Optimization problems with concentration and oscillation effects:: Relaxation theory and numerical approximation

被引：22

作者：

Kruzík, M

Roubícek, T

机构：

[1] Acad Sci Czech Republ, Inst Informat Theory & Automat, CZ-18208 Prague 8, Czech Republic

[2] Charles Univ Prague, Math Inst, CZ-18675 Prague 8, Czech Republic

来源：

NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION | 1999年 / 20卷 / 5-6期

关键词：

optimal control; impulse control; oscillations; concentrations; Young measures; DiPerna-Majda measures; weak L-1-compactness; numerical approximation;

D O I：

10.1080/01630569908816908

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The paper deals with optimal control problems for which minimizing (sub)sequences of controls do not converge weakly in L-1 For such problems, here governed by ordinary differential equations, the relaxed (generalized) solutions in terms of DiPerna-Majda measures are defined, correctness of the relaxation is shown and a numerical approximation is developed and tested on model examples.

引用

页码：511 / 530

页数：20

共 31 条

[1]

Alibert J. J., 1997, J CONVEX ANAL, V4, P129

[2] NEW EXISTENCE RESULTS FOR OPTIMAL CONTROLS IN THE ABSENCE OF CONVEXITY - THE IMPORTANCE OF EXTREMALITY [J].