Order reduction of multi-time scale systems using bond graphs, the reciprocal system and the singular perturbation method
type: Item
instance of: scholarly article
title: Order reduction of multi-time scale systems using bond graphs, the reciprocal system and the singular perturbation method
zbMATH Open document ID: 0587.93007
DOI: 10.1016/0016-0032(85)90071-7
author: M. Lebrun
author: G. Dauphin-Tanguy
author: Pierre Borne
published in: Journal of the Franklin Institute
publication date: 1985-01-01T00:00:00Z
review text: The singular perturbation method applied to multi-time scale processes enables the reduction of dimensionality by considering only one part of the system - the slow or the fast part - depending on the frequency domain of interest. The fast and slow dynamics of bond graph models can be estimated by determination of causal loop-gains. We define here the notion of a reciprocal system which, with singular perturbation techniques, can obtain more accuracy on the fast time scale behaviour of the system.
Mathematics Subject Classification ID: 93A15
Mathematics Subject Classification ID: 34E15
Mathematics Subject Classification ID: 94C15
Mathematics Subject Classification ID: 93C05
Mathematics Subject Classification ID: 93C15
Mathematics Subject Classification ID: 93C35
zbMATH DE Number: 3943633
zbMATH Keywords: singular perturbation
zbMATH Keywords: multi-time scale processes
zbMATH Keywords: reduction of dimensionality
zbMATH Keywords: bond graph models
zbMATH Keywords: reciprocal system
MaRDI profile type: Publication
full work available at URL: 0016-0032(85)90071-7
OpenAlex ID: W2011585596
cites work: Singular perturbations and order reduction in control theory - an overview
cites work: Modes and bonds graphs
cites work: Q3947495
description: scientific article; zbMATH DE number 3943633