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JOURNALS // Trudy Instituta Matematiki i Mekhaniki UrO RAN // Archive

Trudy Inst. Mat. i Mekh. UrO RAN, 2017 Volume 23, Number 1, Pages 206–211 (Mi timm1395)

A nonlinear identification problem

M. S. Nikol'skii

Steklov Mathematical Institute of Russian Academy of Sciences, Moscow

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.

UDC: 517.977

MSC: 34K29, 49N45, 93B30

Received: 07.10.2016

DOI: 10.21538/0134-4889-2017-23-1-206-211


 English version:
Proceedings of the Steklov Institute of Mathematics (Supplement Issues), 2018, 301, suppl. s1, S132–S136

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