Boundary controllability for a degenerate beam equation

2023/02/13 by Alessandro Camasta, Camasta, Alessandro, Genni Fragnelli +1
Engineering · Mathematics · Computer Science · #Stability and Controllability of Differential Equations #Advanced Mathematical Physics Problems #Advanced Mathematical Modeling in Engineering

paper · pdf · doi:10.48550/arxiv.2302.06453

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 f 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.

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