By treating the control plant as a communication channel and using joint source-channel coding ideas, the leader implicitly conveys the target state to the follower whose estimation error decreases monotonically to zero, achieving coordination with control cost close to the explicit-communication 2.
Approximately optimal solutions to the finite-dimensional witsenhausen counterexample,
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The Control Plant as A Communication Channel: Implicit Communication for Decentralized LQG Control
By treating the control plant as a communication channel and using joint source-channel coding ideas, the leader implicitly conveys the target state to the follower whose estimation error decreases monotonically to zero, achieving coordination with control cost close to the explicit-communication 2.