Pinning event‐triggered control for stochastic discrete‐time complex networks with time‐varying delay

In this study, the distributed event‐triggered control strategy is found to cope with the pinning control problem of stochastic discrete‐time complex networks with time‐varying delay. Under the devised mechanism, exponential mean‐square synchronisation can be implemented in the directed networks. By utilising the Lyapunov functional method and the stochastic analysis, several sufficient conditions are established. Moreover, the issue of average synchronisation is investigated. For the stochastic complex networks without reference state, it is demonstrated that all nodes can converge to a time‐varying weighted average exponentially by a suitable distributed event‐triggered controller. Finally, some numerical examples are presented to indicate the effectiveness of the devised control strategies.