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Multi‐Consensus of Nonlinearly Networked Multi‐Agent Systems
Author(s) -
Li Juan,
Guan ZhiHong,
Chen Guanrong
Publication year - 2015
Publication title -
asian journal of control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.769
H-Index - 53
eISSN - 1934-6093
pISSN - 1561-8625
DOI - 10.1002/asjc.809
Subject(s) - multi agent system , convergence (economics) , protocol (science) , graph theory , directed graph , computer science , consensus , control theory (sociology) , nonlinear system , lyapunov function , graph , controller (irrigation) , distributed computing , mathematical optimization , mathematics , control (management) , theoretical computer science , artificial intelligence , algorithm , medicine , physics , alternative medicine , pathology , combinatorics , quantum mechanics , agronomy , economics , biology , economic growth
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.