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We attempt to bridge queuing theory and information theory by considering queue lengths as communication channels conveying information about system parameters. A toy problem is proposed and an information-theoretic lower bound is derived on the queue-length/cost tradeoff which matches (in an order sense) the performance of back-pressure algorithms. The proof is based on the idea of “communication...
In linear function computation, multiple source nodes communicate across a relay network to a single destination whose goal is to recover linear functions of the original source data. When the relay network is a linear deterministic network, a duality relation is established between function computation and broadcast with common messages. Using this relation, a compact sufficient condition is found...
The main difference between centralized and decentralized control is the communication. Controllers in a decentralized system can communicate with each other to achieve their common goal. In this paper, we argue that even linear time-invariant controllers in a decentralized linear system “communicate” via linear network coding to stabilize the plant. To justify this argument, we propose an algorithm...
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