Pinning Synchronization in Heterogeneous Networks of Harmonic Oscillators
Date of Original Version
In this paper, a networked heterogeneous system coupled of multiple nonidentical harmonic oscillators is investigated. The synchronization problem for the networked heterogeneous system is studied. To synchronize the heterogeneous network, a leader is introduced. Based on the pinning control, a distributed control input is proposed to synchronize the heterogeneous network to the leader. By Lyapunov functional method and matrix theory, sufficient conditions for guaranteeing quasi-synchronization between the heterogeneous network and the leader are obtained. The theoretical results show that all the heterogeneous oscillators can tend eventually to the leader oscillator within a bounded error. Finally, numerical simulations are provided to verify the effectiveness of the theoretical results.
Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Wang, Zhengxin, Jingbo Fan, He Jiang, and Haibo He. "Pinning Synchronization in Heterogeneous Networks of Harmonic Oscillators." Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) 10636 LNCS, (2017): 836-845. doi:10.1007/978-3-319-70090-8_85.