4 problems
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Witsenhausen's separability conjecture for N-step delayed sharing
Consider an -step delayed information-sharing pattern with , in which each controller has access to the common information subject to an -step delay. Policies are ca…
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The linearity conjecture for Witsenhausen's counterexample
Witsenhausen's counterexample is a decentralized stochastic control problem in which the controller mappings are based on different observations and the objective is to minimize th…
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Capacity-stabilizability equivalence for decentralized systems
A decentralized linear system has state dynamics and local observations of the form … with … A decentralized system is stabilizable when its controllers can stabilize the plant, an…
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Bounded-SNR conjecture for slow dynamics in decentralized scalar LQG control
Bounded-SNR conjecture. The SNR is bounded, and implicit communication may not be crucial for constant-ratio optimality.