Some remarks on existence results for optimal boundary control problems

被引：0
|
作者：
Pedregal, P [1 ]
机构：
[1] Univ Castilla La Mancha, ETSI Ind, E-13071 Ciudad Real, Spain
来源：
ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS | 2003年 / 9卷
关键词：
boundary controls; vector variational problems; gradient Young measures;
D O I：
10.1051/cocv:2003021
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
An optimal control problem when controls act on the boundary can also be understood as a variational principle under differential constraints and no restrictions on boundary and/or initial values. From this perspective, some existence theorems can be proved when cost functionals depend on the gradient of the state. We treat the case of elliptic and non-elliptic second order state laws only in the two-dimensional situation. Our results are based on deep facts about gradient Young measures.
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页码：437 / 448
页数：12
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