Near-optimal controls of a class of Volterra integral systems

被引：16

作者：

Pan, LP ^{[1
]}

Teo, KL

机构：

[1] Fudan Univ, Dept Math, Shanghai 200433, Peoples R China

[2] Hong Kong Polytech Univ, Dept Appl Math, Hong Kong, Peoples R China

来源：

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS | 1999年 / 101卷 / 02期

基金：

澳大利亚研究理事会;

关键词：

near-optimal controls; optimal controls; Volterra integral systems; necessary and sufficient conditions; control parametrization;

D O I：

10.1023/A:1021741627449

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 a recent paper by Zhou (Ref. 1), the concept of near-optimal controls was introduced for a class of optimal control problems involving ordinary differential equations. Necessary and sufficient conditions for near-optimal controls were derived. This paper extends the results obtained by Zhou to a class of optimal control problems involving Volterra integral equations. The results are applied to study near-optimal controls obtained by the control parametrization method.

引用

页码：355 / 373

页数：19

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