Robust synchronization controller design for a class of uncertain fractional order chaotic systems
type: Item
instance of: scholarly article
title: Robust synchronization controller design for a class of uncertain fractional order chaotic systems
zbMATH Open document ID: 1417.93153
DOI: 10.1155/2016/2090583
author: Lin Wang
author: Chunzhi Yang
published in: Discrete Dynamics in Nature and Society
publication date: 2019-02-19T00:00:00Z
review text: Summary: Synchronization problem for a class of uncertain fractional order chaotic systems is studied. Some fundamental lemmas are given to show the boundedness of a complicated infinite series which is produced by differentiating a quadratic Lyapunov function with fractional order. By using the fractional order extension of the Lyapunov stability criterion and the proposed lemma, stability of the closed-loop system is analyzed, and two sufficient conditions, which can enable the synchronization error to converge to zero asymptotically, are driven. Finally, an illustrative example is presented to confirm the proposed theoretical results.
Mathematics Subject Classification ID: 93C15
Mathematics Subject Classification ID: 34H10
Mathematics Subject Classification ID: 34A08
Mathematics Subject Classification ID: 34D06
zbMATH DE Number: 7025595
Wikidata QID: Q59123403
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2016/2090583
OpenAlex ID: W2263252688
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description: scientific article; zbMATH DE number 7025595