Preservation of stability and synchronization of a class of fractional-order systems
type: Item
instance of: scholarly article
title: Preservation of stability and synchronization of a class of fractional-order systems
zbMATH Open document ID: 1264.34011
DOI: 10.1155/2012/928930
published in: Mathematical Problems in Engineering
publication date: 2013-06-11T00:00:00Z
review text: Summary: We present sufficient conditions for the preservation of stability of fractional-order systems, and then we use this result to preserve the synchronization, in a master-slave scheme, of fractional-order systems. The systems treated herein are autonomous fractional differential linear and nonlinear systems with commensurate orders lying between 0 and 2, where the nonlinear ones can be described as a linear part plus a nonlinear part. These results are based on stability properties for equilibria of fractional-order autonomous systems and some similar properties for the preservation of stability in integer order systems. Some simulation examples are presented only to show the effectiveness of the analytic result.
Mathematics Subject Classification ID: 34A08
Mathematics Subject Classification ID: 93B17
Mathematics Subject Classification ID: 93D20
zbMATH DE Number: 6173700
Wikidata QID: Q58912698
author: Armando-Fabian Lugo-Peñaloza
author: José-Job Flores-Godoy
author: Guillermo Fernández-Anaya
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2012/928930
OpenAlex ID: W2027466348
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description: scientific article; zbMATH DE number 6173700