Synchronization for singularity-perturbed complex networks via event-triggered impulsive control
In this paper singularly perturbed complex networks are studied. Event-triggered impulsive control synchronization is applied to such networks. An \(\varepsilon\)-dependent impulsive gain is designed by the authors which is subject to the two-timescale characteristics. The impulsive sequence is determined by the designed triggering condition. The event-triggered mechanism based on the \(\varepsilon\)-dependent Lyapunov function is designed as well. As a result, the next triggering instant is dynamically adjusted according to the value of the auxiliary impulsive parameter at the last triggering instant, which effectively reduces the number of triggering times. Numerical simulations of two examples are provided in order to illustrate the obtained theoretical results.
scientific article; zbMATH DE number 7606753
scientific article