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http://dspace.univ-bouira.dz:8080/jspui/handle/123456789/10163
Title: | Optimal control of partial differential equations based on the Variational Iteration Method |
Authors: | Akkouche, Abderrahmane Maidi, Ahmed Aidene, Mohamed |
Keywords: | Optimal control Minimum principle Partial differential equations Variational Iteration Method Series solution |
Issue Date: | 5-Sep-2014 |
Publisher: | Université Akli Mouhand Oulhadj-Bouira |
Abstract: | In this work, the Variational Iteration Method is used to solve a quadratic optimal control problem of a system governed by linear partial differential equations. The idea consists in deriving the necessary optimality conditions by applying the minimum principle of Pontryagin, which leads to the well-known Hamilton–Pontryagin equations. These linear partial differential equations constitute a multi-point-boundary value problem. To achieve the solution of the Hamilton–Pontryagin equations using the Variational Iteration Method, an approach is proposed and illustrated by two application examples. |
URI: | http://dspace.univ-bouira.dz:8080/jspui/handle/123456789/10163 |
Appears in Collections: | Articles |
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File | Description | Size | Format | |
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1-s2.0-S0898122114003137-main.pdf | 502,56 kB | Adobe PDF | View/Open |
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