Criteria for robust absolute stability of time-varying nonlinear continuous-time systems
type: Item
instance of: scholarly article
title: Criteria for robust absolute stability of time-varying nonlinear continuous-time systems
zbMATH Open document ID: 1013.93044
DOI: 10.1016/S0005-1098(01)00243-6
author: Derong Liu
author: Alexander Molchanov
published in: Automatica
publication date: 2002-09-05T00:00:00Z
review text: This paper investigates robust absolute stability of nonlinear systems with time-varying matrix uncertainty of polyhedral type and multiple time-varying sector nonlinearities. The main tool used here is Lyapunov's second method which allows to define some necessary and sufficient conditions of absolute robust stability. Two interesting examples are presented and discussed as applications of the proposed method.
reviewed by: Marc Quincampoix
Mathematics Subject Classification ID: 93D10
Mathematics Subject Classification ID: 93D09
Mathematics Subject Classification ID: 93C10
zbMATH DE Number: 1797038
zbMATH Keywords: continuous-time systems
zbMATH Keywords: time-varying systems
zbMATH Keywords: Lyapunov methods
zbMATH Keywords: robust stability
zbMATH Keywords: absolute stability
zbMATH Keywords: differential inclusion
zbMATH Keywords: variational method
zbMATH Keywords: polyhedral uncertainty
zbMATH Keywords: nonlinear systems
zbMATH Keywords: sector nonlinearities
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1797038