The DOI matches its Crossref record; 1 of the 1 references it cites were found in a registry or an index.
Canonical forms for linear multivariable systems
Abstract
A class of well-known canonical forms for single-input or single-output controllable and observable systems are extended to multivariable systems. It is shown that, unlike the single-variable case, the canonical forms are generally not unique, but that the structure of the canonical form can be controlled to some extent by the designer. A major result of the paper is that a multi-input system can be transformed to a set of coupled single-input subsystems.
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
Observers for multivariable systems
Luenberger, D. (1966) · IEEE Transactions on Automatic Control · doi:10.1109/tac.1966.1098323 · Cited by 1,763
Self-citation
Cited by
Luenberger, D. (1971) · IEEE Transactions on Automatic Control · doi:10.1109/tac.1971.1099826 · Cited by 2,709
Self-citationDesign of a stable state feedback controller based on the multirate sampling of the plant output
Hagiwara, T., & Araki, M. (1988) · IEEE Transactions on Automatic Control · doi:10.1109/9.1309 · Cited by 263
Review and classification of recent observers applied in chemical process systems
Mohd Ali, J., Ha Hoang, N., Hussain, M. A., & Dochain, D. (2015) · Computers & Chemical Engineering · doi:10.1016/j.compchemeng.2015.01.019 · Cited by 239
Metadata
- Authors
- Luenberger, D.
- Venue
- IEEE Transactions on Automatic Control
- Published
- 1967-06
- Volume
- 12
- Issue
- 3
- Pages
- 290-293
- ISSN
- 0018-9286 (ISSN-L)
- 1558-2523
- OpenAlex
- W2159027556
- Cited by
- 700
- References
- 1
- FWCI
- 25.55
- 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: Canonical forms for linear multivariable systems. https://app.cochat.ai/papers/10.1109/tac.1967.1098584
- The paper
- Luenberger, D. (1967). Canonical forms for linear multivariable systems. IEEE Transactions on Automatic Control. https://doi.org/10.1109/tac.1967.1098584
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.