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Leader‐Following Consensus of Multi‐Agent System with Diffusion
Author(s) -
Guo Ling,
Nian Xiaohong,
Pan Huan
Publication year - 2014
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.626
Subject(s) - protocol (science) , algebraic graph theory , multi agent system , embedding , diffusion , mathematics , state (computer science) , graph , consensus , control theory (sociology) , algebraic number , graph theory , control (management) , mathematical optimization , computer science , discrete mathematics , mathematical analysis , algorithm , physics , artificial intelligence , combinatorics , medicine , alternative medicine , pathology , thermodynamics
This paper is concerned with the leader‐following consensus problem for multi‐agent systems consisting of one stationary leader and multiple cooperative followers, where the controlling effect of each follower depends on its own state. It is noted that the influence of diffusion among followers is taken into account and the system is modeled by reaction‐diffusion equations. With the assumption of the followers' initial states, a linear control protocol is designed. Based on algebraic graph theory, the method of energy estimates, and S obolev embedding theorem, the sufficient conditions guaranteeing the leader‐following consensus under the proposed control protocol are provided. Numerical examples illustrate the effectiveness of the theoretical results.