Periodic orbit analysis for a delayed model of malicious signal transmission in wireless sensor networks with discontinuous control

Li, W; Ji, J; Huang, L; Cai, Z

Periodic orbit analysis for a delayed model of malicious signal transmission in wireless sensor networks with discontinuous control

Li, W Ji, J

Huang, L Cai, Z

Permalink

Publisher:: WILEY
Publication Type:: Journal Article
Citation:: Mathematical Methods in the Applied Sciences, 2023, 46, (5), pp. 5267-5285
Issue Date:: 2023-03-30

Closed Access

	Filename	Description	Size
	Periodic orbit analysis for a delayed m...pdf		14.91 MB	Adobe PDF	View/Open

Copyright Clearance Process

Recently Added
In Progress
Closed Access

This item is closed access and not available.

Full metadata record

Field	Value	Language
dc.contributor.author	Li, W
dc.contributor.author	Ji, J https://orcid.org/0000-0003-3280-5463
dc.contributor.author	Huang, L
dc.contributor.author	Cai, Z
dc.date.accessioned	2023-03-30T03:53:17Z
dc.date.available	2023-03-30T03:53:17Z
dc.date.issued	2023-03-30
dc.identifier.citation	Mathematical Methods in the Applied Sciences, 2023, 46, (5), pp. 5267-5285
dc.identifier.issn	0170-4214
dc.identifier.issn	1099-1476
dc.identifier.uri	http://hdl.handle.net/10453/168835
dc.description.abstract	This paper employs a discontinuous temporary immunity control to obtain the periodic orbit for a class of delayed malicious signal transmission model in wireless sensor networks under the framework of differential inclusion. The positivity and boundedness of the solution for the discontinuous system is proved first. Then, by using the Kakutani's fixed point theorem of set-valued maps, the existence of a periodic orbit is obtained under some assumptions and constraints. Furthermore, the globally exponentially stable (Formula presented.) -periodic orbit is investigated using the Lyapunov functional method. The obtained results can help us better understand the dynamic characteristics of discontinuous delayed systems and have direct applications to the wireless sensor networks for guaranteeing fast response to malicious signals. Finally, the numerical simulations of three examples are given to validate the correctness of the theoretical results.
dc.language	English
dc.publisher	WILEY
dc.relation.ispartof	Mathematical Methods in the Applied Sciences
dc.relation.isbasedon	10.1002/mma.8831
dc.rights	info:eu-repo/semantics/closedAccess
dc.subject	0102 Applied Mathematics
dc.subject.classification	Applied Mathematics
dc.title	Periodic orbit analysis for a delayed model of malicious signal transmission in wireless sensor networks with discontinuous control
dc.type	Journal Article
utslib.citation.volume	46
utslib.for	0102 Applied Mathematics
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/Faculty of Engineering and Information Technology/School of Mechanical and Mechatronic Engineering
utslib.copyright.status	closed_access	*
dc.date.updated	2023-03-30T03:53:14Z
pubs.issue	5
pubs.publication-status	Accepted
pubs.volume	46
utslib.citation.issue	5

Abstract:

This paper employs a discontinuous temporary immunity control to obtain the periodic orbit for a class of delayed malicious signal transmission model in wireless sensor networks under the framework of differential inclusion. The positivity and boundedness of the solution for the discontinuous system is proved first. Then, by using the Kakutani's fixed point theorem of set-valued maps, the existence of a periodic orbit is obtained under some assumptions and constraints. Furthermore, the globally exponentially stable (Formula presented.) -periodic orbit is investigated using the Lyapunov functional method. The obtained results can help us better understand the dynamic characteristics of discontinuous delayed systems and have direct applications to the wireless sensor networks for guaranteeing fast response to malicious signals. Finally, the numerical simulations of three examples are given to validate the correctness of the theoretical results.

Please use this identifier to cite or link to this item:

http://hdl.handle.net/10453/168835