Finite-Time Synchronization of Complex Dynamical Networks via a Novel Hybrid Controller

The issue of finite-time synchronization (FTS) of complex dynamical networks (CDNs) is investigated in this article. A new control strategy coupling weak finite-time control and finite times of impulsive control is proposed to realize the FTS of CDNs, where the impulses are synchronizing and restricted by maximal impulsive interval (MII), differing from the existing results. In this framework, several global and local FTS criteria are established by using the concept of impulsive degree. The times of impulsive control in the controllers and the settling time, which are all dependent on initial values, are derived optimally. A technical lemma is developed, reflecting the core idea of this article. A simulation example is given to demonstrate the main results finally.

Automated summary

This article investigates the issue of finite-time synchronization of complex dynamical networks (CDNs) and proposes a new control strategy that combines weak finite-time control with finite times of impulsive control to achieve finite-time synchronization of CDNs. The proposed strategy synchronizes the impulses within a maximal impulsive interval (MII), which is different from existing results. Global and local criteria for finite-time synchronization are established using the concept of impulsive degree. The optimal values for the times of impulsive control in the controllers and the settling time are derived based on initial values. The article also introduces a technical lemma that reflects the core idea. Finally, a simulation example is provided to demonstrate the main results.