Geodesic
On the problem of input reconstruction in a nonlinear system with constant delay
Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 24 (2018) no. 1, pp. 121-130

Voir la notice de l'article provenant de la source Math-Net.Ru

We study the problem of reconstructing an unknown input acting on a system described by a nonlinear vector differential equation with constant delay. Both the input and the solution (trajectory) of the system are unknown. During the operation of the system, its phase states are measured at discrete times. The measurements, in general, are inaccurate. It is required to give a dynamic stable rule for the approximate reconstruction of the input, which means that the approximate values must be found in real time and the approximations must be arbitrarily accurate for sufficiently exact observations. For the solution of this problem, we propose an algorithm based on the method of models with feedback control. The algorithm reconstructs the unknown input simultaneously with the process. The algorithm is stable with respect to information noises and computational errors.
Keywords: delay systems, method of controlled models.
Mots-clés : dynamic reconstruction 
@article{TIMM_2018_24_1_a10,
     author = {V. I. Maksimov},
     title = {On the problem of input reconstruction in a nonlinear system with constant delay},
     journal = {Trudy Instituta matematiki i mehaniki},
     pages = {121--130},
     publisher = {mathdoc},
     volume = {24},
     number = {1},
     year = {2018},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TIMM_2018_24_1_a10/}
}
TY  - JOUR
AU  - V. I. Maksimov
TI  - On the problem of input reconstruction in a nonlinear system with constant delay
JO  - Trudy Instituta matematiki i mehaniki
PY  - 2018
SP  - 121
EP  - 130
VL  - 24
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/TIMM_2018_24_1_a10/
LA  - ru
ID  - TIMM_2018_24_1_a10
ER  - 
%0 Journal Article
%A V. I. Maksimov
%T On the problem of input reconstruction in a nonlinear system with constant delay
%J Trudy Instituta matematiki i mehaniki
%D 2018
%P 121-130
%V 24
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/TIMM_2018_24_1_a10/
%G ru
%F TIMM_2018_24_1_a10
V. I. Maksimov. On the problem of input reconstruction in a nonlinear system with constant delay. Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 24 (2018) no. 1, pp. 121-130. http://geodesic.mathdoc.fr/item/TIMM_2018_24_1_a10/