Fixed-time event-triggered synchronization of Kuramoto network under time-varying topology and stochastic perturbation
SUN Jia
JIA Yu-bin
WU Yong-bao
DONG Lu
LIU Jian
Abstract：This paper studies a phase synchronization problem of the Kuramoto oscillator network model with time-varying coupling topology and stochastic interference,and proposes a fixed-time control method under event-triggered mechanism.A multi-layer event-triggered distributed control strategy is proposed for the coupling network under the assumption that the topology is connected,and the negative effect of random disturbance on synchronization performance is addressed.The control parameter conditions for realizing practical fixed-time phase synchronization and the upper bound of the settling time are presented by the stochastic Lyapunov stability theory and fixed-time stability theory.Moreover,it is proved that the proposed event-triggered mechanism with hyperbolic tangent function does not produce Zeno behavior.The lower bound of the triggered time interval is given.At the same time,the conclusion that the proposed control can also deal with the unconnected topology of oscillator is given in corollary.Finally,the validity of the theoretical analysis results are verified by two sets of experiments with different noise intensities.
Keywords：Kuramoto modelnetworked control systemstochastic perturbationfixed-time synchronizationevent-triggered controlswitching networks
Publication Date：2024-01-28
Online Publishing Date：2025-08-15(First online date of this platform, not the publication date of the document)
Pages：10( 1-10 )