Fixed‐time synchronization and energy cost estimation of delayed coupled neural networks

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

Fixed‐time synchronization and energy cost estimation of delayed coupled neural networks

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

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Publisher:: Wiley
Publication Type:: Journal Article
Citation:: International Journal of Robust and Nonlinear Control

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Field	Value	Language
dc.contributor.author	Xu, Z
dc.contributor.author	Zhu, S
dc.contributor.author	Luo, W
dc.contributor.author	Liu, X
dc.contributor.author	Wen, S https://orcid.org/0000-0001-8077-7001
dc.date.accessioned	2024-02-01T08:07:20Z
dc.date.available	2024-02-01T08:07:20Z
dc.identifier.citation	International Journal of Robust and Nonlinear Control
dc.identifier.issn	1049-8923
dc.identifier.issn	1099-1239
dc.identifier.uri	http://hdl.handle.net/10453/175243
dc.description.abstract	<jats:title>Abstract</jats:title><jats:p>This article concentrates on the fixed‐time synchronization (FTS) and energy cost (EC) problems of delayed coupled neural networks (NNs). A switching controller is proposed and some sufficient conditions are advanced to ensure FTS of delayed coupled NNs based on the comparison theorem. Following that, the required EC is estimated during the control process. The main results of FTS and EC for considered NNs are obtained based on the Lyapunov functions in the sense of vector 1‐norm, 2‐norm, and ‐norm, respectively. Under the same controller parameters, this article shows that the minimum estimation of settling time and EC are sometimes not in one norm sense. Finally, numerical examples are given to show the effectiveness of theoretical results.</jats:p>
dc.language	en
dc.publisher	Wiley
dc.relation.ispartof	International Journal of Robust and Nonlinear Control
dc.relation.isbasedon	10.1002/rnc.7178
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	Fixed‐time synchronization and energy cost estimation of delayed coupled neural networks
dc.type	Journal Article
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	2024-02-01T08:07:19Z
pubs.publication-status	Published online

Abstract:

AbstractThis article concentrates on the fixed‐time synchronization (FTS) and energy cost (EC) problems of delayed coupled neural networks (NNs). A switching controller is proposed and some sufficient conditions are advanced to ensure FTS of delayed coupled NNs based on the comparison theorem. Following that, the required EC is estimated during the control process. The main results of FTS and EC for considered NNs are obtained based on the Lyapunov functions in the sense of vector 1‐norm, 2‐norm, and ‐norm, respectively. Under the same controller parameters, this article shows that the minimum estimation of settling time and EC are sometimes not in one norm sense. Finally, numerical examples are given to show the effectiveness of theoretical results.

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http://hdl.handle.net/10453/175243