Decay estimates for applications of Razumikhin-type theorems
type: Item
instance of: scholarly article
title: Decay estimates for applications of Razumikhin-type theorems
zbMATH Open document ID: 0935.93052
DOI: 10.1016/S0005-1098(98)00015-6
author: Chunhai Hou
author: Jixin Qian
published in: Automatica
publication date: 2000-05-09T00:00:00Z
review text: In engineering, ``practical stability'' is sometimes expressed by the decay rate of transients. For ODEs with delays there exist apparently only two ways to estimate it: Lyapunov `characteristic numbers' and \(V\)-functionals. Both methods are usually local, and provide merely the `terminal' rate. The authors propose a slight improvement of the Razumikhin estimates. The validity conditions are very strict, but it is claimed nevertheless that the improvement is satisfactory for many engineering problems.
Mathematics Subject Classification ID: 93D20
Mathematics Subject Classification ID: 93C23
zbMATH DE Number: 1325666
zbMATH Keywords: practical stability
zbMATH Keywords: decay rate
zbMATH Keywords: delays
zbMATH Keywords: Razumikhin estimates
reviewed by: Igor Gumowski
MaRDI profile type: Publication
full work available at URL: s0005-1098(98)00015-6
OpenAlex ID: W1978556191
description: scientific article; zbMATH DE number 1325666