An Leader-Following consensus of multi-agent system via centrality analysis
C.W. Lee, Yong-Gwon Lee, Yongman Kim, S.H. Lee, Oh‐Min Kwon · 2024
This paper addresses the design of a leader-following controller for multi-agent systems (MAS) with time-delayed inputs. It proposes a method to enhance leader-following synchronization performance by combining the network’s centrality analysis, which is introduced to solve the consensus problem in the humanities and social sciences. Among the various centralized methods, the degree, Katz’s, and closeness centrality analyses are introduced to combine with the Lyapunov stability technique. Furthermore, mathematical techniques such as Auxiliary function-based integral inequality and the reciprocally convex approach are applied to derive the maximum time-delay upper bound through sufficient linear matrix inequalities conditions. Finally, the comparative results derived by different centrality analyses are presented, providing a conclusion on the effect of the leader-following synchronization of MAS under the time-delayed input constraint.