Lyapunov regularity of linear differential algebraic equations of index 1
type: Item
instance of: scholarly article
title: Lyapunov regularity of linear differential algebraic equations of index 1
zbMATH Open document ID: 1080.34039
author: Nguyen Dinh Cong
author: Hoang Nam
published in: Acta Mathematica Vietnamica
publication date: 2004-11-01T00:00:00Z
review text: The paper continues the work of both authors to extend the qualitative ODE theory to DAEs (see [Acta Math. Vietnam. 28, No. 1, 73--88 (2003; Zbl 1048.34089)]). The concept of Lyapunov regularity (Perron's theorem) of ODEs is extended to tractable index-1 DAEs. The necessary basics of the tractability index of DAEs and the Lyapunov exponent of functions are introduced. Lyapunov regularity of index-1 DAEs is defined and the relation of that definition to the corresponding ODE is discussed. It is shown that this regularity concept is invariant under regular transformations of the unknowns and does not depend on the choice of the projectors to represent the corresponding ODE.
Mathematics Subject Classification ID: 34D08
Mathematics Subject Classification ID: 34A09
zbMATH DE Number: 2113028
zbMATH Keywords: Lyapunov exponent
zbMATH Keywords: Lyapunov regularity
zbMATH Keywords: differential-algebraic equation
zbMATH Keywords: index 1
reviewed by: René Lamour
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 2113028