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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2017, Volume 23, Number 1, Pages 206–211
DOI: https://doi.org/10.21538/0134-4889-2017-23-1-206-211 (Mi timm1395) 		 
A nonlinear identification problem

M. S. Nikol'skii

Steklov Mathematical Institute of Russian Academy of Sciences, Moscow
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DOI: https://doi.org/10.21538/0134-4889-2017-23-1-206-211
Abstract: We consider a nonlinear dynamic system with an unknown vector parameter in its description. An observer can calculate the phase vector of this system on the interval $[0,T]$ with an error whose modulus does not exceed a small value $h>0$. This information on the dynamics of the system should be used to find the unknown vector. We obtain constructive sufficient conditions under which it is possible to restore the unknown vector with decreasing error as the value of $h$ tends to zero. It turns out that it is sufficient to use discrete measurements of the output of the system.
Keywords: identification, dynamic systems, inverse problems.
Funding agency Grant number
Russian Science Foundation 14-50-00005
Received: 07.10.2016
English version:
Proceedings of the Steklov Institute of Mathematics (Supplementary issues), 2018, Volume 301, Issue s1, Pages 132–136
DOI: https://doi.org/10.1134/S0081543818050103
Bibliographic databases:
Document Type: Article
UDC: 517.977
MSC: 34K29, 49N45, 93B30
Language: Russian
Citation: M. S. Nikol'skii, “A nonlinear identification problem”, Trudy Inst. Mat. i Mekh. UrO RAN, 23, no. 1, 2017, 206–211; Proc. Steklov Inst. Math. (Suppl.), 301, suppl. s1 (2018), 132–136
Citation in format AMSBIB
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