The Classical Continuous Optimal Control for Quaternary parabolic boundary value problem

Authors

  • Jamil A. Ali Al-Hawasy Department of Mathematics, College of Science, Mustansiriyah University, Baghdad, Iraq
  • Wissam A. Abdul-Hussien Al-Anbaki Department of Mathematics, College of Science, Mustansiriyah University, Baghdad, Iraq

DOI:

https://doi.org/10.24996/ijs.2023.64.2.23

Keywords:

Quaternary Linear Parabolic Boundary Value Problems, Fréchet derivative, Necessary Conditions for the Optimality

Abstract

     The aim of this paper is to study the quaternary classical continuous optimal control for a quaternary linear parabolic boundary value problems(QLPBVPs). The existence and uniqueness theorem of the continuous quaternary state vector solution  for the weak form of the QLPBVPs with given quaternary classical continuous control vector (QCCCV)  is stated and proved via the Galerkin Method. In addition, the existence theorem of a quaternary classical continuous optimal control vector governinig by the QLPBVPs is stated and demonstrated. The Fréchet derivative for the cost function is derived. Finally, the necessary conditions for the optimality theorem  of the proposed problem is stated and  demonstrated.

Downloads

Published

2023-02-28

Issue

Section

Mathematics

How to Cite

The Classical Continuous Optimal Control for Quaternary parabolic boundary value problem. (2023). Iraqi Journal of Science, 64(2), 768-782. https://doi.org/10.24996/ijs.2023.64.2.23

Similar Articles

1-10 of 836

You may also start an advanced similarity search for this article.

Most read articles by the same author(s)