EULER APPROXIMATION OF THE FEASIBLE SET

被引：6

作者：

DONTCHEV, AL

HAGER, WW

机构：

[1] MATH REVIEWS,ANN ARBOR,MI 48107

[2] UNIV FLORIDA,GAINESVILLE,FL 32611

来源：

NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION | 1994年 / 15卷 / 3-4期

关键词：

D O I：

10.1080/01630569408816564

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We estimate the distance between solutions of a boundary value problem with a control and of its discrete approximation provided by the Euler scheme. Our analysis is based on an abstract inverse-mapping-type theorem for sequences of set-valued maps. As an application we obtain an estimate of the discretization error for the cost functional in optimal control.

引用

页码：245 / 261

页数：17

共 16 条

[1] LIPSCHITZ BEHAVIOR OF SOLUTIONS TO CONVEX MINIMIZATION PROBLEMS [J].