Diagonalization and stability of large-scale singularly perturbed linear system
type: Item
instance of: scholarly article
title: Diagonalization and stability of large-scale singularly perturbed linear system
zbMATH Open document ID: 0655.93012
DOI: 10.1016/0022-247X(88)90140-0
author: M. Kathirkamanayagan
author: G. S. Ladde
published in: Journal of Mathematical Analysis and Applications
publication date: 1988-01-01T00:00:00Z
review text: The authors consider a linear system of singularly perturbed differential equations, where the ``small'' parameters multiplying the derivatives can be arranged into groups according to their order. The approach is to transform the system into a decoupled form, which provides an efficient tool to investigate the stability of the original system and to approximate its solution. The decoupling procedure consists of successive application of nonsingular linear transformations (due to Chang), each of them decoupling the ``fastest'' group of variables in the still coupled subsystem. The validity of the transformation is proved under appropriate stability assumptions and some applications are outlined.
Mathematics Subject Classification ID: 93A15
Mathematics Subject Classification ID: 34D15
Mathematics Subject Classification ID: 93C05
Mathematics Subject Classification ID: 93B17
Mathematics Subject Classification ID: 93C15
zbMATH DE Number: 4070722
zbMATH Keywords: linear system
zbMATH Keywords: singularly perturbed differential equations
zbMATH Keywords: decoupling
zbMATH Keywords: nonsingular linear transformations
reviewed by: Vladimir M. Veliov
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 4070722