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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.

Impulsive synchronisation of linear complex dynamical networks with time delay on time scales