Remarks on finite-approximate controllability of impulsive evolution systems via resolvent-like operator in Hilbert spaces
International Journal of Control, vol.99, no.7, pp.2076-2092, 2026 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Volume: 99 Issue: 7
- 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
- Page Numbers: pp.2076-2092
- 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.