On optimal control of the initial velocity of an Euler-Bernoulli beam system
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Published:2022
Issue:Spec. issue 2
Volume:26
Page:735-744
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ISSN:0354-9836
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Container-title:Thermal Science
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language:en
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Short-container-title:THERM SCI
Author:
Engin Arif1, Sarac Yesim1, Celik Ercan2
Affiliation:
1. Department of Mathematics, Faculty of Science, Ataturk University, Erzurum, Turkey 2. Department of Applied Mathematics and Informatics, Faculty of Science, Kyrgyz-Turkish Manas University, Bishkek, Kyrgyzstan
Abstract
In this study, we consider an optimal control problem for an Euler-Bernoulli
beam equation. The initial velocity of the system is given by the control
function. We give sufficient conditions for the existence of a unique
solution of the hyperbolic system and prove that the optimal solution for
the considered optimal control problem is exists and unique. After
obtaining the Frechet derivative of the cost functional via an adjoint
problem, we also give an iteration algorithm for the numerical solution of
the problem by using the Gradient method. Finally, we furnish some
numerical examples to demonstrate the effectiveness of the result obtained.
Publisher
National Library of Serbia
Subject
Renewable Energy, Sustainability and the Environment
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