Fixed-Time Synchronization of Coupled Oscillator Networks with a Pacemaker

被引：4
|
作者：
Guo, Xiufeng [1 ]
Rao, Pengchun [1 ]
Wu, Zhaoyan [2 ]
机构：
[1] East China Jiaotong Univ, Sch Sci, Nanchang 330013, Peoples R China
[2] Jiangxi Normal Univ, Sch Math & Stat, Nanchang 330022, Peoples R China
来源：
SENSORS | 2022年 / 22卷 / 23期
基金：
中国国家自然科学基金;
关键词：
fixed-time; Kuramoto oscillator; pacemaker; cyber-physical system (CPS); synchronization; EXPONENTIAL SYNCHRONIZATION; KURAMOTO OSCILLATORS; FINITE-TIME; LOCKING; MODEL;
D O I：
10.3390/s22239460
中图分类号：
O65 [分析化学];
学科分类号：
070302 ; 081704 ;
摘要：
This paper investigates the fixed-time synchronization problem of a Kuramoto-oscillator network in the presence of a pacemaker. Based on the framework of the cyber-physical system (CPS), fixed-time synchronization criteria of such network are presented respectively for identical and non-identical oscillators. In virtue of Lyapunov stability analyses, sufficient conditions are deduced for achieving phase agreement and frequency synchronization for arbitrary initial phases and/or frequencies under distributed control strategies. Theoretical analysis shows that synchronization can be achieved in a fixed time, which is unrelated to initial phases/frequencies. Furthermore, the upper bounds of synchronization time are also obtained. Finally, the numerical simulations also verify the effectiveness of the derived results.
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收藏
页数：12
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