Stochastic convergence problems on switching networks: An event-triggered method

The paper investigates stochastic convergence problems of multi-agent systems with double-integrator dynamics. Based on the consideration of external interference and dynamic topology, a robust controller is proposed to avoid continuous communication between agents via time-dependent event-triggered protocol. The advantage of time-dependent event-triggered protocol is that its effectiveness does not decrease with the increase of the number of agents. Then, in the framework of fixed topology and Markov switching topologies, the convergence conditions are obtained respectively. In addition, singular triggering and Zeno phenomena are excluded. Finally, the effectiveness of the proposed theory is verified by numerical simulations.