Distributed evaluation and convergence of self-appraisals in social networks

Xudong Chen, Ji Liu, Zhi Xu, Tamer Basar

Research output: Chapter in Book/Report/Conference proceedingConference contribution

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 strongly connected graph. For each ordered pair of adjacent 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 his neighbors, each agent is able to calculate the difference between his level of importance to others and others' level of importance to him. 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 of the dynamical system asymptotically converges to an equilibrium which is exponentially stable.

Original languageEnglish (US)
Title of host publication54rd IEEE Conference on Decision and Control,CDC 2015
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages2895-2900
Number of pages6
ISBN (Electronic)9781479978861
DOIs
StatePublished - Feb 8 2015
Event54th IEEE Conference on Decision and Control, CDC 2015 - Osaka, Japan
Duration: Dec 15 2015Dec 18 2015

Publication series

NameProceedings of the IEEE Conference on Decision and Control
Volume54rd IEEE Conference on Decision and Control,CDC 2015
ISSN (Print)0743-1546

Other

Other54th IEEE Conference on Decision and Control, CDC 2015
CountryJapan
CityOsaka
Period12/15/1512/18/15

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Modeling and Simulation
  • Control and Optimization

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