Event-Based Pinning Synchronization in Delayed Dynamical Networks With Stochastic Noises

This work investigates the synchronization problem in a class of dynamical network with stochastic noises in the couplings, where each node has delayed dynamics, and some pinning controllers are assigned to a portion of nodes. In order to reduce the redundant update of the control, an event-triggering mechanism is applied to synchronize the entire network. Based on the stability theory of delayed stochastic differential equation, some sufficient condition is derived to guarantee successful synchronization in mean square sense under the proposed control scheme. Some numerical simulations are given to demonstrate the validity of the theoretical results.

I. Introduction

Synchronization has been a significant topic for the control community, aiming to controlling a group of coupled units to achieve coordination and consistency in various research areas, such as neural networks [1], chaotic systems [2], and nonlinear oscillators [3]. Meanwhile, it also inspires many practical applications in engineering, including the aircraft alignment [4], collaborative interactive robots [5], and synchronization of distributed generators [6].