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Event-triggered bipartite leader-following consensus of second-order nonlinear multi-agent systems under signed digraph
Institution:1. School of Information Science and Technology, Nantong University, Jiangsu 226019, China;2. Nantong University Xinglin College, Jiangsu 226007, China;3. School of Electrical Engineering, Nantong University, Jiangsu 226019, China;1. College of Data Science, Taiyuan University of Technology, Taiyuan, 030024, China;2. School of Economic Information and Engineering, Southwestern University of Finance and Economics, Chengdu, 610074, China;3. School of Mathematics and Statistics, Changsha University of Science and Technology, Changsha, China;4. Hunan Provincial Key Laboratory of Mathematical Modeling and Analysis in Engineering, Changsha, Hunan 410114, China;5. School of Mathematics, Southeast University, Nanjing, 210096, China;1. School of Mathematics, Southeast University, Nanjing 210096, China;2. School of Automation and Electrical Engineering, Linyi University, Shandong, Linyi 276005, China;3. College of Mathematics, Physics and Information Engineering, Zhejiang Normal University, Jinhua 321004, China;4. Texas A&M University at Qatar, Doha 23874, Qatar;5. Faculty of Engineering, King Abdulaziz University, Jeddah 21589, Saudi Arabia
Abstract:This paper investigates the bipartite leader-following consensus of second-order multi-agent systems with signed digraph topology. To significantly reduce the communication burden, an event-triggered control algorithm is proposed to solve the bipartite leader-following consensus problem, where a novel event-triggered function is designed. Under some mild assumptions on the network topology and node dynamics, a sufficient condition is derived using Lyapunov stability method and matrix theory to guarantee the bipartite consensus. In particular, it is shown that the continuous communication can be avoided and the Zeno-behavior can be excluded for the designed event-triggered algorithm. Numerical simulations are presented to illustrate the correctness of the theoretical analysis.
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