Almost sure consensus of stochastic nonlinear multi-agent systems via event-triggered control

In this study, the almost sure consensus of stochastic nonlinear multi-agent systems via event-triggered control is discussed. Firstly, the event trigger protocol is proposed, and the interval between two consecutive triggers has a fixed lower bound. Obviously, the trigger conditions mentioned avoid Zeno behavior. Secondly, based on the stochastic convergence theorem, the almost sure consensus of stochastic nonlinear multi-agent system via event-triggered control is analyzed without applying the famous Lyapunov theorem. Finally, the effectiveness of the proposed theory is verified by a simulation example.

Automated summary

This study discusses the almost sure consensus of stochastic nonlinear multi-agent systems via event-triggered control. A proposed event trigger protocol with a fixed lower bound on the interval between two consecutive triggers avoids Zeno behavior. Utilizing the stochastic convergence theorem, the almost sure consensus is analyzed without the application of the famous Lyapunov theorem. The proposed theory is verified by a simulation example.