L2-L∞ consensus of stochastic delayed multi-agent systems with ADT switching interaction topologies

Abstract This paper investigates the L 2 − L ∞ consensus for a class of stochastic delayed multi-agent systems subject to switching interaction topologies via utilizing an observer-based control protocol. The switching between the interaction topologies is assumed to have the average dwell time (ADT) constraint. With the aid of a simple model transformation, the L 2 − L ∞ consensus issue is transformed into the problem of weighted stochastic L 2 − L ∞ control. Analysis results on the weighted stochastic L 2 − L ∞ control are proposed by constructing Lyapunov-Krasovskii functional and employing stochastic analysis methods. Then, an approach is developed to determine the desired observer-based consensus protocol. Finally, an illustrative numerical example is given to show the usefulness of our design method.

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