Mahjoub, A. Ridha ; Laghrib, A. ; Metrane, A.(éd.)
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.
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DOI : 10.1051/ro/2022080
Keywords: Inverse problem, Delay differential equation, necessary optimality conditions, numerical approximation, parallel evolutionary algorithms
@article{RO_2022__56_3_1553_0,
author = {Nachaoui, Mourad and Nachaoui, Abdeljalil and Tadumadze, Tamaz},
editor = {Mahjoub, A. Ridha and Laghrib, A. and Metrane, A.},
title = {On the numerical approximation of some inverse problems governed by nonlinear delay differential equation},
journal = {RAIRO. Operations Research},
pages = {1553--1569},
year = {2022},
publisher = {EDP-Sciences},
volume = {56},
number = {3},
doi = {10.1051/ro/2022080},
mrnumber = {4445954},
zbl = {1495.49022},
language = {en},
url = {https://www.numdam.org/articles/10.1051/ro/2022080/}
}
TY - JOUR AU - Nachaoui, Mourad AU - Nachaoui, Abdeljalil AU - Tadumadze, Tamaz ED - Mahjoub, A. Ridha ED - Laghrib, A. ED - Metrane, A. TI - On the numerical approximation of some inverse problems governed by nonlinear delay differential equation JO - RAIRO. Operations Research PY - 2022 SP - 1553 EP - 1569 VL - 56 IS - 3 PB - EDP-Sciences UR - https://www.numdam.org/articles/10.1051/ro/2022080/ DO - 10.1051/ro/2022080 LA - en ID - RO_2022__56_3_1553_0 ER -
%0 Journal Article %A Nachaoui, Mourad %A Nachaoui, Abdeljalil %A Tadumadze, Tamaz %E Mahjoub, A. Ridha %E Laghrib, A. %E Metrane, A. %T On the numerical approximation of some inverse problems governed by nonlinear delay differential equation %J RAIRO. Operations Research %D 2022 %P 1553-1569 %V 56 %N 3 %I EDP-Sciences %U https://www.numdam.org/articles/10.1051/ro/2022080/ %R 10.1051/ro/2022080 %G en %F RO_2022__56_3_1553_0
Nachaoui, Mourad; Nachaoui, Abdeljalil; Tadumadze, Tamaz. On the numerical approximation of some inverse problems governed by nonlinear delay differential equation. RAIRO. Operations Research, Tome 56 (2022) no. 3, pp. 1553-1569. doi: 10.1051/ro/2022080
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