Damping Problem for a Neutral Control System with Delay

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...

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Bibliographic Details
Published in:Doklady. Mathematics 2020, Vol.101 (1), p.68-70
Main Authors: Adkhamova, A. Sh, Skubachevskii, A. L.
Format: Article
Language:English
Subjects:
Boundary value problems
Control Processes
Control systems
Damping
Difference equations
Differential equations
Linear control
Mathematical analysis
Mathematics
Mathematics and Statistics
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Summary: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.
ISSN:1064-5624
1531-8362
DOI:10.1134/S1064562420010032