Synchronization of Complex Networks via Aperiodically Intermittent Pinning Control

Author

Xiwei Liu ; Tianping Chen

Author_Institution

Dept. of Comput. Sci. & Technol., Tongji Univ., Shanghai, China

Volume

60

Issue

12

fYear

2015

Firstpage

3316

Lastpage

3321

Abstract

In this note, synchronization for linearly coupled network is investigated by pinning a simple aperiodically intermittent controller. Nodes´ dynamical behaviors in the network are described by continuous-time ordinary differential equations. Some sufficient conditions to guarantee global synchronization are presented. Furthermore, an adaptive algorithm is designed for the pinning control gain and its validity is also proved rigorously. Finally, numerical simulations are given to demonstrate the correctness of obtained results.

Keywords

adaptive control; continuous time systems; differential equations; directed graphs; linear systems; synchronisation; adaptive algorithm; aperiodically intermittent pinning control gain; complex network; continuous-time ordinary differential equation; node dynamical behavior; synchronization; Couplings; Eigenvalues and eigenfunctions; Numerical simulation; Oscillators; Symmetric matrices; Synchronization; Trajectory; Adaptive control; aperiodic; intermittent pinning; synchronization;

fLanguage

English

Journal_Title

Automatic Control, IEEE Transactions on

Publisher

ieee

ISSN

0018-9286

Type

jour

DOI

10.1109/TAC.2015.2416912

Filename

7070731