Page
106-110
Abstract
In the paper, optimal control problem for cooling process with minimum energy in materials with heat conducting viscosity is considered. To solve approximately the considered problem, a finite-dimensional approximation for the solution of the corresponding boundary value problem in the form of truncated Fourier series is constructed and an integral representation for the coefficients of this series is obtained. This yields a system of integral equations with respect to control parameters. So, the problem is reduced to finding a minimum norm function from these moment relations. Applying the theorem on orthogonal decomposition of a normalized space, every approximation of control parameter and the corresponding value of a functional in analytic form is finded.
Recommended Citation
Azerbaijan State Oil and Industry University; MAMMADOV, R.S.; and QASIMOV, S.Y.
(2022)
"Approximate solution of optimal control problem for cooling process with minimum energy,"
Baku Mathematical Journal: Vol. 1:
Iss.
1, Article 11.
DOI: 10.32010/j.bmj.2022.11
Available at:
https://www.bakumathj.org/home/vol1/iss1/11