Emergence of power laws in multi agent systems over packet drop networks

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

Abstract

In this paper we study multiple systems connected over an unreliable commu-nication network. The links in the networks are modeled as drop-out channels. In particular, we consider the closed loop Mean Square stability of multi agent systems formations, and use our analysis result to evaluate the fragility of the net-worked system to packet losses or link drop-outs. We present a case where the packet drops can lead to loss of Mean Square stability. Systems that are not Mean Square stable have heavy tail distributions of their states. Simulations show the power law nature of such distributions. While having identical agents may lead to a simplified nominal stability analysis and to scalable solutions, it does not seem to reduce the complexity of the Mean Square stability analysis.

Original languageEnglish (US)
Title of host publication43rd Annual Allerton Conference on Communication, Control and Computing 2005
PublisherUniversity of Illinois at Urbana-Champaign, Coordinated Science Laboratory and Department of Computer and Electrical Engineering
Pages1909-1918
Number of pages10
ISBN (Electronic)9781604234916
StatePublished - Jan 1 2005
Externally publishedYes
Event43rd Annual Allerton Conference on Communication, Control and Computing 2005 - Monticello, United States
Duration: Sep 28 2005Sep 30 2005

Publication series

Name43rd Annual Allerton Conference on Communication, Control and Computing 2005
Volume4

Other

Other43rd Annual Allerton Conference on Communication, Control and Computing 2005
CountryUnited States
CityMonticello
Period9/28/059/30/05

Keywords

  • Formation Control Over Packet Drop Networks
  • Mean-Square Stability Robust-Ness
  • Power Laws

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  • Cite this

    Elia, N. (2005). Emergence of power laws in multi agent systems over packet drop networks. In 43rd Annual Allerton Conference on Communication, Control and Computing 2005 (pp. 1909-1918). (43rd Annual Allerton Conference on Communication, Control and Computing 2005; Vol. 4). University of Illinois at Urbana-Champaign, Coordinated Science Laboratory and Department of Computer and Electrical Engineering.