Estimation and Control of Dynamical Systems
Integrity signals
Registry
Cites
Statistics
Claims the paper makes
Claims other papers make about this one
Each is checked against this paper’s own text: does it say what the citing paper says it does?
Discontinuous phase transitions in information-processing strategies have also been reported within the information bottleneck framework.
“Discontinuous phase transitions in informationprocessing strategies have also been reported within the information bottleneck framework [38-42].”
From Theoretical Analysis of Resource-Induced Phase Transitions in Estimation Strategies (2026) · cites this paper as [41]
Eq. (S6) is similar to the Riccati equation in standard optimal control theory, but has an additional last term because the work considers partial and noisy observations.
“Eq. (S6) is similar to the Riccati equation in the standard optimal control theory [10-12], but the last term is additional because this work considers partial and noisy observations.”
From Theoretical Analysis of Resource-Induced Phase Transitions in Estimation Strategies (2026) · cites this paper as [12]
Cites
Yao, J.-C. (1992) · Applied Mathematics Letters · doi:10.1016/0893-9659(92)90132-s · Cited by 18 · see citing works
Pontryagin's maximum principle
Wozny, M. J. (1962) · UA Campus Repository (The University of Arizona) · Cited by 16 · see citing works
Širca, S. (2016) · Graduate texts in physics · doi:10.1007/978-3-319-31611-6_8 · Cited by 7 · see citing works
Kreutzer, J. S., DeLuca, J., & Caplan, B. (2010) · Springer eBooks · doi:10.1007/978-0-387-79948-3_4326 · Cited by 5 · see citing works
(2015) · Bloomsbury Information Ltd eBooks · doi:10.5040/9781472920294.0015 · Cited by 5 · see citing works
Weik, M. H. (2000) · Springer eBooks · doi:10.1007/1-4020-0613-6_6592 · Cited by 5 · see citing works
Stackelberg Differential Games
Bensoussan, A. (2018) · Interdisciplinary applied mathematics · doi:10.1007/978-3-319-75456-7_17 · Cited by 3 · see citing works
Self-citationGetoor, R. K. (1990) · Birkhäuser Boston eBooks · doi:10.1007/978-1-4612-3470-8_1 · Cited by 2 · see citing works
Bensoussan, A. (2018) · Interdisciplinary applied mathematics · doi:10.1007/978-3-319-75456-7_10 · Cited by 2 · see citing works
Self-citationBosq, D., & Limnios, N. (2012) · doi:10.1002/9781118562024.ch3 · Cited by 2 · see citing works
A stochastic maximum principle
Becher, H. (2006) · Springer eBooks · doi:10.1007/bfb0038940 · Cited by 1 · see citing works
Complements on Probability Theory
Bensoussan, A. (2018) · Interdisciplinary applied mathematics · doi:10.1007/978-3-319-75456-7_6 · Cited by 1 · see citing works
Self-citationFiltering Theory in Continuous Time
Bensoussan, A. (2018) · Interdisciplinary applied mathematics · doi:10.1007/978-3-319-75456-7_7 · Cited by 1 · see citing works
Self-citationBensoussan, A. (2018) · Interdisciplinary applied mathematics · doi:10.1007/978-3-319-75456-7_12 · Cited by 1 · see citing works
Self-citationStochastic Control of Linear Dynamical Systems with Partial Information
Bensoussan, A. (2018) · Interdisciplinary applied mathematics · doi:10.1007/978-3-319-75456-7_9 · Cited by 1 · see citing works
Self-citationStochastic Control of Linear Dynamical Systems with Full Information
Bensoussan, A. (2018) · Interdisciplinary applied mathematics · doi:10.1007/978-3-319-75456-7_8 · Cited by 1 · see citing works
Self-citationReview of Basic Probability Concepts
Chan, R. H., Guo, Y. Z., Lee, S. T., et al. (2024) · Springer eBooks · doi:10.1007/978-981-99-9534-9_12 · Cited by 1 · see citing works
Flagged first, then by citations
Cited by
Sorted by citations
Memory-Limited Partially Observable Stochastic Control and Its Mean-Field Control Approach
Tottori, T., & Kobayashi, T. J. (2022) · Entropy · doi:10.3390/e24111599 · Cited by 11 · see citing works
Tottori, T., & Kobayashi, T. J. (2023) · Entropy · doi:10.3390/e25020208 · Cited by 11 · see citing works
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 · see citing works
Tottori, T., & Kobayashi, T. J. (2025) · Physical Review Research · doi:10.1103/gvl6-cvby · Cited by 6 · see citing works
Resource limitations induce phase transitions in biological information processing
Tottori, T., & Kobayashi, T. J. (2025) · Physical Review Research · doi:10.1103/nz4j-tyv1 · Cited by 3 · see citing works
Theoretical Analysis of Resource-Induced Phase Transitions in Estimation Strategies
Tottori, T., & Kobayashi, T. J. (2026) · Physical Review Letters · doi:10.1103/5ynb-7k4v
- Authors
- Bensoussan, A.
- Affiliations
- The University of Texas at Dallas (US)
- Corresponding author
- Bensoussan, Alain
- ORCID
- Bensoussan, Alain
- Venue
- Interdisciplinary Applied Mathematics
- Publisher
- Springer International Publishing
- Published
- 2018
- ISSN
- 0939-6047 (ISSN-L)
- 2196-9973
- OpenAlex
- W2804631621
- Cited by
- 51
- References
- 17
- Citations by year
- 2026: 4 · 2025: 13 · 2024: 6 · 2023: 7 · 2022: 6 · 2021: 5 · 2020: 5 · 2019: 4 · 2018: 1
- FWCI
- 3.58
- Type
- book
- Language
- en
- Open access
- closed
- Locations
- Interdisciplinary applied mathematics (publishedVersion)
- CERN Document Server (European Organization for Nuclear Research) (submittedVersion)
- Topics
- Social Sciences › Economics, Econometrics and Finance › Finance › Stochastic processes and financial applications
- Physical Sciences › Engineering › Control and Systems Engineering › Control Systems and Identification
- Physical Sciences › Engineering › Control and Systems Engineering › Stability and Controllability of Differential Equations
- Keywords
- dynamic system control, stochastic control, financial mathematics, differential games, control theory
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review
