={Antonio Agresti and Daniele Andreucci and Paola Loreti},
title={Variable Support Control for the Wave Equation - A Multiplier Approach},
booktitle={Proceedings of the 15th International Conference on Informatics in Control, Automation and Robotics - Volume 1: ICINCO,},
year={2018},
pages={33-42},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0006832600330042},
isbn={978-989-758-321-6},
}

in EndNote Style

TY - CONF

JO - Proceedings of the 15th International Conference on Informatics in Control, Automation and Robotics - Volume 1: ICINCO,
TI - Variable Support Control for the Wave Equation - A Multiplier Approach
SN - 978-989-758-321-6
AU - Agresti A.
AU - Andreucci D.
AU - Loreti P.
PY - 2018
SP - 33
EP - 42
DO - 10.5220/0006832600330042