On the existence of an optimal element for a delay control problem
type: Item
instance of: scholarly article
title: On the existence of an optimal element for a delay control problem
zbMATH Open document ID: 1194.49005
author: B. E. Eshmatov
published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods
publication date: 2010-06-09T00:00:00Z
review text: A problem of optimal control of a linear system with lumped delays is considered. The role of control parameters is played by the initial and final time moments of the process as well as the control function that is a part of the right hand side of the system. The paper deals with quite a general performance criterion that contains a terminal and an integral summand depending on the control parameters. Using the well-known Ekeland-Temam theorem, the author proves two existence and uniqueness theorems for the optimal control problem consisting in minimization of the performance criterion.
reviewed by: Vyacheslav I. Maksimov
Mathematics Subject Classification ID: 49J15
Mathematics Subject Classification ID: 34K35
zbMATH DE Number: 5718403
zbMATH Keywords: delay differential equation
zbMATH Keywords: optimal element
zbMATH Keywords: existence theorem
MaRDI profile type: Publication
full work available at URL: j.na.2010.03.014
OpenAlex ID: W2082494836
cites work: Existence theorems for optimal control problems involving functional differential equations
cites work: Q4191186
cites work: Q3952702
cites work: Q3785473
cites work: Existence of optimal control for non-linear multiple-delay systems
cites work: Q4107531
cites work: Formulas for the variation of a solution and optimal control problems for differential equations with retarded arguments
cites work: Analysis via integral equations of an identification problem for delay differential equations
cites work: On approximate solution of an inverse problem for linear delay differential equations
cites work: Q3655165
cites work: On Certain Questions in the Theory of Optimal Control
cites work: Q4085497
DOI: 10.1016/J.NA.2010.03.014
description: scientific article; zbMATH DE number 5718403