On the asymptotic stability of equilibria of nonlinear mechanical systems with delay
type: Item
instance of: scholarly article
title: On the asymptotic stability of equilibria of nonlinear mechanical systems with delay
zbMATH Open document ID: 1268.34133
DOI: 10.1134/S0012266113020018
author: Yanyan Li
published in: Differential Equations
publication date: 2013-06-17T00:00:00Z
review text: The authors study the title problem, as an extension of systems of nonlinear ordinary differential equations which are asymptotically stable. They consider how the stability of these systems is affected by changes (``delay'') in the independent variable (typically: time). The authors state and prove three theorems which enable determination of sufficient conditions for asymptotic stability at the extended time delay systems. The concepts are illustrated by two example problems modelling mechanical systems. The paper is theoretical in nature but it nevertheless should be of interest to practitioners concerned with the stability of nonlinear time-delay control systems.
Mathematics Subject Classification ID: 34K20
Mathematics Subject Classification ID: 34L30
zbMATH DE Number: 6176439
zbMATH Keywords: stability
zbMATH Keywords: control
zbMATH Keywords: nonlinear systems
zbMATH Keywords: time-delay systems
reviewed by: Ronald L. Huston
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 6176439