Exponential consensus of non-linear stochastic multi-agent systems with ROUs and RONs via impulsive pinning control.

Exponential consensus of non-linear stochastic multi-agent systems is investigated. The authors consider a class of non-linear stochastic multi-agent systems that are subject to time-varying delays, randomly occurring uncertainties and randomly occurring non-linearities. Impulsive pinning control algorithms are proposed to ensure that follower agents track the leader under a fixed topology. On the basis of the Lyapunov function and the Halanay differential inequality of impulsive dynamical systems, we derive sufficient conditions for the globally exponential consensus of the multi-agent systems. Finally, numerical simulations demonstrate the effectiveness of the proposed theoretical results. [ABSTRACT FROM AUTHOR]