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The authors develop an optimal controller synthesis algorithm for decentralized control problems where control actions are transmitted through TCP-like erasure channels. They consider a simple two-player interconnected linear system and Bernoulli distributed erasure channels. They recast the problem to a centralized Partially Observed Markov Decision Process (POMDP) under the fictitious player framework, in which they construct an optimal controller using belief states and value function recursions. Finally, they provide explicit state space formulae for the optimal decentralized controller.
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