Abstract—This study aims to investigate the optimality conditions in an optimal control problem governed by a hyperbolic problem. In the problem of vibration of one dimensional wire, the minimization of the distance between the end points of wire and the desired target functions is carried out by controlling the tensions of end points.
Index Terms—Optimal control, optimal solutions, second-order hyperbolic equations.
Murat Subaşı, Hakkı Güngör, Seda İğret Araz are with the Ataturk University, Science Faculty, Department of Mathematics, 25240, Erzurum, Turkey (e-mail: msubasi@ atauni.edu.tr, hakki.gungor11@ogr.atauni.edu.tr, seda.araz@ atauni.edu.tr).
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Cite: Murat Subaşi, Hakki Güngör, and Seda Iğret Araz, "On the Control of End Point Tensions in a Vibration Problem," International Journal of Modeling and Optimization vol. 7, no. 2, pp. 74-77, 2017.
