Graph‐theoretic approach to finite‐time synchronization and topology identification of delayed multi‐group models with stochastic perturbation and multiple dispersal

Abstract

This paper investigates the issue of finite‐time synchronization and topology identification of delayed multi‐group models with stochastic perturbation and multiple dispersal. Based on the graph‐theoretic approach, a novel finite‐time topology identification scheme is proposed via drive‐response synchronization. Then, several useful finite‐time topology identification criteria are presented. The topology identification of delayed multi‐group models with stochastic perturbation and multiple dispersal is acquired in finite time under the desired feedback controller. Finally, a numerical example is given to validate the effectiveness of the result developed.