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Title: Optimal boundary control for hyperdiffusion equation (English)
Author: Heidari, Hanif
Author: Malek, Alaeddin
Language: English
Journal: Kybernetika
ISSN: 0023-5954
Volume: 46
Issue: 5
Year: 2010
Pages: 907-925
Summary lang: English
Category: math
Summary: In this paper, we consider the solution of optimal control problem for hyperdiffusion equation involving boundary function of continuous time variable in its cost function. A specific direct approach based on infinite series of Fourier expansion in space and temporal integration by parts for analytical solution is proposed to solve optimal boundary control for hyperdiffusion equation. The time domain is divided into number of finite subdomains and optimal function is estimated at each subdomain to obtain desired state with minimum energy. Proposed method has high flexibility so that decision makers are able to trace optimal control in a prescribed subinterval. The implementation of the theory is presented and the effectiveness of the boundary control is investigated by some numerical examples. (English)
Keyword: hyperdiffusion equation
Keyword: optimal boundary control
Keyword: swimming at microscale
MSC: 35B37
MSC: 35K35
MSC: 49J20
idZBL: Zbl 1206.35138
idMR: MR2778921
Date available: 2010-12-20T16:07:04Z
Last updated: 2013-09-22
Stable URL:
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