Synchronization of Kuramoto-oscillator networks under event-triggered delayed impulsive control

The paper mainly studies the synchronization of Kuramoto-oscillator networks (KONs) under event-triggered delayed impulsive control (ETDIC). Instead of pre-setting the impulsive instants, the impulsive sequence is determined by the designed ETDIC strategy. According to the Lyapunov stability theory and proposed ETDIC strategy, the phase and frequency synchronization criteria of KONs with identical and nonidentical natural frequency are proposed, respectively. In addition, the Zeno phenomenon can be avoided under the proposed ETDIC. Finally, two examples are provided to show the validity of the obtained results. (C) 2022 Elsevier B.V. All rights reserved.

Automated summary

This paper mainly studies the synchronization problem of KON networks under ETDIC. The impulsive sequence is determined by the designed ETDIC strategy instead of pre-setting the impulsive instants. The phase and frequency synchronization criteria for KON networks with identical and nonidentical natural frequency are proposed based on the Lyapunov stability theory and the proposed ETDIC strategy. In addition, the proposed ETDIC can avoid the occurrence of the Zeno phenomenon. Two examples are provided to demonstrate the validity of the obtained results.