Finite-time synchronization of fully complex-valued networks with or without time-varying delays via intermittent control

Xiong, K; Yu, J; Hu, C; Wen, S; Jiang, H

Finite-time synchronization of fully complex-valued networks with or without time-varying delays via intermittent control

Xiong, K Yu, J Hu, C Wen, S

Jiang, H

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Publisher:: Elsevier BV
Publication Type:: Journal Article
Citation:: Neurocomputing, 2020, 413, pp. 173-184
Issue Date:: 2020-11-06

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Field	Value	Language
dc.contributor.author	Xiong, K
dc.contributor.author	Yu, J
dc.contributor.author	Hu, C
dc.contributor.author	Wen, S https://orcid.org/0000-0002-5048-0319
dc.contributor.author	Jiang, H
dc.date.accessioned	2021-01-07T02:55:00Z
dc.date.available	2021-01-07T02:55:00Z
dc.date.issued	2020-11-06
dc.identifier.citation	Neurocomputing, 2020, 413, pp. 173-184
dc.identifier.issn	0925-2312
dc.identifier.issn	1872-8286
dc.identifier.uri	http://hdl.handle.net/10453/145154
dc.description.abstract	© 2020 Elsevier B.V. This paper explores finite-time (F-T) synchronization for a type of fully complex-valued (C-V) networks with or without delays by proposing intermittent control schemes but without using the ordinary separation technique. Above all, the vector signum function in complex field is proposed as the generalization of real-valued counterpart, which is critical to the control design in complex field and the construction of Lyapunov functions. To realize F-T synchronization, several complex-valued intermittent controllers, only dependent of the information of controlled nodes, are designed on the addressed complex-valued networks, which are different from the design on the divided real-valued subsystems. In the theoretical analysis, some nontrivial Lyapunov functionals and functions are constructed by virtue of the proposed signum function and some inequalities are developed in complex domain to establish criteria of F-T synchronization. Finally, some numerical examples are performed to reveal the effectiveness of the derived results and the practicality of the proposed control strategies.
dc.language	en
dc.publisher	Elsevier BV
dc.relation.ispartof	Neurocomputing
dc.relation.isbasedon	10.1016/j.neucom.2020.06.057
dc.rights	info:eu-repo/semantics/restrictedAccess
dc.subject	08 Information and Computing Sciences, 09 Engineering, 17 Psychology and Cognitive Sciences
dc.subject.classification	Artificial Intelligence & Image Processing
dc.title	Finite-time synchronization of fully complex-valued networks with or without time-varying delays via intermittent control
dc.type	Journal Article
utslib.citation.volume	413
utslib.for	08 Information and Computing Sciences
utslib.for	09 Engineering
utslib.for	17 Psychology and Cognitive Sciences
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
pubs.organisational-group	/University of Technology Sydney
utslib.copyright.status	closed_access	*
dc.date.updated	2021-01-07T02:54:49Z
pubs.publication-status	Published
pubs.volume	413

Abstract:

© 2020 Elsevier B.V. This paper explores finite-time (F-T) synchronization for a type of fully complex-valued (C-V) networks with or without delays by proposing intermittent control schemes but without using the ordinary separation technique. Above all, the vector signum function in complex field is proposed as the generalization of real-valued counterpart, which is critical to the control design in complex field and the construction of Lyapunov functions. To realize F-T synchronization, several complex-valued intermittent controllers, only dependent of the information of controlled nodes, are designed on the addressed complex-valued networks, which are different from the design on the divided real-valued subsystems. In the theoretical analysis, some nontrivial Lyapunov functionals and functions are constructed by virtue of the proposed signum function and some inequalities are developed in complex domain to establish criteria of F-T synchronization. Finally, some numerical examples are performed to reveal the effectiveness of the derived results and the practicality of the proposed control strategies.

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http://hdl.handle.net/10453/145154