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Witsenhausens_counterexample abstract "Witsenhausen's counterexample, shown in the figure below, is a deceptively simple toy problem in decentralized stochastic control. It was formulated by Hans Witsenhausen in 1968. It is a counterexample to a natural conjecture that one can generalize a key result of centralized linear-quadratic-Gaussian control systems: that affine (linear) control laws are optimal. Witsenhausen showed that there exist nonlinear control laws that outperform all linear laws in a decentralized context. The problem of finding the optimal control law remains unsolved.File:WitsenhausenCounterexample.jpg".
Witsenhausens_counterexample thumbnail WitsenhausenCounterexample.jpg?width=300.
Witsenhausens_counterexample wikiPageID "28487427".
Witsenhausens_counterexample wikiPageLength "8209".
Witsenhausens_counterexample wikiPageOutDegree "29".
Witsenhausens_counterexample wikiPageRevisionID "665894896".
Witsenhausens_counterexample wikiPageWikiLink Artificial_neural_network.
Witsenhausens_counterexample wikiPageWikiLink Bernoulli_distribution.
Witsenhausens_counterexample wikiPageWikiLink Category:Control_theory.
Witsenhausens_counterexample wikiPageWikiLink Category:Stochastic_control.
Witsenhausens_counterexample wikiPageWikiLink Christos_Papadimitriou.
Witsenhausens_counterexample wikiPageWikiLink Conjecture.
Witsenhausens_counterexample wikiPageWikiLink Control_theory.
Witsenhausens_counterexample wikiPageWikiLink Counterexample.
Witsenhausens_counterexample wikiPageWikiLink Discretization.
Witsenhausens_counterexample wikiPageWikiLink Distributed_control_system.
Witsenhausens_counterexample wikiPageWikiLink Generalization.
Witsenhausens_counterexample wikiPageWikiLink Hans_Witsenhausen.
Witsenhausens_counterexample wikiPageWikiLink Independence_(probability_theory).
Witsenhausens_counterexample wikiPageWikiLink Information_theory.
Witsenhausens_counterexample wikiPageWikiLink Jeff_S._Shamma.
Witsenhausens_counterexample wikiPageWikiLink Linear-quadratic-Gaussian_control.
Witsenhausens_counterexample wikiPageWikiLink Loss_function.
Witsenhausens_counterexample wikiPageWikiLink NP-completeness.
Witsenhausens_counterexample wikiPageWikiLink Normal_distribution.
Witsenhausens_counterexample wikiPageWikiLink Propagation_delay.
Witsenhausens_counterexample wikiPageWikiLink Stochastic_control.
Witsenhausens_counterexample wikiPageWikiLink Symmetric_probability_distribution.
Witsenhausens_counterexample wikiPageWikiLink Tamer_Başar.
Witsenhausens_counterexample wikiPageWikiLink Theoretical_computer_science.
Witsenhausens_counterexample wikiPageWikiLink Toy_problem.
Witsenhausens_counterexample wikiPageWikiLink Transmission_delay.
Witsenhausens_counterexample wikiPageWikiLink Yu-Chi_Ho.
Witsenhausens_counterexample wikiPageWikiLink File:WitsenhausenCounterexample.jpg.
Witsenhausens_counterexample wikiPageWikiLinkText "Witsenhausen's counterexample".
Witsenhausens_counterexample wikiPageUsesTemplate Template:Reflist.
Witsenhausens_counterexample wikiPageUsesTemplate Template:Use_dmy_dates.
Witsenhausens_counterexample subject Category:Control_theory.
Witsenhausens_counterexample subject Category:Stochastic_control.
Witsenhausens_counterexample type Process.
Witsenhausens_counterexample comment "Witsenhausen's counterexample, shown in the figure below, is a deceptively simple toy problem in decentralized stochastic control. It was formulated by Hans Witsenhausen in 1968. It is a counterexample to a natural conjecture that one can generalize a key result of centralized linear-quadratic-Gaussian control systems: that affine (linear) control laws are optimal. Witsenhausen showed that there exist nonlinear control laws that outperform all linear laws in a decentralized context.".
Witsenhausens_counterexample label "Witsenhausen's counterexample".
Witsenhausens_counterexample sameAs Q8028527.
Witsenhausens_counterexample sameAs m.0crd27s.
Witsenhausens_counterexample sameAs Q8028527.
Witsenhausens_counterexample wasDerivedFrom Witsenhausens_counterexample?oldid=665894896.
Witsenhausens_counterexample depiction WitsenhausenCounterexample.jpg.
Witsenhausens_counterexample isPrimaryTopicOf Witsenhausens_counterexample.