Approximate Consensus in the Dynamic Stochastic Network with Incomplete Information and Measurement Delays

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Approximate Consensus in the Dynamic Stochastic Network with Incomplete Information and Measurement Delays. / Amelina, N. O.; Fradkov, A. L.

In: Automation and Remote Control, Vol. 73, No. 11, 2012, p. 1765–1783.

Research output: Contribution to journal › Article › peer-review

BibTeX

@article{6ae1e97d376a48bdb26f5f4988ab1e70,

title = "Approximate Consensus in the Dynamic Stochastic Network with Incomplete Information and Measurement Delays",

abstract = "Consideration was given to the problem of achieving an approximate consensus in the decentralized stochastic dynamic network under incomplete information about the current states of the nodes, measurement delay, and variable structure of links. Solution was based on the protocol of local voting with nonvanishing steps. It was proposed to analyze dynamics of the closed network with the use of the method of averaged models which was extended to the systems with measurement delays. This method enables one to establish good analytical estimates of the permissible length of the step providing the desired accuracy of consensus and appreciably reduce the computational burden of simulation. The results obtained were applied to the analysis of the dynamics of the system of balancing the computer network loading.",

author = "Amelina, {N. O.} and Fradkov, {A. L.}",

year = "2012",

doi = "10.1134/S000511791211001X",

language = "English",

volume = "73",

pages = "1765–1783.",

journal = "Automation and Remote Control",

issn = "0005-1179",

publisher = "МАИК {"}Наука/Интерпериодика{"}",

number = "11",

}

RIS

TY - JOUR

T1 - Approximate Consensus in the Dynamic Stochastic Network with Incomplete Information and Measurement Delays

AU - Amelina, N. O.

AU - Fradkov, A. L.

PY - 2012

Y1 - 2012

N2 - Consideration was given to the problem of achieving an approximate consensus in the decentralized stochastic dynamic network under incomplete information about the current states of the nodes, measurement delay, and variable structure of links. Solution was based on the protocol of local voting with nonvanishing steps. It was proposed to analyze dynamics of the closed network with the use of the method of averaged models which was extended to the systems with measurement delays. This method enables one to establish good analytical estimates of the permissible length of the step providing the desired accuracy of consensus and appreciably reduce the computational burden of simulation. The results obtained were applied to the analysis of the dynamics of the system of balancing the computer network loading.

AB - Consideration was given to the problem of achieving an approximate consensus in the decentralized stochastic dynamic network under incomplete information about the current states of the nodes, measurement delay, and variable structure of links. Solution was based on the protocol of local voting with nonvanishing steps. It was proposed to analyze dynamics of the closed network with the use of the method of averaged models which was extended to the systems with measurement delays. This method enables one to establish good analytical estimates of the permissible length of the step providing the desired accuracy of consensus and appreciably reduce the computational burden of simulation. The results obtained were applied to the analysis of the dynamics of the system of balancing the computer network loading.

U2 - 10.1134/S000511791211001X

DO - 10.1134/S000511791211001X

M3 - Article

VL - 73

SP - 1765–1783.

JO - Automation and Remote Control

JF - Automation and Remote Control

SN - 0005-1179

IS - 11

ER -

ID: 5412625