Structure and Smith-MacMillan form of a rational matrix at infinity
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Publication:3959816
DOI10.1080/00207178208922649zbMath0495.93010OpenAlexW2067805107MaRDI QIDQ3959816
A. I. G. Vardulakis, D. N. J. Limebeer, Nicos Karcanias
Publication date: 1982
Published in: International Journal of Control (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/00207178208922649
Linear systems in control theory (93C05) Canonical structure (93B10) Valuation rings (13F30) Canonical forms, reductions, classification (15A21) Matrices, determinants in number theory (11C20)
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Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Linear multivariable systems
- On the zeros and poles of a rational matrix
- A generalized state-space for singular systems
- Properties of the system matrix of a generalized state-space system†
- Rational matrix structure
- On the determination of the Smith-Macmillan form of a rational matrix from its Laurent expansion
- On the Structure of Multivariable Systems