Boundary controllability for a degenerate beam equation

Author:

Camasta Alessandro1,Fragnelli Genni2ORCID

Affiliation:

1. Mathematics Department University of Bari Aldo Moro Bari Italy

2. Department of Ecology and Biology Tuscia University Viterbo Italy

Abstract

The paper deals with the controllability of a degenerate beam equation. In particular, we assume that the left end of the beam is fixed, while a suitable control acts on the right end of it. As a first step, we prove the existence of a solution for the homogeneous problem, then we prove some estimates on its energy. Thanks to them, we prove an observability inequality, and using the notion of solution by transposition, we prove that the initial problem is null controllable.

Publisher

Wiley

Subject

General Engineering,General Mathematics

Reference23 articles.

1. A.CamastaandG.Fragnelli Degenerate fourth order parabolic equations with Neumann boundary conditions.Analysis and numerics of design control and inverse problems INdAM‐Springer 2022; arXiv:2203.02739.

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3. On boundary controllability of a vibrating plate

4. Exact Boundary Controllability of a Hybrid System of elasticity by the HUM Method

5. Recent progress in exact boundary controllability and uniform, stabilizability of thin beams and plates. Distributed parameter control systems;Lagnese J. E.;New Trends Appl. Lect. Notes Pure Appl. Math.,1990

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