On leaderless consensus of fractional-order nonlinear multi-agent systems via event-triggered control | Zendy

Fei Wang | Zendy; Yongqing Yang | Zendy

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On leaderless consensus of fractional-order nonlinear multi-agent systems via event-triggered control

Author(s) -

Fei Wang,

Yongqing Yang

Publication year - 2019

Publication title -

nonlinear analysis modelling and control

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.734

H-Index - 32

eISSN - 2335-8963

pISSN - 1392-5113

DOI - 10.15388/na.2019.3.3

Subject(s) - nonlinear system , consensus , lyapunov function , mathematics , control theory (sociology) , zeno's paradoxes , multi agent system , graph , graph theory , order (exchange) , control (management) , function (biology) , computer science , discrete mathematics , physics , artificial intelligence , combinatorics , geometry , finance , quantum mechanics , economics , evolutionary biology , biology

The consensus problem of fractional-order multi-agent systems is investigated by eventtriggered control in this paper. Based on the graph theory and the Lyapunov functional approach, the conditions for guaranteeing the consensus are derived. Then, according to some basic theories of fractional-order differential equation and some properties of Mittag–Leffler function, the Zeno behavior could be excluded. Finally, a simulation example is given to check the effectiveness of the theoretical result.

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