Hybrid stability checking method for synchronization of chaotic fractional-order systems
type: Item
instance of: scholarly article
title: Hybrid stability checking method for synchronization of chaotic fractional-order systems
zbMATH Open document ID: 1406.93238
DOI: 10.1155/2014/316368
author: Seng-Kin Lao
author: Lap-Mou Tam
author: Hsien-Keng Chen
author: Long-Jye Sheu
published in: Abstract and Applied Analysis
publication date: 2019-02-14T00:00:00Z
review text: Summary: A hybrid stability checking method is proposed to verify the establishment of synchronization between two hyperchaotic systems. During the design stage of a synchronization scheme for chaotic fractional-order systems, a problem is sometimes encountered. In order to ensure the stability of the error signal between two fractional-order systems, the arguments of all eigenvalues of the Jacobian matrix of the erroneous system should be within a region defined in Matignon's theorem. Sometimes, the arguments depend on the state variables of the driving system, which makes it difficult to prove the stability. We propose a new and efficient hybrid method to verify the stability in this situation. The passivity-based control scheme for synchronization of two hyperchaotic fractional-order Chen-Lee systems is provided as an example. Theoretical analysis of the proposed method is validated by numerical simulation in time domain and examined in frequency domain via electronic circuits.
Mathematics Subject Classification ID: 93D05
Mathematics Subject Classification ID: 26A33
Mathematics Subject Classification ID: 34A08
Mathematics Subject Classification ID: 34H10
Mathematics Subject Classification ID: 37D45
zbMATH DE Number: 7022155
zbMATH Keywords: hybrid stability
zbMATH Keywords: synchronization
zbMATH Keywords: chaotic fractional-order systems
Wikidata QID: Q59038167
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/316368
OpenAlex ID: W2079166144
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description: scientific article; zbMATH DE number 7022155