Srinivasan, AR orcid.org/0000-0001-9280-7837 and Chakraborty, S (2014) Effect of network topology on the controllability of voter model dynamics using biased nodes. In: 2014 American Control Conference. 2014 American Control Conference - ACC 2014, 04-06 Jun 2014, Portland, Oregon, USA. IEEE , pp. 2096-2101. ISBN 978-1-4799-3272-6
Abstract
This paper examines the effects of biased nodes on the voter model dynamics where each node is characterized by binary states s i = ±1. For a fully connected graph, the master equation is shown to have the form of the Fokker-Planck equation, and necessary and sufficient conditions for the existence of a polynomial solution are investigated. Numerical simulations and analytical results are studied for a complete graph and the Erdös-Rényi network to reveal several interesting characteristics of the dynamical system. One of the key findings is that the equilibrium probability density of the network can be controlled by selecting the size of the influence groups. Population size, relative size of the biased groups, initial conditions and network parameters such as connection probabilities are discussed and their effects on the equilibrium probability density and time to convergence are investigated and reported.
Metadata
Item Type: | Proceedings Paper |
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Authors/Creators: |
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Keywords: | Behavioral systems; Control of networks; Networked control systems |
Dates: |
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Institution: | The University of Leeds |
Academic Units: | The University of Leeds > Faculty of Environment (Leeds) > Institute for Transport Studies (Leeds) > ITS: Safety and Technology (Leeds) |
Depositing User: | Symplectic Publications |
Date Deposited: | 21 Apr 2021 13:31 |
Last Modified: | 21 Apr 2021 13:31 |
Status: | Published |
Publisher: | IEEE |
Identification Number: | 10.1109/acc.2014.6859429 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:162142 |