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On One Damping Problem for a Nonstationary Control System with Aftereffect

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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.

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Authors and Affiliations

  1. Peoples’ Friendship University of Russia (RUDN University), Moscow, Russia

    A. Sh. Adkhamova & A. L. Skubachevskii

Authors
  1. A. Sh. Adkhamova
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  2. A. L. Skubachevskii
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Correspondence to A. Sh. Adkhamova.

Additional information

Translated from Sovremennaya Matematika. Fundamental’nye Napravleniya (Contemporary Mathematics. Fundamental Directions), Vol. 65, No. 4, Proceedings of the S. M. Nikolskii Mathematical Institute of RUDN University, 2019.

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Adkhamova, A.S., Skubachevskii, A.L. On One Damping Problem for a Nonstationary Control System with Aftereffect. J Math Sci 265, 719–727 (2022). https://doi.org/10.1007/s10958-022-06080-8

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  • DOI: https://doi.org/10.1007/s10958-022-06080-8

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