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Consensus of Fractional Multi‐Agent Systems Using Distributed Adaptive Protocols
Author(s) -
Ren Guojian,
Yu Yongguang
Publication year - 2017
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.1589
Subject(s) - nonlinear system , multi agent system , computer science , consensus , graph , undirected graph , extension (predicate logic) , graph theory , mathematical optimization , control theory (sociology) , mathematics , theoretical computer science , artificial intelligence , physics , control (management) , quantum mechanics , combinatorics , programming language
This paper is concerned with the adaptive consensus problem of fractional multi‐agent systems for both the linear and nonlinear cases. Distributed adaptive protocols are designed, respectively, for linear and nonlinear fractional multi‐agent systems, under which consensus is achieved for any undirected connected communication graph without using any global information. Furthermore, the leader‐following problem is studied as an extension. Finally, two numerical examples are given to demonstrate the effectiveness of the obtained results.