Abstract
The mean square exponential consensus problem for stochastic multi-agent systems with unbounded distributed delays is investigated. Two delayed impulsive pinning control protocols are proposed that are different from those of existing delay-free impulsive pinning controllers. By employing the Lyapunov function method, sufficient conditions are constructed under the presented strategies. It is shown that the system can realize mean square exponential consensus by controlling a small portion of agents. Then, the simulations indicate that the scheme is both feasible and effective.
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