Stability of periodic solutions of index-2 differential algebraic systems
type: Item
instance of: scholarly article
title: Stability of periodic solutions of index-2 differential algebraic systems
zbMATH Open document ID: 1028.34002
DOI: 10.1016/S0022-247X(03)00024-6
author: Renate Winkler
author: René Lamour
author: Roswitha März
published in: Journal of Mathematical Analysis and Applications
publication date: 2003-05-25T00:00:00Z
review text: The authors study periodic index-2 differential algebraic equations (DAEs) of the form \(A(x,t)\dot x+b(x,t)=0\), and the question whether a periodic solution is stable in the sense of Lyapunov. As the main result, a stability criterion is proved. It sounds as nice as the well-known original model for regular ordinary differential equations (ODEs). This criterion is formulated in terms of the original data so that it may be used in practical computations, too.
Mathematics Subject Classification ID: 34A09
Mathematics Subject Classification ID: 34D20
Mathematics Subject Classification ID: 34C25
zbMATH DE Number: 1915764
zbMATH Keywords: differential-algebraic systems
zbMATH Keywords: stability of periodic solutions
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1915764