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

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.

Automated summary

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. 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.