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Finite‐Time Consensus Problem for Second‐Order Multi‐Agent Systems Under Switching Topologies
Author(s) -
Wang Fang,
Chen Xin,
He Yong,
Wu Min
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.1486
Subject(s) - consensus , network topology , multi agent system , protocol (science) , computer science , topology (electrical circuits) , homogeneous , order (exchange) , distributed computing , mathematical optimization , control theory (sociology) , mathematics , computer network , artificial intelligence , control (management) , medicine , alternative medicine , finance , pathology , combinatorics , economics
Abstract This paper investigates the finite‐time consensus problem for multi‐agent systems with second‐order individual dynamics under switching topologies. A distributed continuous‐time protocol is designed to guarantee finite‐time consensus for homogeneous agents without predetermined leaders, i.e. , it ensures agents asymptotically converge to an average consensus within finite time, even if the interaction topology among them is time‐varying but stepwise jointly‐connected. In particular, it introduces a distributed continuous‐time protocol to reach consensus in finite time and reduce the chattering together. Finally, the simulation results are also given to validate the proposed approach.