Couple-Group Consensus for Multiagent Systems via Time-Dependent Event-Triggered Control

Abstract EN

This paper investigates couple-group consensus problems for multiagent first-order and second-order systems.

Several consensus protocols are proposed based on the time-dependent distributed event-triggered control.

For the case of no communication delays, the time-dependent event-triggered strategies are applied to couple-group consensus problems.

Based on the matrix theory, algebraic conditions for couple-group consensus are established.

For the system with communication delays, based on event-triggered strategies, a Lyapunov-Krasovskii functional is constructed to prove the input-to-state stability of the systems.

Moreover, Zeno behavior is excluded.

Finally, numeral examples are given to illustrate the effectiveness of these results.