A Maximum Principle for an Optimal Control Problem with Integral Constraints

被引：30

作者：

Bakke, V. L. ^{[1
]}

机构：

[1] Univ Arkansas, Fayetteville, AR 72701 USA

来源：

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS | 1974年 / 13卷 / 01期

关键词：

Control theory; maximum principle; integral equations; Volterra equations; Fredholm equations; necessary conditions;

D O I：

10.1007/BF00935608

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：

In this paper, necessary conditions are obtained for an optimal control problem whose state variables are given in terms of integral equations. The conditions are Obtained separately for Volterra equations and Fredholm equations. The main result for each case is the maximum principle and multiplier rule.. For the Volterra equations, transversality conditions are obtained.

引用

页码：32 / 55

页数：24