Homogenization of optimal control problems for functional differential equations

被引：11

作者：

Buttazzo, G

Drakhlin, ME

Freddi, L

Stepanov, E

机构：

[1] COLL JUDEA & SAMARIA,RES INST,KEDUMIM ARIEL,ISRAEL

[2] UNIV UDINE,DIPARTIMENTO MATEMAT & INFORMAT,I-33100 UDINE,ITALY

[3] INST FINE MECH & OPT,ST PETERSBURG,RUSSIA

来源：

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS | 1997年 / 93卷 / 01期

关键词：

optimal control; variational convergence; functional differential equations;

D O I：

10.1023/A:1022649817825

中图分类号：

C93 [管理学]; O22 [运筹学];

学科分类号：

070105 ; 12 ; 1201 ; 1202 ; 120202 ;

摘要：

The paper deals with the variational convergence of a sequence of optimal control problems for functional differential state equations with deviating argument. Variational limit problems are found under various conditions of convergence of the input data. It is shown that, upon sufficiently weak assumptions on convergence of the argument deviations, the limit problem can assume a form different from that of the whole sequence. In particular, it can be either an optimal control problem for an integro-differential equation or a purely variational problem. Conditions are found under which the limit problem preserves the form of the original sequence.

引用

页码：103 / 119

页数：17