Analysis of repeated systems with non-identical, non-commutative interactions using bond graph adapted operator perturbation
type: Item
instance of: scholarly article
title: Analysis of repeated systems with non-identical, non-commutative interactions using bond graph adapted operator perturbation
zbMATH Open document ID: 0605.93004
DOI: 10.1016/0016-0032(87)90003-2
author: Amalendu Mukherjee
author: B. Samanta
published in: Journal of the Franklin Institute
publication date: 1987-01-01T00:00:00Z
review text: A technique is presented to study the dynamics of a class of repeated systems with non-commutative interactions. The system equations are formulated using tensor product algebra. A pre-analysis of the system equations is carried out to reduce the interactions to a small perturbing operator. The formal operator perturbation scheme is discussed. The procedure of pretreatment is adapted to bond graph techniques for the ease of representation of dynamic systems. It is shown that the method of operator perturbation may also be handled very conveniently by the bond graph approach. The overall system dynamics can be studied from the analysis of the subsystems coupled through the perturbing operator. This results in a substantial reduction in the size of the problem to be considered. The procedure is illustrated by suitable examples.
Mathematics Subject Classification ID: 93A15
Mathematics Subject Classification ID: 93B28
Mathematics Subject Classification ID: 94C30
Mathematics Subject Classification ID: 47A55
Mathematics Subject Classification ID: 93B60
zbMATH DE Number: 3978904
zbMATH Keywords: repeated systems with non-commutative interactions
zbMATH Keywords: operator perturbation scheme
zbMATH Keywords: bond graph
MaRDI profile type: Publication
full work available at URL: 0016-0032(87)90003-2
OpenAlex ID: W2082265959
cites work: Q5819374
cites work: A general theory of harmonic wave propagation in linear periodic systems with multiple coupling
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cites work: Response of Periodic Structures by the 2-Transform Method
cites work: Response of periodic structures by modal analysis
cites work: Dynamics of a class of repeated systems with non-identical elastic and visco-elastic interconnections - A bond graph approach
cites work: Q3293417
cites work: Scalar Invariants of a Rotational System in a Lie Algebra
cites work: Q5552615
cites work: Q5562645
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description: scientific article; zbMATH DE number 3978904