The matching of two stable sewing linear systems in the plane
type: Item
instance of: scholarly article
title: The matching of two stable sewing linear systems in the plane
zbMATH Open document ID: 1330.34031
author: Denis De Carvalho Braga
author: Alexander Fernandes da Fonseca
author: Luis Fernando Mello
published in: Journal of Mathematical Analysis and Applications
publication date: 2015-09-30T00:00:00Z
review text: The authors establish that a planar sewing piecewise linear system with two zones, defined by Hurwitz matrices has a unique equilibrium point in the separation straight line and it is globally asymptotically stable. However, they also show that sewing piecewise linear systems with two zones in the plane defined by Hurwitz matrices can have an unstable equilibrium point at the origin, resulting in counter-intuitive behaviors of simple piecewise linear systems in the plane.
reviewed by: Olusola Akinyele
Mathematics Subject Classification ID: 34A36
Mathematics Subject Classification ID: 34D20
zbMATH DE Number: 6487302
zbMATH Keywords: piecewise linear differential system
zbMATH Keywords: non-smooth differential system
zbMATH Keywords: global stability
zbMATH Keywords: Hurwitz matrix
MaRDI profile type: Publication
full work available at URL: j.jmaa.2015.08.037
OpenAlex ID: W1460854636
cites work: Q5582924
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DOI: 10.1016/J.JMAA.2015.08.037
description: scientific article; zbMATH DE number 6487302