An approach for simultaneously determining the optimal trajectory and control of a vibrating shell

Abstract EN

In this article, for a two-dimensional wave control system, we are going to present a new combinational solution path.

First, by considering all necessary conditions, the problem is represented in a variational format in which the trajectory is shown by a trigonometric series with the unknown coecients.

Then the problem is converted into a new one that the unknowns are the mentioned coecients and a positive Radon measure.

It is proved that the optimal solution is existed and it is also explained how the optimal pair would be identied from the results deduced by a nite linear programming problem simultaneously.

Two numerical examples are also given.