Impulsive synchronisation of linear complex dynamical networks with time delay on time scales
Jie Sun, Yingxin Guo, Qingrun Niu · International Journal of Control · 2022
In this paper, we investigate the impulsive synchronisation of linear complex dynamical networks (CDNs) with time delay on time scales by a method of pinning impulsive control. We use the time scales theory and the Lyapunov method to derive a synchronisation criterion. We find that we can achieve the synchronisation of CDNs through only controlling a small number of nodes and the modelling framework here can enrich the models of continuous/discrete-time CDNs. In the end, we give some numerical simulations to demonstrate the feasibility of the theoretical analysis.