On One Damping Problem for a Nonstationary Control System with Aftereffect
- Authors: Adkhamova A.S.1, Skubachevskii A.L.1
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Affiliations:
- Peoples’ Friendship University of Russia (RUDN University)
- Issue: Vol 65, No 4 (2019): Proceedings of the S.M. Nikolskii Mathematical Institute of RUDN University
- Pages: 547-556
- Section: New Results
- URL: https://journals.rcsi.science/2413-3639/article/view/347194
- DOI: https://doi.org/10.22363/2413-3639-2019-65-4-547-556
- ID: 347194
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Abstract
We consider a control system described by the system of differential-difference equations of neutral type with variable matrix coefficients and several delays. We establish the relation between the variational problem for the nonlocal functional describing the multidimensional control system with delays and the corresponding boundary-value problem for the system of differential-difference equations. We prove the existence and uniqueness of the generalized solution of this boundary-value problem.
About the authors
A. S. Adkhamova
Peoples’ Friendship University of Russia (RUDN University)
Author for correspondence.
Email: ami_adhamova@mail.ru
Moscow, Russia
A. L. Skubachevskii
Peoples’ Friendship University of Russia (RUDN University)
Email: skublector@gmail.com
Moscow, Russia
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