Homogenization of an optimal control problem

被引：37

作者：

Kesavan, S

Paulin, JSJ

机构：

[1] TATA INST FUNDAMENTAL RES,BANGALORE CTR,BOMBAY,MAHARASHTRA,INDIA

[2] UNIV METZ,DEPT MATH,F-57045 METZ 01,FRANCE

来源：

SIAM JOURNAL ON CONTROL AND OPTIMIZATION | 1997年 / 35卷 / 05期

关键词：

homogenization; H-convergence; optimal control;

D O I：

10.1137/S0363012994271843

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

We consider an optimal control problem in which both the state equation and the cost functional have rapidly oscillating coefficients (characterized respectively by matrices A(epsilon) and B-epsilon, where epsilon is a small parameter). We make no periodicity assumption. We study the limit of the problem when epsilon --> 0 and work in the framework of H-convergence. We prove that the limit satisfies a problem similar to the original one but with matrices A(0) (the H-limit of A(epsilon)) and B-# (which is a perturbation of the H-limit B-0 of B-epsilon). We also study some particular cases. This paper extends former results obtained by Kesavan and Vanninathan in the periodic case.

引用

页码：1557 / 1573

页数：17