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Optimal Control Designs for Vector-valued Witsenhausen Counterexample Setups
KTH, School of Electrical Engineering and Computer Science (EECS), Information Science and Engineering.ORCID iD: 0000-0002-0036-9049
2019 (English)In: 2018 56th Annual Allerton Conference on Communication, Control, and Computing, Allerton 2018, Institute of Electrical and Electronics Engineers Inc. , 2019, p. 532-537Conference paper, Published paper (Refereed)
Abstract [en]

In this work, necessary and sufficient conditions for empirical coordination of vector-valued Witsenhausen counter-example 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.

Place, publisher, year, edition, pages
Institute of Electrical and Electronics Engineers Inc. , 2019. p. 532-537
Keywords [en]
Cost functions, Decoding, Signal encoding, Causal coding, Classical information, Empirical coordinations, Encoding and decoding, feasible target distributions, Optimal control design, Optimization domain, Witsenhausen counterexample, Encoding (symbols)
National Category
Electrical Engineering, Electronic Engineering, Information Engineering
Identifiers
URN: urn:nbn:se:kth:diva-252076DOI: 10.1109/ALLERTON.2018.8635949ISI: 000461021200075Scopus ID: 2-s2.0-85062856936OAI: oai:DiVA.org:kth-252076DiVA, id: diva2:1339855
Conference
56th Annual Allerton Conference on Communication, Control, and Computing, Allerton 2018, 2 October 2018 through 5 October 2018
Note

QC 20190731

Available from: 2019-07-31 Created: 2019-07-31 Last updated: 2019-07-31Bibliographically approved

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Oechtering, Tobias J.

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CiteExportLink to record
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Citation style
  • apa
  • ieee
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  • Other style
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Language
  • de-DE
  • en-GB
  • en-US
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  • nn-NO
  • nn-NB
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Output format
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