Optimal Control with Time Delays via the Penalty Method

被引：11

作者：

Benharrat, Mohammed ^{[1
]}

Torres, Delfim F. M. ^{[2
]}

机构：

[1] Ecole Natl Polytech Oran Ex ENSET Oran, Dept Math & Informat, El MNaouar 1523, Oran, Algeria

[2] Univ Aveiro, Ctr Res & Dev Math & Applicat CIDMA, Dept Math, P-3810193 Aveiro, Portugal

来源：

MATHEMATICAL PROBLEMS IN ENGINEERING | 2014年 / 2014卷

关键词：

CONTROLLABILITY; SYSTEMS; THEOREM; STATE;

D O I：

10.1155/2014/250419

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

We prove necessary optimality conditions of Euler-Lagrange type for a problem of the calculus of variations with time delays, where the delay in the unknown function is different from the delay in its derivative. Then, a more general optimal control problem with time delays is considered. Main result gives a convergence theorem, allowing us to obtain a solution to the delayed optimal control problem by considering a sequence of delayed problems of the calculus of variations.

引用

页数：9

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