Finite-time event-triggered consensus for switched multi-agent systems

This paper investigates the finite-time event-triggered consensus problem for switched multi-agent systems (SMASs). A hybrid event-triggered scheme is proposed that effectively eliminates the Zeno behavior. The triggering threshold dictates the quantity of sampled data transmitted to the controller. Based on this strategy, a finite-time stabilizing control protocol is designed. The protocol guarantees the finite-time stability of the SMASs with the time-varying delay. Furthermore, sufficient conditions for the finite-time consensus of asynchronous SMASs are established by constructing a Lyapunov–Krasovskii functional and designing agent-dependent switching laws with finite-time constraints. A simulation is conducted to demonstrate the effectiveness of the results.