Title
Stochastic feedback coupling synchronization of networked harmonic oscillators.
Abstract
This paper presents a stochastic feedback coupling strategy for almost sure exponential synchronization of networked harmonic oscillators. Differing from most of existing publications, in which noise is not beneficial to synchronization in complex dynamical networks, a stochastic coupling strategy is designed here by using discrete-time noisy sampled-data to achieve the almost sure exponential synchronization of networked harmonic oscillators. Both leaderless synchronization and leader-following synchronization of networked harmonic oscillators are considered. Some sufficient conditions are established to reach two types of synchronization by employing algebraic graph theory, Itô stochastic integral, stochastic control technique and mathematical analysis. Two numerical simulations are provided to illustrate the effectiveness of the theoretical results.
Year
DOI
Venue
2018
10.1016/j.automatica.2017.10.011
Automatica
Keywords
Field
DocType
Almost sure exponential synchronization,Networked harmonic oscillator,Noisy sampled-data,Stochastic feedback
Synchronization,Coupling,Synchronization networks,Control theory,Exponential synchronization,Algebraic graph theory,Stochastic integral,Mathematics,Harmonic oscillator,Stochastic control
Journal
Volume
Issue
ISSN
87
1
0005-1098
Citations 
PageRank 
References 
3
0.37
20
Authors
5
Name
Order
Citations
PageRank
Jingyi Wang1838.91
Chen Xu226929.36
Michael Z. Q. Chen328222.00
Jianwen Feng420015.73
Guanrong Chen5123781130.81