Abstract
In this chapter, the distributed exponential consensus of stochastic delayed multiagent systems with nonlinear dynamics is investigated under asynchronous switching. The asynchronous switching considered here accounts for the time of identifying the active modes of multiagent systems. After receiving confirmation of mode's switching, the matched controller can be applied, which means that the switching time of the matched controller in each node usually lags behind that of system switching. In order to handle the coexistence of switched signals and stochastic disturbances, a comparison principle of stochastic switched delayed systems is first proved. By means of this extended comparison principle, several easy to verify conditions for the existence of an asynchronously switched distributed controller are derived such that stochastic delayed multiagent systems with asynchronous switching and nonlinear dynamics can achieve global exponential consensus.
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