Dynamics of a controlled discontinuous computer worm system

Li, W; Ji, J; Huang, L

Dynamics of a controlled discontinuous computer worm system

Li, W Ji, J

Huang, L

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Publisher:: American Mathematical Society
Publication Type:: Journal Article
Citation:: Proceedings of the American Mathematical Society, 2020, 148, (10), pp. 4389-4403
Issue Date:: 2020-10-01

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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.date.accessioned	2021-06-04T00:40:26Z
dc.date.available	2021-06-04T00:40:26Z
dc.date.issued	2020-10-01
dc.identifier.citation	Proceedings of the American Mathematical Society, 2020, 148, (10), pp. 4389-4403
dc.identifier.issn	0002-9939
dc.identifier.issn	1088-6826
dc.identifier.uri	http://hdl.handle.net/10453/149404
dc.description.abstract	© 2020 American Mathematical Society This paper studies the dynamic behaviour of a computer worm system under a discontinuous control strategy. Some conditions for globally asymptotically stable solutions of the discontinuous system are obtained by using the Bendixson–Dulac theorem, Green’s formula, and the Lyapunov function. It is found that the solutions of the controlled computer worm system can converge to either of two local equilibrium points or the sliding equilibrium point on the discontinuous surface. It is shown that a threshold control strategy can effectively control the spread of computer viruses. The research results may be applicable to control other types of virus systems.
dc.language	English
dc.publisher	American Mathematical Society
dc.relation.ispartof	Proceedings of the American Mathematical Society
dc.relation.isbasedon	10.1090/proc/15095
dc.rights	info:eu-repo/semantics/closedAccess
dc.subject	0101 Pure Mathematics
dc.title	Dynamics of a controlled discontinuous computer worm system
dc.type	Journal Article
utslib.citation.volume	148
utslib.for	0101 Pure Mathematics
utslib.for	0101 Pure 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	*
pubs.consider-herdc	true
dc.date.updated	2021-06-04T00:40:25Z
pubs.issue	10
pubs.publication-status	Published
pubs.volume	148
utslib.citation.issue	10

Abstract:

© 2020 American Mathematical Society This paper studies the dynamic behaviour of a computer worm system under a discontinuous control strategy. Some conditions for globally asymptotically stable solutions of the discontinuous system are obtained by using the Bendixson–Dulac theorem, Green’s formula, and the Lyapunov function. It is found that the solutions of the controlled computer worm system can converge to either of two local equilibrium points or the sliding equilibrium point on the discontinuous surface. It is shown that a threshold control strategy can effectively control the spread of computer viruses. The research results may be applicable to control other types of virus systems.

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http://hdl.handle.net/10453/149404