Variable Support Control for the Wave Equation - A Multiplier Approach

Antonio Agresti; Daniele Andreucci; Paola Loreti

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Paper

Variable Support Control for the Wave Equation - A Multiplier Approach

Topics: Engineering Applications on Intelligent Control Systems and Optimization; Evolutionary Computation and Control

In Proceedings of the 15th International Conference on Informatics in Control, Automation and Robotics - Volume 1: ICINCO, 33-42, 2018 , Porto, Portugal

Authors: Antonio Agresti ¹ ; Daniele Andreucci ² and Paola Loreti ²

Affiliations: ¹ Mathematics Department, Sapienza University, Piazzale Aldo Moro, 5, 00185, Rome and Italy ; ² SBAI Department, Sapienza University, Via Antonio Scarpa, 16, 00161, Rome and Italy

Keyword(s): Exact Controllability, Wave Equation, Variable Control Subset, Multiplier.

Related Ontology Subjects/Areas/Topics: Evolutionary Computation and Control ; Informatics in Control, Automation and Robotics ; Intelligent Control Systems and Optimization

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.

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Paper citation in several formats:

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; ISSN 2184-2809, SciTePress, pages 33-42. DOI: 10.5220/0006832600330042

@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},
issn={2184-2809},
}

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
IS - 2184-2809
AU - Agresti, A.
AU - Andreucci, D.
AU - Loreti, P.
PY - 2018
SP - 33
EP - 42
DO - 10.5220/0006832600330042
PB - SciTePress