Please use this identifier to cite or link to this item: 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
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