期刊
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS
卷 69, 期 2, 页码 757-770出版社
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TCSI.2021.3115109
关键词
Oscillators; Synchronization; Frequency synchronization; Couplings; Force; Lyapunov methods; Network topology; Kuramoto oscillator networks; synchronization; external forcing; differential inequalities; Lyapunov function
资金
- Ministry of Science and Technology (MOST), Taiwan [109-3116-F-006-019-CC1, 109-2221-E-007-029, 110-2221-E-007-074, 110-3116-F-018-001, 110-2927-I-007-515]
- MOST [109-2115-M-002-013-MY3, 108-2115-M-009-012-MY2]
A differential inequality approach is utilized to derive stability conditions for synchronizing heterogeneous first-order forced coupled Kuramoto oscillator networks. The results show that frequency synchronization can be achieved under certain conditions, including cases where natural frequencies equal the external frequency and the coupling strength is relatively large. These proposed criteria appear to be less conservative compared to existing synchronization conditions through numerical simulations.
A differential inequality approach is utilized to derive several stability conditions for synchronizing heterogeneous first-order forced coupled Kuramoto oscillator networks. First, we show that if either the amplitude of the external force is large enough or all natural frequencies equal to the external frequency, the heterogeneous first-order forced coupled Kuramoto oscillator network will reach the frequency synchronization for any initial condition. In particular, when all natural frequencies equal to the external frequency, a phase synchronization can be achieved when the amplitude of external force is not zero and the initial configuration is confined to a half circle. For non-identical cases, we show that if the average of all natural frequencies equals to the external frequency, the coupling strength is relatively large compared to the differences of natural frequencies and the amplitudes of external forces, and the initial configuration is confined to a half circle, the heterogeneous first-order forced coupled Kuramoto oscillator network still exhibit a frequency synchronization. Both quantitative and qualitative comparisons with existing synchronization conditions are examined by numerical simulations. These results indicate that these proposed criteria seem to be less conservative.
作者
我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。
推荐
暂无数据