On the consensus protocol of conspecific agents

Nicole Abaid; Irina Igel; Maurizio Porfiri

doi:10.1016/j.laa.2012.01.030

On the consensus protocol of conspecific agents

Nicole Abaid, Irina Igel, Maurizio Porfiri

Mechanical and Aerospace Engineering

Research output: Contribution to journal › Article

Abstract

We present a class of consensus protocols over groups of agents with stochastically switching, directed, and weighted communication topologies. In this protocol, an agent's traits, that is, the cardinality of its neighbor set and the weight assigned to its neighbors in the updating process, are given by two jointly distributed random variables and the neighbors of an agent are selected with equal probability. We provide closed form results for the asymptotic convergence rate and for the steady state mean square deviation in the presence of additive noise. These results are specialized to consensus protocols based on Erds-Rényi and numerosity-constrained networks.

Original language	English (US)
Pages (from-to)	221-235
Number of pages	15
Journal	Linear Algebra and Its Applications
Volume	437
Issue number	1
DOIs	https://doi.org/10.1016/j.laa.2012.01.030
State	Published - Jul 1 2012

Keywords

Consensus protocol
Convergence rate
Directed network
Random topology
Stochastic stability

ASJC Scopus subject areas

Algebra and Number Theory
Numerical Analysis
Geometry and Topology
Discrete Mathematics and Combinatorics

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abstract = "We present a class of consensus protocols over groups of agents with stochastically switching, directed, and weighted communication topologies. In this protocol, an agent's traits, that is, the cardinality of its neighbor set and the weight assigned to its neighbors in the updating process, are given by two jointly distributed random variables and the neighbors of an agent are selected with equal probability. We provide closed form results for the asymptotic convergence rate and for the steady state mean square deviation in the presence of additive noise. These results are specialized to consensus protocols based on Erds-R{\'e}nyi and numerosity-constrained networks.",

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AU - Igel, Irina

AU - Porfiri, Maurizio

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AB - We present a class of consensus protocols over groups of agents with stochastically switching, directed, and weighted communication topologies. In this protocol, an agent's traits, that is, the cardinality of its neighbor set and the weight assigned to its neighbors in the updating process, are given by two jointly distributed random variables and the neighbors of an agent are selected with equal probability. We provide closed form results for the asymptotic convergence rate and for the steady state mean square deviation in the presence of additive noise. These results are specialized to consensus protocols based on Erds-Rényi and numerosity-constrained networks.

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KW - Convergence rate

KW - Directed network

KW - Random topology

KW - Stochastic stability

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