On positional simulation in dynamic systems
type: Item
instance of: scholarly article
title: On positional simulation in dynamic systems
zbMATH Open document ID: 0606.70030
DOI: 10.1016/0021-8928(83)90103-X
author: Yu S. Osipov
author: A. V. Kryazhimskij
author: Vyacheslav I. Maksimov
published in: Journal of Applied Mathematics and Mechanics
publication date: 1985-01-01T00:00:00Z
review text: The problem of simulating delays and controls in a dynamic system described by ordinary differential-difference equations is examined. The simulation is carried out in real time by the feedback principle on the basis of information and the current phase states of the system, measurable with a certain error. The simulation algorithm proposed - an algorithm for reconstructing the unknown delays and controls - is a regularizing one in the sense that the simulation results become better the less the measurement errors in the system's phase positions. The ideological source of the proposed method of solving the problem is Krasovskij's extremal aiming principle.
Mathematics Subject Classification ID: 70Q05
Mathematics Subject Classification ID: 93C15
Mathematics Subject Classification ID: 70G10
zbMATH DE Number: 3980579
zbMATH Keywords: ordinary differential-difference equations
zbMATH Keywords: feedback principle
zbMATH Keywords: current phase states
zbMATH Keywords: simulation algorithm
zbMATH Keywords: delays
zbMATH Keywords: controls
zbMATH Keywords: phase positions
zbMATH Keywords: extremal aiming principle
MaRDI profile type: Publication
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full work available at URL: 0021-8928(83)90103-x
OpenAlex ID: W2020294735
description: scientific article; zbMATH DE number 3980579