On the regularized solutions of optimal control problem in a hyperbolic system
type: Item
instance of: scholarly article
title: On the regularized solutions of optimal control problem in a hyperbolic system
zbMATH Open document ID: 1248.49009
DOI: 10.1155/2012/156541
author: Yeşim Saraç
author: Murat Subaşı
published in: Abstract and Applied Analysis
publication date: 2012-09-07T00:00:00Z
review text: Summary: We use the initial condition on the state variable of a hyperbolic problem as control function and formulate a control problem whose solution implies the minimization at the final time of the distance measured in a suitable norm between the solution of the problem and given targets. We prove the existence and the uniqueness of the optimal solution and establish an optimality condition. An iterative algorithm is constructed to compute the required optimal control as limit of a suitable subsequence of controls. An iterative procedure is implemented and used to numerically solve some test problems.
Mathematics Subject Classification ID: 49J20
Mathematics Subject Classification ID: 49K20
Mathematics Subject Classification ID: 49M30
Mathematics Subject Classification ID: 49N60
zbMATH DE Number: 6078669
Wikidata QID: Q58694958
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2012/156541
OpenAlex ID: W2006147399
cites work: Q5686363
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description: scientific article; zbMATH DE number 6078669