Distributed Asynchronous Impulsive Consensus of Multi-agent Systems

This chapter studies the consensus of nonlinear multi-agent systems (MASs) via distributed asynchronous impulsive protocol. Based on the theory of Lyapunov stability and impulsive differential equation, some new sufficient conditions about asynchronous impulsive strategy are derived to realize the consensus of MASs. Different from the common synchronous impulsive protocol, the asynchronous impulsive protocol does not need all agents are controlled simultaneously at one impulsive instant. In addition, two schemes are proposed to reduce the conservatism of the asynchronous impulsive method and enhance the practicability of the control strategy. Finally, some numerical simulation examples are given to verify the correctness of the theoretical results in this chapter.