Mean square stability analysis for uniformly circulant networked consensus with stochastic link failures

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Abstract

In this paper we consider a distributed consensus problem over a d-dimensional network whose each dimension is connected in the same circulant pattern. We call this network as a d-dimensional uniformly circulant network (UCN). All the communication links in a UCN are modeled as erasure channels and our objective is to analyze the mean square (MS) stability of this system. Generally speaking, the complexity of checking the MS stability does not scale nicely with the system's size and dimension. Previous work has shown that for systems with spatially invariant structures, their MS stability indices can be calculated in a closed form. In this paper, we further exploit the structures of UCN-based distributed consensus systems and obtain a more efficient result for their MS stability analysis. Moreover, further discussions gives us an insight into how system parameters will affect the MS stability. Simulations are provided to illustrate our results.

Original languageEnglish (US)
Title of host publication2012 American Control Conference, ACC 2012
Pages1591-1596
Number of pages6
StatePublished - Nov 26 2012
Externally publishedYes
Event2012 American Control Conference, ACC 2012 - Montreal, QC, Canada
Duration: Jun 27 2012Jun 29 2012

Publication series

NameProceedings of the American Control Conference
ISSN (Print)0743-1619

Other

Other2012 American Control Conference, ACC 2012
CountryCanada
CityMontreal, QC
Period6/27/126/29/12

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    Ma, X., & Elia, N. (2012). Mean square stability analysis for uniformly circulant networked consensus with stochastic link failures. In 2012 American Control Conference, ACC 2012 (pp. 1591-1596). [6315205] (Proceedings of the American Control Conference).