On existence of a quadratic comparison function for random weighted averaging dynamics and its implications

Behrouz Touri, Angelia Nedić

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

17 Scopus citations

Abstract

In this paper we study the stability and limiting behavior of discrete-time deterministic and random weighted averaging dynamics. We show that any such dynamics admits infinitely many comparison functions including a quadratic one. Using a quadratic comparison function, we establish the stability and characterize the set of equilibrium points of a broad class of random and deterministic averaging dynamics. This class includes a set of balanced chains, which itself contains many of the previously studied chains. Finally, we provide some implications of the developed results for products of independent random stochastic matrices.

Original languageEnglish (US)
Title of host publication2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011
Pages3806-3811
Number of pages6
DOIs
StatePublished - Dec 1 2011
Externally publishedYes
Event2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011 - Orlando, FL, United States
Duration: Dec 12 2011Dec 15 2011

Publication series

NameProceedings of the IEEE Conference on Decision and Control
ISSN (Print)0191-2216

Other

Other2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011
CountryUnited States
CityOrlando, FL
Period12/12/1112/15/11

ASJC Scopus subject areas

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

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  • Cite this

    Touri, B., & Nedić, A. (2011). On existence of a quadratic comparison function for random weighted averaging dynamics and its implications. In 2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011 (pp. 3806-3811). [6160502] (Proceedings of the IEEE Conference on Decision and Control). https://doi.org/10.1109/CDC.2011.6160502