OPTIMAL CONTROL PROBLEMS GOVERNED BY THE VECTOR QUASI-OPTIMIZATION PROBLEMS

Van Hung N., Hai N. X., Dai L. X., YAO J.

Journal of Nonlinear and Convex Analysis, vol.27, no.2, pp.447-463, 2026 (SCI-Expanded, Scopus) identifier identifier

  • Publication Type: Article / Article
  • Volume: 27 Issue: 2
  • Publication Date: 2026
  • Journal Name: Journal of Nonlinear and Convex Analysis
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, MathSciNet, zbMATH
  • Page Numbers: pp.447-463
  • Keywords: existence conditions, generic stability, optimal control problems, Vector quasi-optimization problems
  • Azerbaijan State University of Economics (UNEC) Affiliated: Yes

Abstract

The aim of this paper is to establish the existence results and generic stability of solutions of optimal control problems governed by the vector quasi-optimization problems. First, we establish some sufficient conditions for the existence of solutions to a class of control systems of vector quasi-optimization problems. Moreover, the generic stability of set-valued mappings where the set of essential points of a map is a dense residual subset of a metric space of the set-valued maps is investigated. Finally, we study a new class of optimal control problems where the systems are defined by vector quasi-optimization problems. Results on the existence conditions and generic stability to these problems are also established.