{"id":{"repo_id":"mit","oai_identifier":"oai:dspace.mit.edu:1721.1/99843"},"canonical_url":"https://search.dev.ndltd.org/etd/mit/oai:dspace.mit.edu:1721.1/99843","repository":{"repo_id":"mit","name":"MIT","base_url":"https://dspace.mit.edu/oai/request"},"display":{"title":"A numerical study of Witsenhausen's Counterexample","abstract":"In this thesis, we consider Witsenhausen's Counterexample, a two-stage control system in decentralized stochastic control. In particular, we investigate a specific homogenous integral equation that arises from the necessary first-order condition for optimality of the Stage I controller in the system. Using finite element (FE) analysis, we develop a numerical framework to study this integral equation and understand the structure of optimal controllers. 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We then solve the integral equation as a mathematical optimization and use our FE model to numerically compute a nonlinear controller that satisfies the necessary condition approximately at a set of quadrature points..","abstract_has_math":false,"creators":["Romvary, Jordan (Jordan Joseph)"],"institution":"Massachusetts Institute of Technology","degree_name":null,"degree_level":null,"degree_discipline":null,"degree_department":"Massachusetts Institute of Technology. Department of Electrical Engineering and Computer Science.","school":null,"contributors":[],"advisors":["Pablo Parrilo."],"committee_chairs":[],"committee_members":[],"year":2015,"date_issued":"2015","date_published":"2015","updated_at":"2026-07-22T22:21:57Z","subjects":["Electrical Engineering and Computer Science."],"languages":["eng"],"rights":["M.I.T. theses are protected by copyright. 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