Necessary and sufficient conditions of optimality for a damped hyperbolic equation in one-space dimension
type: Item
instance of: scholarly article
title: Necessary and sufficient conditions of optimality for a damped hyperbolic equation in one-space dimension
zbMATH Open document ID: 1472.49006
DOI: 10.1155/2014/493130
author: Ismail Kucuk
author: Kenan Yildirim
published in: Abstract and Applied Analysis
publication date: 2019-02-14T00:00:00Z
review text: Summary: The present paper deals with the necessary optimality condition for a class of distributed parameter systems in which the system is modeled in one-space dimension by a hyperbolic partial differential equation subject to the damping and mixed constraints on state and controls. Pontryagin maximum principle is derived to be a necessary condition for the controls of such systems to be optimal. With the aid of some convexity assumptions on the constraint functions, it is obtained that the maximum principle is also a sufficient condition for the optimality.
Mathematics Subject Classification ID: 49J20
Mathematics Subject Classification ID: 49K15
zbMATH DE Number: 7022482
zbMATH Keywords: damped hyperbolic equation
zbMATH Keywords: maximum principle
Wikidata QID: Q59038743
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/493130
OpenAlex ID: W2029840637
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description: scientific article; zbMATH DE number 7022482