Geodesic
On the problem of choice of methods for stabilizing systems containing linear delay
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 1 (2023), pp. 36-50

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The problem of stabilization of systems of linear differential equations containing a delay linearly dependent on the argument (time) is considered. Methods of stabilization of some systems with constant coefficients are proposed. Due to the fact that the delay increases indefinitely, stabilization is considered over an infinite time interval. The numerical examples illustrating the effectiveness of stabilization methods are presented.
Keywords: time-delay, controllable system, stability, stabilization. 
@article{IVM_2023_1_a2,
     author = {B. G. Grebenshchikov and A. B. Lozhnikov},
     title = {On the problem of choice of methods for stabilizing systems containing linear delay},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {36--50},
     publisher = {mathdoc},
     number = {1},
     year = {2023},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2023_1_a2/}
}
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B. G. Grebenshchikov; A. B. Lozhnikov. On the problem of choice of methods for stabilizing systems containing linear delay. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 1 (2023), pp. 36-50. http://geodesic.mathdoc.fr/item/IVM_2023_1_a2/