Impulsive sampled-data synchronization of directed coupled harmonic oscillators

Author

Liyun Zhao ; Quanjun Wu ; Zhou Jin

Author_Institution

Shanghai Inst. of Appl. Math. & Mech., Shanghai Univ., Shanghai, China

fYear

2014

fDate

28-30 July 2014

Firstpage

3950

Lastpage

3954

Abstract

In this paper we propose a distributed protocol for synchronization of directed coupled harmonic oscillators with local instantaneous interaction. We provide convergence analysis for such protocol over fixed and switching directed network topologies, respectively. It is shown that directed coupled harmonic oscillators can synchronize when coupling strengthen is less than a given threshold value and impulsive intervals belong to certain interval. Furthermore, if the impulsive intervals are constant, those conditions are sufficient and necessary. Subsequently, numerical examples illustrate and visualize the effectiveness and feasibility of the theoretical results.

Keywords

convergence; directed graphs; harmonic oscillators; network theory (graphs); sampled data systems; synchronisation; topology; convergence analysis; coupled harmonic oscillators; directed coupled oscillators; distributed protocol; impulsive sampled-data synchronization; local instantaneous interaction; switching directed network topologies; Eigenvalues and eigenfunctions; Harmonic analysis; Laplace equations; Oscillators; Switches; Synchronization; Topology; Coupled Harmonic Oscillators; Directed Networks; Impulsive Sampled-Data Control; Synchronization;

fLanguage

English

Publisher

ieee

Conference_Titel

Control Conference (CCC), 2014 33rd Chinese

Conference_Location

Nanjing

Type

conf

DOI

10.1109/ChiCC.2014.6895598

Filename

6895598