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Fixed-time bipartite consensus of nonlinear multi-agent systems under directed signed graphs with disturbances
Affiliation:1. Research Center for Complex Networks & Swarm Intelligence, School of Computer Science & Technology, Jiangsu Normal University, Xuzhou 221116, China;2. School of Mathematics, Southeast University, Nanjing 210096, China;3. Yonsei Frontier Lab, Yonsei University, Seoul 03722, South Korea;1. School of Electrical Engineering, University of Jinan, Jinan 250022;2. College of Automation Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing 210016;3. Shool of Control Science and Engineering, Shandong University, Jinan 250061;1. Zhejiang University of Technology, Zhengzhou, China;2. Pontifical Catholic University of Rio de Janeiro (PUC-Rio), Brazil;3. Communications Group, Department of Electronic Engineering, University of York, United Kingdom;1. School of Mathematics and Statistics, Beijing Institute of Technology, Beijing 100081, China;2. School of Automation, Beijing Institute of Technology, Beijing 100081, China;3. School of Mechatronical Engineering, Beijing Institute of Technology, Beijing 100081, China;1. Department of Electrical Engineering, Ferdowsi University of Mashhad, Mashhad 91775-1111, Iran;2. Department of Electrical and Computer Engineering, Isfahan University of Technology, Isfahan 84156-83111, Iran;1. Department of Mechanical Engineering, The University of Hong Kong, Pokfulam Road, Hong Kong;2. College of Mechatronics and Control Engineering, Shenzhen University, Shenzhen 518060, China
Abstract:This paper considers the fixed-time bipartite consensus of nonlinear multi-agent systems (MASs) subjected to external disturbances. Under the directed signed networks, several sufficient conditions are proposed to guarantee the fixed-time bipartite consensus of MASs with or without leaders, respectively. Some discontinuous control protocols are developed to realize fixed-time tracking bipartite consensus of MASs with a leader. Moreover, the fixed-time leaderless bipartite consensus under directed signed graph are discussed as well. Two numerical examples are given to verify the effectiveness of the theoretical results.
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