Adaptive event-triggered consensus for multi-agent systems with stochastic switching topologies and delays

This paper is concerned with the consensus problem for a class of Lipschitz nonlinear agents with Markov switching topologies and time-varying delays. The distributed event-triggered consensus control with an adaptive law in adjusting the coupling weights between neighboring agents is designed, which can not only guarantee the consensus performance in the mean square sense but also reduce the communication burden since the introduction of the event-triggered communication scheme. Different from the traditional event-triggers in the existing references, the parameter of the event-trigger in this paper is adaptively adjusted by using an adaptive law. A convincing simulation example is given to illustrate the theoretical results.