Minimal Bases of Rational Vector Spaces, with Applications to Multivariable Linear Systems

G. David Forney, Jr.

doi:10.1137/0313029

Minimal Bases of Rational Vector Spaces, with Applications to Multivariable Linear Systems

SIAM Journal on Control ◽

10.1137/0313029 ◽

1975 ◽

Vol 13 (3) ◽

pp. 493-520 ◽

Cited By ~ 494

Author(s):

G. David Forney, Jr.

Keyword(s):

Linear Systems ◽

Vector Spaces ◽

Rational Vector ◽

Rational Vector Spaces

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Proper, Minimal Macmillan Degree, Bases of Rational Vector Spaces

10.23919/acc.1983.4788293 ◽

1983 ◽

Cited By ~ 1

Author(s):

Antonis I.G. Vardulakis ◽

Nicos Karcanias

Keyword(s):

Vector Spaces ◽

Rational Vector ◽

Rational Vector Spaces

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Geometric properties, invariants, and the Toeplitz structure of minimal bases of rational vector spaces

IMA Journal of Mathematical Control and Information ◽

10.1093/imamci/13.1.1 ◽

1996 ◽

Vol 13 (1) ◽

pp. 1-11 ◽

Cited By ~ 6

Author(s):

N Karcanias

Keyword(s):

Vector Spaces ◽

Geometric Properties ◽

Rational Vector ◽

Toeplitz Structure ◽

Rational Vector Spaces

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Minimal Bases of Rational Vector Spaces and Their Importance in Algebraic Systems Theory

The Kluwer International Series in Engineering and Computer Science - Codes, Graphs, and Systems ◽

10.1007/978-1-4615-0895-3_20 ◽

2002 ◽

pp. 345-357

Author(s):

J. Rosenthal

Keyword(s):

Systems Theory ◽

Vector Spaces ◽

Algebraic Systems ◽

Rational Vector ◽

Rational Vector Spaces ◽

Algebraic Systems Theory

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Rational vector spaces. II

Duke Mathematical Journal ◽

10.1215/s0012-7094-50-01715-7 ◽

1950 ◽

Vol 17 (2) ◽

pp. 135-145 ◽

Cited By ~ 1

Author(s):

C. J. Everett ◽

H. J. Ryser

Keyword(s):

Vector Spaces ◽

Rational Vector ◽

Rational Vector Spaces

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Rational vector spaces I

Duke Mathematical Journal ◽

10.1215/s0012-7094-49-01651-8 ◽

1949 ◽

Vol 16 (4) ◽

pp. 553-570 ◽

Cited By ~ 6

Author(s):

C. J. Everett ◽

H. J. Ryser

Keyword(s):

Vector Spaces ◽

Rational Vector ◽

Rational Vector Spaces

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Classification of proper bases of rational vector spaces: minimal MacMillian degree bases

International Journal of Control ◽

10.1080/00207178308933111 ◽

1983 ◽

Vol 38 (4) ◽

pp. 779-809 ◽

Cited By ~ 13

Author(s):

ANTONIS I. G VARDULAKIS ◽

NICOS KARCANIAS

Keyword(s):

Vector Spaces ◽

Rational Vector ◽

Rational Vector Spaces

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Proper and stable, minimal MacMillan degrees bases of rational vector spaces

IEEE Transactions on Automatic Control ◽

10.1109/tac.1984.1103456 ◽

1984 ◽

Vol 29 (12) ◽

pp. 1118-1120 ◽

Cited By ~ 9

Author(s):

A. Vardulakis ◽

N. Karcanias

Keyword(s):

Vector Spaces ◽

Rational Vector ◽

Rational Vector Spaces

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Tight frames for cyclotomic fields and other rational vector spaces

Linear Algebra and its Applications ◽

10.1016/j.laa.2015.02.021 ◽

2015 ◽

Vol 476 ◽

pp. 98-123 ◽

Cited By ~ 1

Author(s):

Tuan-Yow Chien ◽

Victor Flynn ◽

Shayne Waldron

Keyword(s):

Vector Spaces ◽

Tight Frames ◽

Cyclotomic Fields ◽

Rational Vector ◽

Rational Vector Spaces

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Minimal polynomial bases for the dual spaces of rational vector spaces with applications to realization theory

10.1109/cdc.1981.269296 ◽

1981 ◽

Author(s):

Jean Conan

Keyword(s):

Minimal Polynomial ◽

Vector Spaces ◽

Realization Theory ◽

Dual Spaces ◽

Rational Vector ◽

Polynomial Bases ◽

Rational Vector Spaces

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Note on initial topologies on rational vector spaces induced by realvalued linear mappings

Aequationes Mathematicae ◽

10.1007/bf02189417 ◽

1985 ◽

Vol 28 (1) ◽

pp. 252-254

Author(s):

Peter Schroth

Keyword(s):

Vector Spaces ◽

Rational Vector ◽

Rational Vector Spaces

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