Finite-time synchronisation of uncertain delay spatiotemporal networks via unidirectional coupling technology

• Published in: Pramāṇa Vol. 94; no. 1
• Main Authors: Zhou, Shuang, Hong, Yixuan, Yang, Yiming, Lü, Ling, Li, Chengren
• Format: Journal Article
• Language: English
• Published: New Delhi Springer India 01-12-2020; Springer Nature B.V
• Subjects: Astronomy; Astrophysics and Astroparticles; Computer simulation; Coupling coefficients; Delay; Equations of state; Mathematical models; Network topologies; Networks; Observations and Techniques; Parameter estimation; Parameter uncertainty; Physics; Physics and Astronomy; Time synchronization; unidirectional coupling; Lyapunov theorem; finite-time; 64.60.aq; Network synchronisation; 05.45.Xt
• ISSN: 0304-4289; 0973-7111
• DOI: 10.1007/s12043-019-1903-3

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.