Remarks on finite-approximate controllability of impulsive evolution systems via resolvent-like operator in Hilbert spaces
Year: 2026
Type: article
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.
Source: International Journal of Control
Authors: Javad A. Asadzade, Nazim I. Mahmudov
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7133996182