Distributed control of nonlinear stochastic multi-agent systems with external disturbance and time-delay via event-triggered strategy

In this paper, the distributed event-triggered control (ETC) problems for nonlinear stochastic multi-agent systems (MASs) with external disturbance and time-delay are discussed. The leader-following input-to -state actual exponential mean-square consensus (EMSC) criteria are established in networks containing a directed spanning tree. By devising appropriate Lyapunov-Krasovskii function, sufficient conditions for the model to achieve leader-following input-to-state actual EMSC are obtained. The control gain matrix is designed to realize the controller. The lower bounds of interexecution times are given to show that the Zeno-behavior will not appear. Besides, the validity of theoretical analyses is verified by simulation. (c) 2021 Elsevier B.V. All rights reserved.

Automated summary

This paper discusses the distributed event-triggered control problems for nonlinear stochastic multi-agent systems with external disturbance and time-delay, establishing criteria for leader-following consensus in networks containing a directed spanning tree. By designing appropriate Lyapunov-Krasovskii function, sufficient conditions for achieving consensus are obtained, and the control gain matrix is designed accordingly to realize the controller. Lower bounds of interexecution times are provided to prevent Zeno-behavior, and the theoretical analyses are verified through simulation.