Emergence of power laws in networked control systems

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

12 Scopus citations

Abstract

In this paper we study multiple systems connected over an unreliable communication network. The links in the networks are modeled as drop-out channels. We consider the closed loop Mean Square stability of multi agent systems formations, and use our analysis result to evaluate the fragility of the networked 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. We show that fading networks, which are spatially invariant in the mean, do not suffer from this limitation and allow for the maximal tolerable uncertainty to be distributed arbitrarily among the links.

Original languageEnglish (US)
Title of host publicationProceedings of the 45th IEEE Conference on Decision and Control 2006, CDC
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages490-495
Number of pages6
ISBN (Print)1424401712, 9781424401710
DOIs
StatePublished - Jan 1 2006
Externally publishedYes
Event45th IEEE Conference on Decision and Control 2006, CDC - San Diego, CA, United States
Duration: Dec 13 2006Dec 15 2006

Publication series

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

Other

Other45th IEEE Conference on Decision and Control 2006, CDC
CountryUnited States
CitySan Diego, CA
Period12/13/0612/15/06

Keywords

  • Drop networks
  • Formation control over packet
  • Mean-square stability robustness
  • Power laws spatially invariant systems

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  • Cite this

    Elia, N. (2006). Emergence of power laws in networked control systems. In Proceedings of the 45th IEEE Conference on Decision and Control 2006, CDC (pp. 490-495). [4177997] (Proceedings of the IEEE Conference on Decision and Control). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/cdc.2006.377020