P th Moment Exponential Synchronization for Delayed Multi-Agent Systems With Lévy Noise and Markov Switching

作者：Meng Shi, Dongbing Tong, Qiaoyu Chen, Wuneng Zhou · 发表于：IEEE Transactions on Circuits & Systems II Express Briefs · 年份：2023 · DOI：10.1109/tcsii.2023.3304635 · 被引用次数：19 · 研究领域：Neural Networks Stability and Synchronization、Distributed Control Multi-Agent Systems、Nonlinear Dynamics and Pattern Formation

This brief discusses$p$th moment exponential synchronization of multi-agent systems (MASs). First, a new model is proposed, which includes Lévy 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.