Open AccessThe cluster-delay consensus of nonlinear multi-agent systems via impulsive control
Author(s) -
Zhang Zhen-hua,
Shiguo Peng,
Tao Chen
Publication year - 2020
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1449/1/012099
Subject(s) - correctness , control theory (sociology) , impulse (physics) , nonlinear system , multi agent system , computer science , adaptability , state (computer science) , lyapunov function , consensus , control (management) , graph theory , cluster (spacecraft) , mathematics , algorithm , artificial intelligence , physics , quantum mechanics , ecology , combinatorics , biology , programming language
Based on the impulsive control strategy, the cluster-delay consensus of nonlinear multi-agent systems is studied in this paper for the first time. Different from the traditional continuous control method, impulsive control only acts on the systems at discrete impulsive moments, so it has the advantages of low control costs, fast response speed and strong adaptability. In addition, by the impulsive protocol, the state information of all neighboring agents is used to update their own state at impulse instants. Based on the graph theory and Lyapunov stability theory, some sufficient consensus criteria are given. Finally, the correctness of theoretical results is illustrated by numerical simulation.