Remarks on finite-approximate controllability of impulsive evolution systems via resolvent-like operator in Hilbert spaces
Optimization and Control
2025-01-14 v2
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 (SFPT), 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.
Keywords
Cite
@article{arxiv.2501.02995,
title = {Remarks on finite-approximate controllability of impulsive evolution systems via resolvent-like operator in Hilbert spaces},
author = {Javad A. Asadzade and Nazim I. Mahmudov},
journal= {arXiv preprint arXiv:2501.02995},
year = {2025}
}