On solution of an optimal control problem governed by a linear wave equation

Year 2016, Volume: 4 Issue: 4, 245 - 252, 31.12.2016

Yesim Sarac

Abstract

This paper studies the minimization problem governed
by a wave equation with homogeneous Neumann boundary condition and where the
control function is a initial velocity of the system. We give necessary
conditions for the existence and uniqueness of the optimal solution. We get the
Frechet derivation of the cost functional via the solution of the corresponding
adjoint problem. We construct a minimizing sequence and show that the limit of
the minimizing sequence is the solution of the optimal control problem.

Keywords

Wave equation, adjoint problem, optimization

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