Advanced search
Publication Cover
Optimization
A Journal of Mathematical Programming and Operations Research
Volume 73, 2024 - Issue 7
Submit an article Journal homepage
116
Views
0
CrossRef citations to date
0
Altmetric
Research Article

Local stability of solutions to a parametric multi-objective optimal control problem

T. D. Binha Department of Optimization and Control Theory, Institute of Mathematics, Vietnam Academy of Science and Technology, Hanoi, VietnamView further author information
,
B. T. Kiena Department of Optimization and Control Theory, Institute of Mathematics, Vietnam Academy of Science and Technology, Hanoi, VietnamCorrespondence[email protected]
View further author information
&
N. H. Sonb School of Applied Mathematics and Informatics, Hanoi University of Science and Technology, Hanoi, VietnamView further author information
Pages 2247-2275 | Received 16 Apr 2022, Accepted 11 Mar 2023, Published online: 27 Mar 2023
 
Sample our Mathematics & Statistics journals, sign in here to start your FREE access for 14 days

Abstract

This paper studies local stability of solutions to a parametric multi-objective optimal control problem with constraints. By combining the scalarization method and non-scalarization methods, we show that if the unperturbed problem has a locally strong Pareto solution, then the Pareto solution set is locally Hölder continuous at a reference parameter.

AMS Subject Classifications:

Disclosure statement

No potential conflict of interest was reported by the authors.

Additional information

Funding

This research was supported by the Vietnam Academy of Science and Technology under Grant Number CTTH00.01/22-23.

Log in via your institution

Access through your institution

Log in to Taylor & Francis Online

Restore content access

Restore content access for purchases made as guest
Purchase options * Save for later

PDF download + Online access

  • 48 hours access to article PDF & online version
  • Article PDF can be downloaded
  • Article PDF can be printed
USD 61.00 Add to cart

Issue Purchase

  • 30 days online access to complete issue
  • Article PDFs can be downloaded
  • Article PDFs can be printed
USD 630.00 Add to cart

* Local tax will be added as applicable

Related Research

People also read lists articles that other readers of this article have read.

Recommended articles lists articles that we recommend and is powered by our AI driven recommendation engine.

Cited by lists all citing articles based on Crossref citations.
Articles with the Crossref icon will open in a new tab.