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Archives of Control SciencesVolume 25, Issue 2, 1 June 2015, Pages 163-176

On reconstructing unknown characteristics of a nonlinear system of differential equations(Article)(Open Access)

  • Kuklin, A.,
  • Maksimov, V.,
  • Nikulina, N.
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  • aInstitute of Economics of UD RAS, Ekaterinburg, 620014, Russian Federation
  • bUral Federal University and Institute of Mathematics and Mechanics of UD RAS, Ekaterinburg, 620990, Russian Federation

Abstract

Problems of dynamical reconstruction of unknown characteristics for nonlinear equations described the process of diffusion of innovations through results of observations of phase states are considered. Solving algorithms, which are stable with respect to informational noises and computational errors, are designed. The algorithms are based on the principle of auxiliary models with adaptive controls. © 2015 Archives of Control Sciences.

Author keywords

dynamical reconstructionnonlinear differential equations

Indexed keywords

Engineering controlled terms:Differential equations
Engineering uncontrolled termsAdaptive ControlAuxiliary modelsComputational errorDiffusion of innovationsNonlinear differential equationPhase stateSolving algorithmSystem of differential equations
Engineering main heading:Nonlinear equations

Funding details

Funding sponsor Funding number Acronym
13-01-12446-ofi-M2
  • ISSN: 12302384
  • Source Type: Journal
  • Original language: English
  • DOI: 10.1515/acsc-2015-0010
  • Document Type: Article
  • Publisher: Institute of Automatic Control - Silesian University of Technology


© Copyright 2021 Elsevier B.V., All rights reserved.

Cited by 2 documents

Blizorukova, M. , Maksimov, V.
On one algorithm for reconstruction of an disturbance in a linear system of ordinary differential equations
(2020) Archives of Control Sciences
Maksimov, V.I.
On dynamical reconstruction of an input in a linear system under measuring a part of coordinates
(2018) Journal of Inverse and Ill-Posed Problems
View details of all 2 citations
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