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This article is cited in 8 scientific papers (total in 8 papers)
CONTROL PROCESSES
Damping problem for a neutral control system with delay
A. S. Adkhamova, A. L. Skubachevskii Nikol'skii Mathematical Institute of Peoples' Friendship University of Russia, Moscow, Russian Federation
Abstract:
A linear control system described by a system of differential-difference equations of neutral type with several delays and variable matrix coefficients is considered. The relationship between the variational problem for a nonlocal functional describing the multidimensional control system with delays and the corresponding boundary value problem for the system of differential-difference equations is established. The existence and uniqueness of a generalized solution to this boundary value problem are proved.
Keywords:
control system with delay, differential-difference equations, generalized solutions.
Received: 21.10.2019 Revised: 21.10.2019 Accepted: 28.10.2019
Citation:
A. S. Adkhamova, A. L. Skubachevskii, “Damping problem for a neutral control system with delay”, Dokl. RAN. Math. Inf. Proc. Upr., 490 (2020), 81–84; Dokl. Math., 101:1 (2020), 68–70
Linking options:
https://www.mathnet.ru/eng/danma40 https://www.mathnet.ru/eng/danma/v490/p81
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Abstract page: | 163 | Full-text PDF : | 70 | References: | 16 |
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