Open AccessComments on ‘Finite‐time consensus of multi‐agent system via non‐linear event‐triggered control strategy’
Author(s) -
Yu Shuanghe,
Wang Yilin,
Jin Lina
Publication year - 2017
Publication title -
iet control theory and applications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.059
H-Index - 108
eISSN - 1751-8652
pISSN - 1751-8644
DOI - 10.1049/iet-cta.2016.0955
Subject(s) - zeno's paradoxes , lemma (botany) , bounded function , protocol (science) , consensus , control theory (sociology) , computer science , multi agent system , mathematics , control (management) , artificial intelligence , mathematical analysis , medicine , ecology , geometry , poaceae , alternative medicine , pathology , biology
An event‐triggered protocol is recently developed to achieve finite‐time consensus in the commented paper. Although the Zeno behaviour is excluded by the lower‐bounded inter‐event time in Theorem 2, the misuse of Lemma 1 leads to the doubtful result in the proof. Through theoretical analysis and numerical simulation, this letter reveals that the Zeno behaviour is unavoidable under the protocol when approaching consensus in finite time. Furthermore, an alternative trigger function is presented to achieve practical consensus.