Distributed Evaluation and Convergence of Self-Appraisals in Social Networks

Xudong Chen, Ji Liu, Mohamed Ali Belabbas, Zhi Xu, Tamer Basar

Research output: Contribution to journalArticlepeer-review

Abstract

We consider in this paper a networked system of opinion dynamics in continuous time, where the agents are able to evaluate their self-Appraisals in a distributed way. In the model we formulate, the underlying network topology is described by a rooted digraph. For each ordered pair of agents (i,j), we assign a function of self-Appraisal to agent i, which measures the level of importance of agent i to agent j. Thus, by communicating only with her neighbors, each agent is able to calculate the difference between her level of importance to others and others' level of importance to her. The dynamical system of self-Appraisals is then designed to drive these differences to zero. We show that for almost all initial conditions, the trajectory generated by this dynamical system asymptotically converges to an equilibrium point which is exponentially stable.

Original languageEnglish (US)
Article number7452565
Pages (from-to)291-304
Number of pages14
JournalIEEE Transactions on Automatic Control
Volume62
Issue number1
DOIs
StatePublished - Jan 2017

Keywords

  • DeGroot-Friedkin model
  • global convergence
  • networked systems

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Computer Science Applications
  • Electrical and Electronic Engineering

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