Finite/fixed-time synchronization of nonidentical chaotic delayed neural networks with Markovian jump and uncertainties via sliding mode control

Xu, Z; Zhu, S; Liu, X; Wen, S

Finite/fixed-time synchronization of nonidentical chaotic delayed neural networks with Markovian jump and uncertainties via sliding mode control

Xu, Z Zhu, S Liu, X Wen, S

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Publisher:: WILEY
Publication Type:: Journal Article
Citation:: International Journal of Robust and Nonlinear Control, 2023, 33, (16), pp. 10064-10082
Issue Date:: 2023-11-10

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Field	Value	Language
dc.contributor.author	Xu, Z
dc.contributor.author	Zhu, S
dc.contributor.author	Liu, X
dc.contributor.author	Wen, S https://orcid.org/0000-0001-8077-7001
dc.date.accessioned	2024-01-16T21:12:51Z
dc.date.available	2024-01-16T21:12:51Z
dc.date.issued	2023-11-10
dc.identifier.citation	International Journal of Robust and Nonlinear Control, 2023, 33, (16), pp. 10064-10082
dc.identifier.issn	1049-8923
dc.identifier.issn	1099-1239
dc.identifier.uri	http://hdl.handle.net/10453/174620
dc.description.abstract	This article investigates the finite/fixed-time synchronization problem of Markovian jumping delayed chaotic recurrent neural networks with uncertainties by employing sliding mode control method. In order to cope with Markovian jump and parameter uncertainties, sliding model control is used for its strong robustness and insensitivity character to external disturbances and parameter variations. Above all, two simplified sliding mode surfaces are constructed. Following that, matching controllers are constructed to guarantee the finite/fixed-time reachability of sliding mode surfaces. Additionally, the dynamics of the sliding mode surfaces can be achieved in a finite/fixed-time. Based on the Lyapunov stability theory, some sufficient conditions are proposed to guarantee the finite/fixed-time synchronization. Compared with the conclusions of the existing literature, this article generalizes the corresponding results to Markovian jump, parameter uncertainties, and nonidentical systems. Finally, two numerical examples are given to illustrate the effectiveness of the obtained theoretical results.
dc.language	English
dc.publisher	WILEY
dc.relation.ispartof	International Journal of Robust and Nonlinear Control
dc.relation.isbasedon	10.1002/rnc.6889
dc.rights	info:eu-repo/semantics/closedAccess
dc.subject	0102 Applied Mathematics, 0906 Electrical and Electronic Engineering, 0913 Mechanical Engineering
dc.subject.classification	Industrial Engineering & Automation
dc.subject.classification	4009 Electronics, sensors and digital hardware
dc.subject.classification	4901 Applied mathematics
dc.title	Finite/fixed-time synchronization of nonidentical chaotic delayed neural networks with Markovian jump and uncertainties via sliding mode control
dc.type	Journal Article
utslib.citation.volume	33
utslib.for	0102 Applied Mathematics
utslib.for	0906 Electrical and Electronic Engineering
utslib.for	0913 Mechanical 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	2024-01-16T21:12:49Z
pubs.issue	16
pubs.publication-status	Published
pubs.volume	33
utslib.citation.issue	16

Abstract:

This article investigates the finite/fixed-time synchronization problem of Markovian jumping delayed chaotic recurrent neural networks with uncertainties by employing sliding mode control method. In order to cope with Markovian jump and parameter uncertainties, sliding model control is used for its strong robustness and insensitivity character to external disturbances and parameter variations. Above all, two simplified sliding mode surfaces are constructed. Following that, matching controllers are constructed to guarantee the finite/fixed-time reachability of sliding mode surfaces. Additionally, the dynamics of the sliding mode surfaces can be achieved in a finite/fixed-time. Based on the Lyapunov stability theory, some sufficient conditions are proposed to guarantee the finite/fixed-time synchronization. Compared with the conclusions of the existing literature, this article generalizes the corresponding results to Markovian jump, parameter uncertainties, and nonidentical systems. Finally, two numerical examples are given to illustrate the effectiveness of the obtained theoretical results.

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http://hdl.handle.net/10453/174620