Multi‐Consensus of Nonlinearly Networked Multi‐Agent Systems

Juan Li, Zhi‐Hong Guan, Guanrong Chen · Asian Journal of Control · 2013

Abstract In this paper, a multi‐consensus problem for networked multi‐agent systems in a weighted and directed graph with a nonlinear protocol is investigated. By using convergence theory, matrix theory and the method of Lyapunov functions, a sufficient condition for the networked multi‐agent systems to achieve multi‐consensus is derived. And the agreement of each group is studied. A feedback controller for the networked multi‐agent systems is then designed to drive the system to achieve multi‐consensus. Numerical simulations illustrate the effectiveness of the theoretical results.

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