Synchronization for singularity-perturbed complex networks via event-triggered impulsive control

<p style='text-indent:20px;'>This paper studies synchronization of singularity-perturbed complex networks (SPCNs) with a small singular perturbation parameter (SPP) via event-triggered impulsive control (ETIC). A novel dynamic mechanism is proposed where an auxiliary impulse introduced to regulate the triggering threshold dynamically for saving network resource. Based on SPP-dependent Lyapunov function, some sufficient conditions involving gain, parameters and are obtained synchronize SPCNs, upper bound SPP also determined. Moreover, it proves that Zeno behavior can be excluded. Finally, two simulations provided demonstrate validity results.</p>