Stratification of linear systems. Bifurcation diagrams for families of linear systems
type: Item
instance of: scholarly article
title: Stratification of linear systems. Bifurcation diagrams for families of linear systems
zbMATH Open document ID: 0946.34034
DOI: 10.1016/S0024-3795(99)00113-5
author: M. Dolors Magret
author: María Isabel García-Planas
published in: Linear Algebra and its Applications
publication date: 2000-10-10T00:00:00Z
review text: Consider a triple of matrices \((A,B,C)\) connected with the linear control system \[ \dot{x}=Ax+Bu,\quad y=Cx. \] The authors introduce a new equivalence relation on the space \(M\) of all triples based on the notion of a \(\rho\)-symbol. For a transverse family \(\phi:\Lambda \to M\), this equivalence relation induces a stratification over the parameter space \(\Lambda\). The authors describe singularities of the corresponding bifurcation diagrams for some few-parameter families and establish the genericity of these families.
Mathematics Subject Classification ID: 34C23
Mathematics Subject Classification ID: 93C05
Mathematics Subject Classification ID: 15A21
Mathematics Subject Classification ID: 37G05
zbMATH DE Number: 1400196
zbMATH Keywords: stratification
zbMATH Keywords: linear systems
zbMATH Keywords: bifurcation
zbMATH Keywords: genericity
reviewed by: Sergei Yu. Pilyugin
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1400196