Consensus control for stochastic delayed multi-agent systems with disturbances and switching topologies

This paper is devoted to the study of consensus of a class of stochastic delayed multi-agent systems with disturbances and switching topologies. The aim is to design an output-feedback controller so that the system under consideration reaches L2-L∞ consensus in mean square. By applying a model transformation, the closed-loop system is transformed into a reduced-order system. Next, a sufficient condition concerning the mean-square stability and L2-L∞ performance of the reduced-order system is established. With the aid of the condition, a method for the output-feedback controller design is developed in terms of linear matrix inequalities. Finally, an example is provided to illustrate the applicability of the present method. (paper)