SUFFICIENT CONDITIONS FOR VARIATIONAL-PROBLEMS WITH DELAYED ARGUMENT

被引：22

作者：

CHAN, WL ^{[1
]}

YUNG, SP ^{[1
]}

机构：

[1] UNIV HONG KONG,DEPT MATH,HONG KONG,HONG KONG

来源：

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS | 1993年 / 76卷 / 01期

关键词：

CALCULUS OF VARIATIONS; DELAYED ARGUMENTS; SUFFICIENT CONDITIONS; RICCATI DIFFERENTIAL INEQUALITY;

D O I：

10.1007/BF00952825

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：

Various first-order and second-order sufficient conditions of optimality for calculus of variations problems with delayed argument are formulated. The cost functionals are not required to be convex. A second-order sufficient condition is shown to be related to the existence of solutions of a Riccati-type matrix differential inequality.

引用

页码：131 / 144

页数：14

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