Volume 56, Number 3, May-June 2022
Recent developments of operations research and data sciences
|Page(s)||1553 - 1569|
|Published online||30 June 2022|
On the numerical approximation of some inverse problems governed by nonlinear delay differential equation
(EMI), Université Sultan Moulay Slimane, Béni-Mellal, Morocco
2 Laboratoire de Mathématiques Jean Leray UMR6629 CNRS / Université de Nantes, Nantes, France
3 Tbilisi State University, Tbilisi, Georgia
* Corresponding author: email@example.com
Accepted: 18 May 2022
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.
Mathematics Subject Classification: 34K05 (34A12) / 34A55 / 65Y05 / 68W50
Key words: Inverse problem / delay differential equation / necessary optimality conditions / numerical approximation / parallel evolutionary algorithms
© The authors. Published by EDP Sciences, ROADEF, SMAI 2022
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