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A Generalized Discrete-Time Altafini Model

Wang, Lili; Liu, Ji; Morse, A Stephen; Anderson, Brian; Fullmer, D.


A discrete-time modulus consensus model is considered in which the interactions between the members of a networked family of n agents is described by a time-dependent gain graph whose vertices correspond to agents and whose arcs are assigned complex numbers from a prescribed cyclic group. Limiting behavior of the model's state is studied using a graphical approach. It is shown that a certain type of clustering of agents' 'opinions' or states will be reached exponentially fast for almost all...[Show more]

CollectionsANU Research Publications
Date published: 2018
Type: Conference paper
Source: 2018 European Control Conference, ECC 2018
DOI: 10.23919/ECC.2018.8550192


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