Analytical stability bound for a class of delayed fractional-order dynamic systems
type: Item
instance of: scholarly article
title: Analytical stability bound for a class of delayed fractional-order dynamic systems
zbMATH Open document ID: 1020.34064
DOI: 10.1023/A:1016591006562
author: Kevin L. Moore
author: Yangquan Chen
published in: Nonlinear Dynamics
publication date: 2003-03-18T00:00:00Z
review text: This paper looks at the combination of two important approaches to the generalisation of ordinary differential equations in mathematical models: namely the use of fractional orders of derivatives and the incorporation of delays. Following some review material, the authors go on to consider the vexed question of stability (known to present challenges in analysis of delay differential equations). They present an analytic stability bound and give some examples.
Mathematics Subject Classification ID: 34K20
Mathematics Subject Classification ID: 34D05
Mathematics Subject Classification ID: 37C75
Mathematics Subject Classification ID: 34A25
zbMATH DE Number: 1850654
zbMATH Keywords: stability
zbMATH Keywords: fractional differential equation
zbMATH Keywords: delay
zbMATH Keywords: delayed fractional-order dynamic systems
reviewed by: Neville J. Ford
describes a project that uses: CRONE
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1850654