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Cited by 386

The DOI matches its Crossref record; 3 of the 3 references it cites were found in a registry or an index.

Computation and transmission requirements for a decentralized linear-quadratic-Gaussian control problem

Speyer, J.·1979·IEEE Transactions on Automatic Control

Abstract

A decentralized control problem involvingKnodes is formulated At each node are sensors and controls. The object is to share the information of each sensor, processed with a local Kalman estimator, with all the other nodes so that the controllers can be computed using the best estimate of the state of the system given the information from all the sensors. The controls are determined so that the expected value of a quadratic performance index is minimized. The problem is formulated as a decentralized control problem without a central supervisor so that the system performance will degrade gracefully under structural perturbations. Therefore, the transmission of data is from each node to every other node; there are\sum\liminf{i-1}\limsup{k}(i-1)links connecting all nodes. It is shown that if the dimension of the controls at each nodelis less than both the dimension of the data at nodemand the dimension of the state, then a data vector with dimension of the control atlcan be transmitted frommtol. compression of data transmission is done at the expense of propagating an additionaal data dependent vector at each node beyond the usual Kalman filter equations.

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Metadata

Authors
Speyer, J.
Venue
IEEE Transactions on Automatic Control
Published
1979-04
Volume
24
Issue
2
Pages
266-269
ISSN
0018-9286 (ISSN-L)
OpenAlex
W2164280966
Cited by
386
References
3
FWCI
8.04
Type
journal article
Language
en
Open access
closed

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CoChat. (2026). Citation check: Computation and transmission requirements for a decentralized linear-quadratic-Gaussian control problem. https://app.cochat.ai/papers/10.1109/tac.1979.1101973
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Speyer, J. (1979). Computation and transmission requirements for a decentralized linear-quadratic-Gaussian control problem. IEEE Transactions on Automatic Control. https://doi.org/10.1109/tac.1979.1101973

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