The DOI matches its Crossref record; 5 of the 5 references it cites were found in a registry or an index.
Kronecker products and matrix calculus in system theory
Abstract
The paper begins with a review of the algebras related to Kronecker products. These algebras have several applications in system theory including the analysis of stochastic steady state. The calculus of matrix valued functions of matrices is reviewed in the second part of the paper. This calculus is then used to develop an interesting new method for the identifiication of parameters of lnear time-invariant system models.
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Citations
Cites
The algebraic eigenvalue problem
Wilkinson, J. H. (1965) · Cited by 5,833
Introduction to matrix analysis
Amar, H. (1960) · Journal of the Franklin Institute · doi:10.1016/0016-0032(60)90904-2 · Cited by 2,316
Müller, P. C., & Weber, H. I. (1972) · Automatica · doi:10.1016/0005-1098(72)90044-1 · Cited by 344
Linear System Theory: the State Space Approach
Mayne, D. Q. (1964) · Electronics and Power · doi:10.1049/ep.1964.0233 · Cited by 187
A Note on Kronecker Matrix Products and Matrix Equation Systems
Neudecker, H. (1969) · SIAM Journal on Applied Mathematics · doi:10.1137/0117057 · Cited by 106
Cited by
Deconstructing multiantenna fading channels
Sayeed, A. M. (2002) · IEEE Transactions on Signal Processing · doi:10.1109/tsp.2002.803324 · Cited by 1,120
Al-Tamimi, A., Lewis, F. L., & Abu-Khalaf, M. (2007) · Automatica · doi:10.1016/j.automatica.2006.09.019 · Cited by 611
Lewis, F. L., & Vamvoudakis, K. G. (2011) · IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics) · doi:10.1109/tsmcb.2010.2043839 · Cited by 544
Complex-Valued Matrix Differentiation: Techniques and Key Results
Hjorungnes, A., & Gesbert, D. (2007) · IEEE Transactions on Signal Processing · doi:10.1109/tsp.2007.893762 · Cited by 537
Uncertainty bounds on modal parameters obtained from stochastic subspace identification
Reynders, E., Pintelon, R., & De Roeck, G. (2008) · Mechanical Systems and Signal Processing · doi:10.1016/j.ymssp.2007.10.009 · Cited by 454
Metadata
- Authors
- Brewer, J.
- Venue
- IEEE Transactions on Circuits and Systems
- Published
- 1978-09
- Volume
- 25
- Issue
- 9
- Pages
- 772-781
- ISSN
- 0098-4094 (ISSN-L)
- OpenAlex
- W2095590702
- Cited by
- 1,907
- References
- 5
- FWCI
- 11.12
- Type
- journal article
- Language
- en
- Open access
- closed
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- CoChat. (2026). Citation check: Kronecker products and matrix calculus in system theory. https://app.cochat.ai/papers/10.1109/tcs.1978.1084534
- The paper
- Brewer, J. (1978). Kronecker products and matrix calculus in system theory. IEEE Transactions on Circuits and Systems. https://doi.org/10.1109/tcs.1978.1084534
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.
