TY - GEN
T1 - Mean square stability analysis for uniformly circulant networked consensus with stochastic link failures
AU - Ma, Xu
AU - Elia, Nicola
PY - 2012/11/26
Y1 - 2012/11/26
N2 - 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.
AB - 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.
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M3 - Conference contribution
AN - SCOPUS:84869421256
SN - 9781457710957
T3 - Proceedings of the American Control Conference
SP - 1591
EP - 1596
BT - 2012 American Control Conference, ACC 2012
T2 - 2012 American Control Conference, ACC 2012
Y2 - 27 June 2012 through 29 June 2012
ER -