The DOI matches its Crossref record; 1 of the 1 references it cites were found in a registry or an index.
Suboptimal state estimation for continuous-time nonlinear systems from discrete noisy measurements
Abstract
This paper presents the derivation of the dynamical equations of a second-order filter which estimates the states of a non-linear plant on the basis of discrete noisy measurements. The filter equations contain terms involving the second-order partial derivatives of the plant and output equations. Simulation results are presented which yield a comparison of the performance of the first-versus the second-order filter when applied to a nonlinear third-order system. The results indicate that the inclusion of second-order terms can markedly improve the filter performance.
Overview
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Integrity signals
Registry
Cites
Statistics
Verification
Claims the paper makes
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Self-check
Percentages, sums and reported differences re-computed from the paper’s own numbers.
The self-check needs the paper’s full text.
Citations
Cites
A New Approach to Linear Filtering and Prediction Problems
Kalman, R. E. (1960) · Journal of Basic Engineering · doi:10.1115/1.3662552 · Cited by 31,751
Cited by
Gaussian filters for nonlinear filtering problems
Ito, K., & Xiong, K. (2000) · IEEE Transactions on Automatic Control · doi:10.1109/9.855552 · Cited by 1,498
System identification—A survey
Åström, K. J., & Eykhoff, P. (1971) · Automatica · doi:10.1016/0005-1098(71)90059-8 · Cited by 1,495
Nonlinear Bayesian estimation using Gaussian sum approximations
Alspach, D., & Sorenson, H. (1972) · IEEE Transactions on Automatic Control · doi:10.1109/tac.1972.1100034 · Cited by 1,239
Discrete-Time Nonlinear Filtering Algorithms Using Gauss–Hermite Quadrature
Arasaratnam, I., Haykin, S., & Elliott, R. J. (2007) · Proceedings of the IEEE · doi:10.1109/jproc.2007.894705 · Cited by 622
Cubature Kalman Filtering for Continuous-Discrete Systems: Theory and Simulations
Arasaratnam, I., Haykin, S., & Hurd, T. R. (2010) · IEEE Transactions on Signal Processing · doi:10.1109/tsp.2010.2056923 · Cited by 580
Metadata
- Authors
- Athans, M., Wishner, R., & Bertolini, A.
- Venue
- IEEE Transactions on Automatic Control
- Published
- 1968-10
- Volume
- 13
- Issue
- 5
- Pages
- 504-514
- ISSN
- 0018-9286 (ISSN-L)
- OpenAlex
- W2120717581
- Cited by
- 395
- References
- 1
- FWCI
- 10.59
- Type
- journal article
- Language
- en
- Open access
- closed
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
How to cite
Cite CoChat for the checks on this page, and the paper for its own findings.
- This page
- CoChat. (2026). Citation check: Suboptimal state estimation for continuous-time nonlinear systems from discrete noisy measurements. https://app.cochat.ai/papers/10.1109/tac.1968.1098986
- The paper
- Athans, M., Wishner, R., & Bertolini, A. (1968). Suboptimal state estimation for continuous-time nonlinear systems from discrete noisy measurements. IEEE Transactions on Automatic Control. https://doi.org/10.1109/tac.1968.1098986
Data sources
Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
