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

Abstract

<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 event-triggered mechanism is proposed where an auxiliary impulse parameter is introduced to regulate the triggering threshold dynamically for saving the network resource. Based on SPP-dependent Lyapunov function, some sufficient conditions involving the impulsive gain, triggering parameters and singular perturbation parameter (SPP) are obtained to synchronize the SPCNs, and the upper bound of SPP is also determined. Moreover, it proves that the Zeno behavior can be excluded. Finally, two simulations are provided to demonstrate the validity of the obtained results.</p>

Adaptive Sliding Mode Filtering Control of Memristor-Based Bao Hyper-chaotic System

“…In recent decades, there has been significant attention given to the research on control methods for memristor chaotic systems. Notable control methods for memristor chaotic systems encompass traditional PID control [15,16], adaptive control [17,18], sliding mode control [19,20], impulse control [21,22], as well as emerging techniques like event-triggered control [23,24] and fuzzy control [25,26].…”