Generic well-posedness of nonconvex optimal control problems
type: Item
instance of: scholarly article
title: Generic well-posedness of nonconvex optimal control problems
zbMATH Open document ID: 1066.49016
published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods
publication date: 2005-02-23T00:00:00Z
review text: Extending some of his previous results, the author proves generic existence and uniqueness of optimal solutions to optimal control problems under variations of the dynamics and the cost functional.
reviewed by: Tullio Zolezzi
Mathematics Subject Classification ID: 49K40
Mathematics Subject Classification ID: 49J15
Mathematics Subject Classification ID: 90C31
zbMATH DE Number: 2137249
zbMATH Keywords: well-posedness
zbMATH Keywords: genericity
zbMATH Keywords: nonconvex optimal control
author: Alexander J. Zaslavski
MaRDI profile type: Publication
full work available at URL: j.na.2004.08.009
OpenAlex ID: W2034053030
cites work: On a classical problem of the calculus of variations without convexity assumptions
cites work: Q4743352
cites work: Q4000274
cites work: Q3134552
cites work: Variational Principles and Well-Posedness in Optimization and Calculus of Variations
cites work: Q3785473
cites work: Q4501647
cites work: Existence and Duality Theorems for Convex Problems of Bolza
cites work: Generic Well-Posedness of Optimal Control Problems without Convexity Assumptions
cites work: Existence of solutions of optimal control problems for a generic integrand without convexity assumptions
cites work: Well-posedness and porosity in optimal control without convexity assumptions
cites work: Q3378650
cites work: Generic well-posedness of variational problems without convexity assumptions
cites work: Well-posedness criteria in optimization with application to the calculus of variations
DOI: 10.1016/J.NA.2004.08.009
description: scientific article; zbMATH DE number 2137249