Geodesic
Damping problem for control system with delay with different number of inputs and outputs
Contemporary Mathematics. Fundamental Directions, Functional spaces. Differential operators. Problems of mathematics education, Tome 70 (2024) no. 2, pp. 189-200

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We consider the damping problem for a nonstationary control system described by a system of differential-difference equations of neutral type with smooth matrix coefficients and several delays. A connection has been established between the variational problem corresponding to the problem of calming a system with delay and the boundary value problem for a system of second-order differential equations. A priori estimates of solutions are obtained. A theorem on the solvability of the considered boundary value problem is proved.
Keywords: differential-difference equation of neutral type, control system with delay, damping problem, variational problem. 
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     author = {A. Sh. Adkhamova and A. L. Skubachevskii},
     title = {Damping problem for control system with delay with different number of inputs and outputs},
     journal = {Contemporary Mathematics. Fundamental Directions},
     pages = {189--200},
     publisher = {mathdoc},
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     number = {2},
     year = {2024},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/CMFD_2024_70_2_a0/}
}
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A. Sh. Adkhamova; A. L. Skubachevskii. Damping problem for control system with delay with different number of inputs and outputs. Contemporary Mathematics. Fundamental Directions, Functional spaces. Differential operators. Problems of mathematics education, Tome 70 (2024) no. 2, pp. 189-200. http://geodesic.mathdoc.fr/item/CMFD_2024_70_2_a0/