Pth Moment Exponential Synchronization for Delayed Multi-Agent Systems With Lvy Noise and Markov Switching

This brief discusses $p$ th moment exponential synchronization of multi-agent systems (MASs). First, a new model is proposed, which includes Levy noise and Markov switching. Second, based on Lyapunov stability theory, the exponential stability criterion for one-leader multi-follower MASs is obtained. At the same time, leaderless multi-agent systems (LMASs) are constructed, which are different from leader-follower MASs. LMASs have no signal guidance and rely only on information transmission from neighbors. Compared with some existing results, the controller without signed functional is proposed to achieve $p$ th moment exponential synchronization of MASs, which avoids chattering phenomenon. Finally, simulation verifies the validity of these conclusions.