Practical stochastic synchronisation of coupled harmonic oscillators subjected to heterogeneous noises and its applications to electrical systems

Wang, G; Ji, J; Zhou, J

Practical stochastic synchronisation of coupled harmonic oscillators subjected to heterogeneous noises and its applications to electrical systems

Wang, G Ji, J

Zhou, J

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Publisher:: Institution of Engineering and Technology
Publication Type:: Journal Article
Citation:: IET Control Theory and Applications, 2019, 13, (1), pp. 96-105
Issue Date:: 2019-01-01

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Field	Value	Language
dc.contributor.author	Wang, G
dc.contributor.author	Ji, J https://orcid.org/0000-0003-3280-5463
dc.contributor.author	Zhou, J
dc.date.accessioned	2020-05-10T22:53:35Z
dc.date.available	2020-05-10T22:53:35Z
dc.date.issued	2019-01-01
dc.identifier.citation	IET Control Theory and Applications, 2019, 13, (1), pp. 96-105
dc.identifier.issn	1350-2379
dc.identifier.issn	1751-8652
dc.identifier.uri	http://hdl.handle.net/10453/140609
dc.description.abstract	© The Institution of Engineering and Technology 2018. This study focuses on the practical stochastic synchronisation of coupled harmonic oscillators subjected to heterogeneous noises, where the dissipative and restorative couplings are no longer required in the connected network topologies. By employing the variational approach in combination with Lyapunov-like analysis, some simple yet generic practical synchronisation criteria are established in the sense of probability distribution and of mean square for coupled harmonic oscillator with directed network topology. Three main issues on stochastic synchronisation, including practical distribution synchronisation, stochastic distribution synchronisation, and practical mean square synchronisation, as well as their differences and relationships are fully addressed. The developed practical synchronisation criteria are then applied to a representative model of electrical systems which are composed of LC oscillators with linear time-invariant (LTI) resistors and inductors. Finally, numerical simulations are provided to show the effectiveness of the developed methods.
dc.language	English
dc.publisher	Institution of Engineering and Technology
dc.relation.ispartof	IET Control Theory and Applications
dc.relation.isbasedon	10.1049/iet-cta.2018.5445
dc.rights	info:eu-repo/semantics/closedAccess
dc.rights	This paper is a postprint of a paper submitted to and accepted for publication in IET Control Theory and Applications and is subject to Institution of Engineering and Technology Copyright. The copy of record is available at the IET Digital Library.	en_US
dc.subject	0102 Applied Mathematics, 0906 Electrical and Electronic Engineering, 0913 Mechanical Engineering
dc.subject.classification	Industrial Engineering & Automation
dc.title	Practical stochastic synchronisation of coupled harmonic oscillators subjected to heterogeneous noises and its applications to electrical systems
dc.type	Journal Article
utslib.citation.volume	13
utslib.for	0102 Applied Mathematics
utslib.for	0906 Electrical and Electronic Engineering
utslib.for	0913 Mechanical Engineering
utslib.for	0102 Applied Mathematics
utslib.for	0906 Electrical and Electronic Engineering
utslib.for	0913 Mechanical Engineering
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
pubs.organisational-group	/University of Technology Sydney
utslib.copyright.status	closed_access	*
pubs.consider-herdc	true
dc.date.updated	2020-05-10T22:53:32Z
pubs.issue	1
pubs.publication-status	Published
pubs.volume	13
utslib.start-page	96
utslib.citation.issue	1

Abstract:

© The Institution of Engineering and Technology 2018. This study focuses on the practical stochastic synchronisation of coupled harmonic oscillators subjected to heterogeneous noises, where the dissipative and restorative couplings are no longer required in the connected network topologies. By employing the variational approach in combination with Lyapunov-like analysis, some simple yet generic practical synchronisation criteria are established in the sense of probability distribution and of mean square for coupled harmonic oscillator with directed network topology. Three main issues on stochastic synchronisation, including practical distribution synchronisation, stochastic distribution synchronisation, and practical mean square synchronisation, as well as their differences and relationships are fully addressed. The developed practical synchronisation criteria are then applied to a representative model of electrical systems which are composed of LC oscillators with linear time-invariant (LTI) resistors and inductors. Finally, numerical simulations are provided to show the effectiveness of the developed methods.

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http://hdl.handle.net/10453/140609