Solving the optimal control problem of the parabolic PDEs in exploitation of oil

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:340

Article

Effati, S.¹  Janfada, M.¹  Esmaeili, M.¹ 

[1] Tarbiat Moallem Univ Sabzevar, Dept Math, Sabzevar, Iran

关键词: weak coupled parabolic PDEs;    optimal control;    measure theory;    atomic measure;    linear programming;    approximation;   

DOI  :  10.1016/j.jmaa.2007.08.037

来源: Elsevier

【 摘 要 】

In this paper, the optimal control problem is governed by weak coupled parabolic PDEs and involves pointwise state and control constraints. We use measure theory method for solving this problem. In order to use the weak solution of problem, first problem has been transformed into measure form. This problem is reduced to a linear programming problem. Then we obtain an optimal measure which is approximated by a finite combination of atomic measures. We find piecewise-constant optimal control functions which are an approximate control for the original optimal control problem. (C) 2007 Elsevier Inc. All rights reserved.

【 授权许可】

Free