On the existence of sporadically catching-up optimal solutions for infinite-horizon optimal control problems
type: Item
instance of: scholarly article
title: On the existence of sporadically catching-up optimal solutions for infinite-horizon optimal control problems
zbMATH Open document ID: 0596.49004
DOI: 10.1007/BF00939215
author: Dean A. Carlson
published in: Journal of Optimization Theory and Applications
publication date: 1987-01-01T00:00:00Z
review text: We extend the existence theory of \textit{W. A. Brock} and \textit{A. Haurie} [Math. Oper. Res. 1, 337-346 (1976; Zbl 0367.49003)] concerning the existence of sporadically catching-up optimal solutions for autonomous, infinite-horizon optimal control problems. This notion of optimality is one of a hierarchy of types of optimality that have appeared in the literature to deal with optimal control problems whose cost functionals, described by an improper integral, either divege or are unbounded below. Our results rely on the now classical convexity and seminormality hypotheses due to Cesari and are weaker than those assumed in the work of Brock and Haurie. An example is presented where our results are applicable, but those of the above mentioned authors do not.
Mathematics Subject Classification ID: 49J15
Mathematics Subject Classification ID: 49J45
Mathematics Subject Classification ID: 93C15
Mathematics Subject Classification ID: 34H05
zbMATH DE Number: 3960376
zbMATH Keywords: existence of sporadically catching-up optimal solutions
zbMATH Keywords: infinite-horizon optimal control problems
zbMATH Keywords: convexity
zbMATH Keywords: seminormality
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 3960376