Title :
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
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;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.2015.2416912
