Journal
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS
Volume 356, Issue 12, Pages 6591-6609Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.jfranklin.2019.06.034
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Funding
- National Natural Science Foundation of China [61573201, 61773155]
- Postgraduate Research & Practice Innovation Program of Jiangsu Province [KYCX18_2421]
- Applied Basic Research-Industrial Innovation Project of Nantong City [GY12017025]
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This paper investigates the bipartite leader-following consensus of second-order multi-agent systems with signed digraph topology. To significantly reduce the communication burden, an event-triggered control algorithm is proposed to solve the bipartite leader-following consensus problem, where a novel event-triggered function is designed. Under some mild assumptions on the network topology and node dynamics, a sufficient condition is derived using Lyapunov stability method and matrix theory to guarantee the bipartite consensus. In particular, it is shown that the continuous communication can be avoided and the Zeno-behavior can be excluded for the designed event-triggered algorithm. Numerical simulations are presented to illustrate the correctness of the theoretical analysis. (C) 2019 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.
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