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

Xu Ma; Nicola Elia

doi:10.1109/CDC.2013.6761038

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

Xu Ma, Nicola Elia

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

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 language	English (US)
Title of host publication	2013 IEEE 52nd Annual Conference on Decision and Control, CDC 2013
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	7241-7246
Number of pages	6
ISBN (Print)	9781467357173
DOIs	https://doi.org/10.1109/CDC.2013.6761038
State	Published - 2013
Externally published	Yes
Event	52nd IEEE Conference on Decision and Control, CDC 2013 - Florence, Italy Duration: Dec 10 2013 → Dec 13 2013

Publication series

Name	Proceedings of the IEEE Conference on Decision and Control
ISSN (Print)	0743-1546
ISSN (Electronic)	2576-2370

Other

Other	52nd IEEE Conference on Decision and Control, CDC 2013
Country/Territory	Italy
City	Florence
Period	12/10/13 → 12/13/13

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10.1109/CDC.2013.6761038

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Ma, X., & Elia, N. (2013). Mean square performance analysis for torus-networked distributed consensus under stochastic disturbances. In 2013 IEEE 52nd Annual Conference on Decision and Control, CDC 2013 (pp. 7241-7246). Article 6761038 (Proceedings of the IEEE Conference on Decision and Control). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/CDC.2013.6761038

Mean square performance analysis for torus-networked distributed consensus under stochastic disturbances. / Ma, Xu; Elia, Nicola.
2013 IEEE 52nd Annual Conference on Decision and Control, CDC 2013. Institute of Electrical and Electronics Engineers Inc., 2013. p. 7241-7246 6761038 (Proceedings of the IEEE Conference on Decision and Control).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Ma, X & Elia, N 2013, Mean square performance analysis for torus-networked distributed consensus under stochastic disturbances. in 2013 IEEE 52nd Annual Conference on Decision and Control, CDC 2013., 6761038, Proceedings of the IEEE Conference on Decision and Control, Institute of Electrical and Electronics Engineers Inc., pp. 7241-7246, 52nd IEEE Conference on Decision and Control, CDC 2013, Florence, Italy, 12/10/13. https://doi.org/10.1109/CDC.2013.6761038

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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.",

author = "Xu Ma and Nicola Elia",

year = "2013",

doi = "10.1109/CDC.2013.6761038",

language = "English (US)",

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AB - 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.

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BT - 2013 IEEE 52nd Annual Conference on Decision and Control, CDC 2013

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T2 - 52nd IEEE Conference on Decision and Control, CDC 2013

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ER -

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

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