Novel methods to finite-time Mittag-Leffler synchronization problem of fractional-order quaternion-valued neural networks

Xiao, J; Cao, J; Cheng, J; Zhong, S; Wen, S

Novel methods to finite-time Mittag-Leffler synchronization problem of fractional-order quaternion-valued neural networks

Xiao, J Cao, J Cheng, J Zhong, S Wen, S

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Publisher:: Elsevier BV
Publication Type:: Journal Article
Citation:: Information Sciences, 2020, 526, pp. 221-244
Issue Date:: 2020-07-01

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Field	Value	Language
dc.contributor.author	Xiao, J
dc.contributor.author	Cao, J
dc.contributor.author	Cheng, J
dc.contributor.author	Zhong, S
dc.contributor.author	Wen, S https://orcid.org/0000-0002-5048-0319
dc.date.accessioned	2021-03-21T19:59:48Z
dc.date.available	2021-03-21T19:59:48Z
dc.date.issued	2020-07-01
dc.identifier.citation	Information Sciences, 2020, 526, pp. 221-244
dc.identifier.issn	0020-0255
dc.identifier.uri	http://hdl.handle.net/10453/147413
dc.description.abstract	© 2020 Elsevier Inc. This paper proposes two methods to investigate the problem of finite-time Mittag-Leffler synchronization for the systems of fractional-order quaternion-valued neural networks (FQVNNs) with two kinds of activation functions, respectively. Generally, the first method mainly reflects in the new establishment of Lyapunov-Krasovskii functionals (LKFs) and the novel application of a new fractional-order derivative inequality which contains and exploits the wider coefficients with more values. Meanwhile, the second one is embodied in the comprehensive development of both the norm comparison rules and the generalized Gronwall-Bellman inequality with the help of Laplace transform of Mittag-Leffler function. Thanks to the above two methods, the flexible synchronization criteria are easily and separately obtained for the studied four systems of FQVNNs with general activation functions and linear threshold ones. Finally, two numerical simulations are given to demonstrate the feasibility and effectiveness of the newly proposed approaches.
dc.language	en
dc.publisher	Elsevier BV
dc.relation.ispartof	Information Sciences
dc.relation.isbasedon	10.1016/j.ins.2020.03.101
dc.rights	info:eu-repo/semantics/closedAccess
dc.subject	01 Mathematical Sciences, 08 Information and Computing Sciences, 09 Engineering
dc.subject.classification	Artificial Intelligence & Image Processing
dc.title	Novel methods to finite-time Mittag-Leffler synchronization problem of fractional-order quaternion-valued neural networks
dc.type	Journal Article
utslib.citation.volume	526
utslib.for	0801 Artificial Intelligence and Image Processing
utslib.for	01 Mathematical Sciences
utslib.for	08 Information and Computing Sciences
utslib.for	09 Engineering
pubs.organisational-group	/University of Technology Sydney
pubs.organisational-group	/University of Technology Sydney/Faculty of Engineering and Information Technology
pubs.organisational-group	/University of Technology Sydney/Strength - AAII - Australian Artificial Intelligence Institute
utslib.copyright.status	closed_access	*
dc.date.updated	2021-03-21T19:59:46Z
pubs.publication-status	Published
pubs.volume	526

Abstract:

© 2020 Elsevier Inc. This paper proposes two methods to investigate the problem of finite-time Mittag-Leffler synchronization for the systems of fractional-order quaternion-valued neural networks (FQVNNs) with two kinds of activation functions, respectively. Generally, the first method mainly reflects in the new establishment of Lyapunov-Krasovskii functionals (LKFs) and the novel application of a new fractional-order derivative inequality which contains and exploits the wider coefficients with more values. Meanwhile, the second one is embodied in the comprehensive development of both the norm comparison rules and the generalized Gronwall-Bellman inequality with the help of Laplace transform of Mittag-Leffler function. Thanks to the above two methods, the flexible synchronization criteria are easily and separately obtained for the studied four systems of FQVNNs with general activation functions and linear threshold ones. Finally, two numerical simulations are given to demonstrate the feasibility and effectiveness of the newly proposed approaches.

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http://hdl.handle.net/10453/147413