Optimal Control Problem Governed by an Evolution Equation and Using Bilinear Regular Feedback

Author:

Shuwaysh Alanazi Badriah1,Ould Sidi Maawiya1ORCID

Affiliation:

1. RT-M2A Laboratory, Mathematics Department, College of Science, Jouf University, P.O. Box: 2014, Sakaka, Saudi Arabia

Abstract

We solve an optimal control problem governed by an evolution equation using bilinear regular feedback. Using optimization techniques, we show how to approximate the flow of a reaction-diffusion bilinear system by a desired target. For application, we consider the regional flow problem constrained by a bilinear distributed system. The paper ends by an example illustrating the numerical approach of the proposed method.

Funder

Deanship of Graduate Studies at Jouf University

Publisher

Hindawi Limited

Subject

General Mathematics

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