On the problem of choice of methods for stabilizing systems containing linear delay
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 1 (2023), pp. 36-50
Voir la notice de l'article provenant de la source Math-Net.Ru
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/}
}
TY - JOUR AU - B. G. Grebenshchikov AU - A. B. Lozhnikov TI - On the problem of choice of methods for stabilizing systems containing linear delay JO - Izvestiâ vysših učebnyh zavedenij. Matematika PY - 2023 SP - 36 EP - 50 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/IVM_2023_1_a2/ LA - ru ID - IVM_2023_1_a2 ER -
%0 Journal Article %A B. G. Grebenshchikov %A A. B. Lozhnikov %T On the problem of choice of methods for stabilizing systems containing linear delay %J Izvestiâ vysših učebnyh zavedenij. Matematika %D 2023 %P 36-50 %N 1 %I mathdoc %U http://geodesic.mathdoc.fr/item/IVM_2023_1_a2/ %G ru %F IVM_2023_1_a2
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/