Mean square performance analysis for torus-networked distributed consensus under stochastic disturbances

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3 Scopus citations

Abstract

In this paper we mainly address the mean square performance problem for torus-networked distributed consensus under stochastic disturbances. Specifically, we answer the question of how a torus-networked distributed consensus system will behave when all communication links are unreliable and each agent is subject to the perturbation of additive white noise. We derive a necessary and sufficient condition to characterize the mean square performance. Due to the spatially invariant structure of torus lattices, such a condition can be computed in a closed form. Computation results show that the mean square performance depends on the network dimension. Therefore, it suggests a natural trade-off between mean square stability and performance for such systems.

Original languageEnglish (US)
Title of host publication2013 IEEE 52nd Annual Conference on Decision and Control, CDC 2013
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages7241-7246
Number of pages6
ISBN (Print)9781467357173
DOIs
StatePublished - Jan 1 2013
Externally publishedYes
Event52nd IEEE Conference on Decision and Control, CDC 2013 - Florence, Italy
Duration: Dec 10 2013Dec 13 2013

Publication series

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

Other

Other52nd IEEE Conference on Decision and Control, CDC 2013
CountryItaly
CityFlorence
Period12/10/1312/13/13

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