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

Content Provider	IEEE Xplore Digital Library
Author	Xu Ma Elia, N.
Copyright Year	2012
Description	Author affiliation: Dept. of Electr. & Comput. Eng., Iowa State Univ., Ames, IA, USA (Xu Ma; Elia, N.)
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.
Sponsorship	IEEE Control Syst. Soc.
Starting Page	1591
Ending Page	1596
File Size	1392441
Page Count	6
File Format	PDF
ISBN	9781457710957
ISSN	07431619
e-ISBN	9781457710964
e-ISBN	9781467321020
DOI	10.1109/ACC.2012.6315205
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2012-06-27
Publisher Place	Canada
Access Restriction	Subscribed
Rights Holder	American Automatic Control Council(AACC)
Subject Keyword	Laplace equations Stability criteria Eigenvalues and eigenfunctions Stochastic processes Lattices Equations
Content Type	Text
Resource Type	Article
Subject	Electrical and Electronic Engineering

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