Consensus of First-order Multi-agent Systems via Adaptive Event-Based Impulsive Control

This paper investigates the consensus problem of first-order multi-agent systems with adaptive event-based impulsive controller. The triggering function based on the states of the agents is designed. The impulsive instants are determined by the triggering function and triggering condition, that is, the impulsive effect performs at the instants when the events occur, and so as the controllers update. It is shown that not only the consensus can be achieved without the continue communication between neighboring agents but also the global information/parameters of the concerned closed-loop system are avoided. Moreover, the Zeno-behavior is excluded for the concerned closed-loop system. Finally, a numerical example is provided to illustrate the effectiveness of the obtained theoretical results.