Consensus of time-delay stochastic multiagent systems with impulsive behavior and exogenous disturbances

This note investigates the consensus problem of stochastic time-delay dynamical multiagent systems with impulsive behavior. The impulse instants of each agent are not necessarily synchronized with other agents. We provide a compact framework of the overall system then a classical distributed consensus protocol is investigated to guarantee practical exponential consensus of the multiagent system. For each agent, an event-triggered mechanism is used to sample and update the control signals only when its error exceeds the combinational measurements of its neighboring agents. By using the stability theory of stochastic dynamics and the properties of the Laplacian matrix, sufficient condition is presented to guarantee the synchronization among agents. A numerical example is presented to show the effectiveness of the theoretical results.