On the numerical approximation of some inverse problems governed by nonlinear delay differential equation

被引：6

作者：

Nachaoui, Mourad ^{[1
]}

Nachaoui, Abdeljalil ^{[2
]}

Tadumadze, Tamaz ^{[3
]}

机构：

[1] Univ Sultan Moulay Slimane, EMI, Beni Mellal, Morocco

[2] Univ Nantes, Lab Math Jean Leray, CNRS, UMR6629, Nantes, France

[3] Tbilisi State Univ, Tbilisi, Georgia

来源：

RAIRO-OPERATIONS RESEARCH | 2022年 / 56卷 / 03期

关键词：

Inverse problem; delay differential equation; necessary optimality conditions; numerical approximation; parallel evolutionary algorithms; IDENTIFICATION;

D O I：

10.1051/ro/2022080

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：

The paper deals with the approximate solving of an inverse problem for the nonlinear delay differential equation, which consists of finding the initial moment and delay parameter based on some observed data. The inverse problem is considered as a nonlinear optimal control problem for which the necessary conditions of optimality are formulated and proved. The obtained optimal control problem is solved by a method based on an improved parallel evolutionary algorithm. The efficiency of the proposed approach is demonstrated through various numerical experiments.

引用

页码：1553 / 1569

页数：17

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