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Network synchronisation; finite-time; Lyapunov theorem; unidirectional coupling

In this paper, the problem of finite-time synchronisation of uncertain delay spatiotemporal networks via unidirectional coupling technology is investigated. Based on Lyapunov theorem and finite-time stability theory, an effective finite-time synchronisation scheme is designed to achieve finite-time synchronisation between uncertain delay spatiotemporal networks, and adaptive estimations of coupling coefficient, unknown parameter and uncertain network topology are realised. Then, the Fisher–Kolmogorov spatiotemporal model is used as the state equation of the network node for numerical simulation. The simulation results show that the finite-time synchronisation scheme is effective.

SHUANG ZHOU¹ YIXUAN HONG¹ YIMING YANG¹ LING Lܹ CHENGREN LI¹

1. School of Physics and Electronic Technology, Liaoning Normal University, Dalian 116029, China

Published

30 January 2020

Manuscript received

6 July 2019

Manuscript revised

7 November 2019

Accepted

19 November 2019

Early published

Unedited version published online

Final version published online

30 January 2020