Finite-Time Synchronization of Complex Dynamic Networks via Pinning Hybrid Control With Stochastic Disturbances

This article presents a novel theoretical framework for the finite-time synchronization (FTS) of complex dynamic networks (CDNs) under stochastic disturbances. Few studies have explored the combination of pinning impulsive control and pinning finite-time feedback control, with most finite-time feedback controls being designed globally rather than locally. Our approach integrates both pinning impulsive and pinning finite-time feedback strategies to achieve FTS of CDNs. We introduce a new impulse-type stochastic finite-time stability theory to demonstrate FTS in the presence of disturbances. Additionally, we propose criteria to ensure FTS and provide an explicit expression for the settling time, which is shown to be shorter than those in previous works. A numerical simulation is presented to validate the proposed methodology.