DIFFERENCE APPROXIMATION OF THE OPTIMAL CONTROL PROBLEM FOR A PARABOLIC EQUATION WITH THE QUALITY CRITERIA IN BORDER AREAS
Authors:
Type:
Article
Pages:
from 299
to 302
Status:
Published
Received:
29.08.2014
Accepted:
10.10.2014
Published:
10.10.2014
Language:
Russian
Keywords:
optimal control, parabolic equation, a difference approximation
Abstract (English):
An optimal control problem for a parabolic equation with a quality criterion for the boundary. The questions of the correct setting of, built its difference approximation and estimation of accuracy set by functional difference approximations.
An optimal control problem for a parabolic equation with a quality criterion for the boundary. The questions of the correct setting of, built its difference approximation and estimation of accuracy set by functional difference approximations.
Keywords:
optimal control, parabolic equation, a difference approximation
optimal control, parabolic equation, a difference approximation
Пусть управляемый процесс описывается в следующей начально-краевой задачей для линейного параболического уравнения.
1. Ladyzhenskaya O.A., Solonnikov V.A.,Ural´tseva N.N. Lineynye i kvazilineynye uravneniya parabolicheskogo tipa. M.: Nauka, 1967.
2. Tagiev R.K. Optimal´noe upravlenie koeffitsientami v parabo-licheskikh sistemakh. Differents. uravneniya. 2009. T. 45. №10. s. 1492-1501.
3. Vasil´ev F.P. Metody resheniya ekstremal´nykh zadach. M.: Nauka, 1981
