Identification of the inputs of quasilinear systems
type: Item
instance of: scholarly article
title: Identification of the inputs of quasilinear systems
zbMATH Open document ID: 1171.93013
DOI: 10.1134/S0005117907110021
author: S. A. Anikin
published in: Automation and Remote Control
publication date: 2008-06-09T00:00:00Z
review text: The paper deals with the problem of recovering input signal (meant as initial state and external excitation) of the non-stationary quasi-linear (with weighted additive nonlinearity) observable dynamical system from inaccurate output measurements. To this end Tikhonov's regularization method is used. Error estimates of the obtained solution are derived and sufficient conditions for its convergence to the true input are given. Further, the conditions of representability of the unknown system input by the power series of a small non-linearity weighting parameter along with the explicit form of the series coefficients are established. Rigorously proved theoretical results are illustrated by an example and numerical experiment.
reviewed by: Zygmunt Hasiewicz
Mathematics Subject Classification ID: 93B30
Mathematics Subject Classification ID: 93C10
Mathematics Subject Classification ID: 93C41
Mathematics Subject Classification ID: 93C15
zbMATH DE Number: 5285559
zbMATH Keywords: input recovering
zbMATH Keywords: quasi-linear system
zbMATH Keywords: Tikhonov's regularization
MaRDI profile type: Publication
cites work: Error estimate for a regularization method in problems of the reconstruction of inputs of dynamic systems
cites work: Q3797561
cites work: Q5638168
description: scientific article; zbMATH DE number 5285559