Title
Adaptive synchronization of coupled harmonic oscillators under switching topology.
Abstract
This paper investigates the adaptive synchronization for coupled harmonic oscillators with switching topology. Edge-based adaptive control protocols are proposed for both leaderless and leader-following synchronization for coupled harmonic oscillators with switching topology. Using Lyapunov stability theory, by parting the topology graph into connected components (containing at least two connected vertices) and isolated vertex components (containing a isolated vertex), full distributed adaptive synchronization conditions are obtained, which can guarantee that the synchronization conditions do not require any global information except a mild connection assumption. Finally numerical simulations are presented to illustrate the theoretical findings.
Year
DOI
Venue
2019
10.1016/j.jfranklin.2018.05.007
Journal of the Franklin Institute
Field
DocType
Volume
Graph,Topology,Synchronization,Vertex (geometry),Control theory,Global information,Lyapunov stability,Connected component,Adaptive control,Harmonic oscillator,Mathematics
Journal
356
Issue
ISSN
Citations 
2
0016-0032
2
PageRank 
References 
Authors
0.36
21
4
Name
Order
Citations
PageRank
Chengjie Xu120.36
Yulin Zhao271.79
Bin Qin3293.59
Hong Zhang431.39