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Communication Dans Un Congrès Année : 2018

Optimal Control Designs for Vector-valued Witsenhausen Counterexample Setups

Résumé

In this work, necessary and sufficient conditions for empirical coordination of vector-valued Witsenhausen counterexample two terminal setups with non-classical information structure are derived. Vector-valued processing allows to involve coding in the design of the control strategies. Optimal characterizations are obtained for the non-causal encoding and causal decoding case as well as causal encoding and non-causal decoding case. Necessary and sufficient conditions are provided for the case with both non-causal encoding and decoding. The feasible set of target distributions can serve as optimization domain for characterizing the optimal average cost, in particular using Witsenhausen's cost function.
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Dates et versions

hal-02278220 , version 1 (04-09-2019)

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  • HAL Id : hal-02278220 , version 1

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Mael Le Treust, Tobias Oechtering. Optimal Control Designs for Vector-valued Witsenhausen Counterexample Setups. Allerton Conference 2019, Oct 2018, Monticello, Illinois, United States. ⟨hal-02278220⟩
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