Abstract
In the article, the topic of consensus for delayed multi-agent dynamical systems with stochastic perturbation and impulsive effects is investigated. By introducing the stochastic and impulsive disturbances effects which are omnipresent not only in manmade systems but also in nature into the multi-agent systems, our control scheme is much more reasonable in real systems. Both internal delay and transmission delay are all under consideration in our paper. Based on the algebraic graph theory, the Lyapunov stability theory and Halanay inequality matrix theory, some adequate conditions are proposed to guarantee the consensus of delayed multi-agent dynamical systems with stochastic perturbation via impulsive control. The pinning control is also presented in the paper. Simulation results are given to verify the validity of the proposed control mechanism finally.
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