The DOI matches its Crossref record.
A Counterexample in Stochastic Optimum Control
Abstract
It is sometimes conjectured that nothing is to be gained by using non-linear controllers when the objective is to minimize the expectation of a quadratic criterion for a linear system subject to Gaussian noise and with unconstrained control variables. In fact, this statement has only been established for the case where all control variables are generated by a single station which has perfect memory. Without this qualification the conjecture is false.
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Cited by
Kernel Mean Embedding of Distributions: A Review and Beyond
Muandet, K., Fukumizu, K., Sriperumbudur, B., & Schölkopf, B. (2017) · Foundations and Trends® in Machine Learning · doi:10.1561/2200000060 · Cited by 409
Decentralized Stochastic Control with Finite-Dimensional Memories: A Memory Limitation Approach
Tottori, T., & Kobayashi, T. J. (2023) · Entropy · doi:10.3390/e25050791 · Cited by 7
Metadata
- Authors
- Witsenhausen, H. S.
- Venue
- SIAM Journal on Control
- Published
- 1968-02
- Volume
- 6
- Issue
- 1
- Pages
- 131-147
- ISSN
- 0036-1402 (ISSN-L)
- OpenAlex
- W2069525910
- Cited by
- 882
- References
- 0
- FWCI
- 10.12
- Type
- journal article
- Language
- en
- Open access
- closed
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- CoChat. (2026). Citation check: A Counterexample in Stochastic Optimum Control. https://app.cochat.ai/papers/10.1137/0306011
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- Witsenhausen, H. S. (1968). A Counterexample in Stochastic Optimum Control. SIAM Journal on Control. https://doi.org/10.1137/0306011
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Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
