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

Content Provider	IET Digital Library
Author	Wang, Guoqiang Ji, Jinchen Zhou, Jin
Abstract	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.
Starting Page	96
Ending Page	105
Page Count	10
ISSN	17518644
Volume Number	13
e-ISSN	17518652
Issue Number	Issue 1, Jan (2019)
Alternate Webpage(s)	https://digital-library.theiet.org/content/journals/iet-cta/13/1
Alternate Webpage(s)	https://digital-library.theiet.org/content/journals/10.1049/iet-cta.2018.5445
Journal	IET Control Theory & Applications
Publisher Date	2018-11-05
Access Restriction	Open
Rights Holder	© The Institution of Engineering and Technology
Subject Keyword	Complex Network Connected Network Topology Coupled Harmonic Oscillator Directed Network Topology Dissipative Couplings Electrical System Harmonic Oscillator (circuits) Heterogeneous Noises Inductor LC Oscillator LTI Resistors Lyapunov Method Lyapunov-like Analysis Network Topology Oscillator Practical Mean Square Synchronisation Practical Stochastic Synchronisation Practical Synchronisation Criteria Restorative Couplings Statistical Distribution Statistics Stochastic Distribution Synchronisation Stochastic Linearised SCUC Synchronisation
Content Type	Text
Resource Type	Article
Subject	Control and Optimization Control and Systems Engineering Human-Computer Interaction Electrical and Electronic Engineering Computer Science Applications

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