Remarks on finite-approximate controllability of impulsive evolution systems via resolvent-like operator in Hilbert spaces

Asadzade J. A., Mahmudov N.

International Journal of Control, 2026 (SCI-Expanded, Scopus) identifier identifier

  • Publication Type: Article / Article
  • Publication Date: 2026
  • Doi Number: 10.1080/00207179.2026.2637005
  • Journal Name: International Journal of Control
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Compendex, INSPEC, MathSciNet, zbMATH
  • Keywords: existence and uniqueness, Finite-approximate controllability, impulsive systems
  • Azerbaijan State University of Economics (UNEC) Affiliated: Yes

Abstract

In this manuscript, we examine impulsive evolution systems in Hilbert spaces. Using a resolvent-like operator, we first establish the finite-approximate controllability for linear systems. Subsequently, by applying the Schauder fixed-point theorem, we prove the existence of a solution and demonstrate the finite-approximate controllability of semilinear impulsive systems in Hilbert spaces. Finally, we extend these results to a broader application, specifically to the heat equation.