🔧На сайте запланированы технические работы
25.12.2025 в промежутке с 18:00 до 21:00 по Московскому времени (GMT+3) на сайте будут проводиться плановые технические работы. Возможны перебои с доступом к сайту. Приносим извинения за временные неудобства. Благодарим за понимание!
🔧Site maintenance is scheduled.
Scheduled maintenance will be performed on the site from 6:00 PM to 9:00 PM Moscow time (GMT+3) on December 25, 2025. Site access may be interrupted. We apologize for the inconvenience. Thank you for your understanding!

 

A Noetherian Impulsive Control Problem


Cite item

Full Text

Open Access Open Access
Restricted Access Access granted
Restricted Access Subscription Access

Abstract

We establish conditions under which an unsolvable degenerate impulsive problem can be made solvable by introducing control functions both in the differential system and in the impulsive condition under the assumption that the degenerate differential system without control can be reduced to a central canonical form.

About the authors

O. A. Boichuk

Institute of Mathematics, Ukrainian National Academy of Sciences

Author for correspondence.
Email: boichuk.aa@gmail.com
Ukraine, Tereshchenkivs’ka Str., 3, Kyiv, 01004

E. S. Voitushenko

Shevchenko Kyiv National University

Email: boichuk.aa@gmail.com
Ukraine, Hlushkov Avenue, 4, Kyiv, 03680

L. M. Shehda

Ivano-Frankivs’k National Technical University of Oil and Gas

Email: boichuk.aa@gmail.com
Ukraine, Karpats’ka Str., 15, Ivano-Frankivs’k, 76019

Supplementary files

Supplementary Files
Action
1. JATS XML

Copyright (c) 2017 Springer Science+Business Media, LLC