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Finite‐Time Scaled Consensus in Discrete‐Time Networks of Agents
Author(s) -
Shang Yilun
Publication year - 2018
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.1727
Subject(s) - consensus , topology (electrical circuits) , discrete time and continuous time , state (computer science) , computer science , consensus algorithm , network topology , control theory (sociology) , mathematics , mathematical optimization , algorithm , multi agent system , control (management) , computer network , artificial intelligence , combinatorics , statistics
This brief paper deals with finite‐time scaled consensus to assigned portions using linear iterations. If the network topology is modeled by a connected bidirectional network, we show that scaled consensus can always be reached in a finite time using state‐transition matrices consistent with the network structure. The final scaled consensus states are also identified. A numerical example is given to illustrate the theoretical result.