Some relaxation problems in optimal control theory
type: Item
instance of: scholarly article
title: Some relaxation problems in optimal control theory
zbMATH Open document ID: 0633.49007
DOI: 10.1016/0022-247X(87)90182-X
published in: Journal of Mathematical Analysis and Applications
publication date: 1987-01-01T00:00:00Z
review text: The relaxed problem is defined for constrained minimum problems in an abstract setting, and properties of it are discussed. Applications to optimal control problems are considered. An explicit representation of the relaxed problem is obtained for dynamics of the form \(\dot x=a(t,x)+b(t,x)c(t,u)\), where x is the state variable, u the control variable.
Mathematics Subject Classification ID: 49J45
Mathematics Subject Classification ID: 49M20
zbMATH DE Number: 4030334
zbMATH Keywords: constrained minimum problems
zbMATH Keywords: optimal control problems
zbMATH Keywords: relaxed problem
author: Giuseppe Buttazzo
reviewed by: Tullio Zolezzi
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 4030334