Matrices with prescribed rows and invariant factors
Ion Zaballa (1986)
Extracta Mathematicae
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Ion Zaballa (1986)
Extracta Mathematicae
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Silva, Fernando C. (1987)
Portugaliae mathematica
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Nikolas P. Karampetakis, Ashley Clive Pugh, G. E. Hayton (1997)
Kybernetika
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Hervé Jacquet, Stephen Rallis (1996)
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Eduardo Marques de Sá (1980)
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Tadeusz Kaczorek (2010)
International Journal of Applied Mathematics and Computer Science
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The notion of a common canonical form for a sequence of square matrices is introduced. Necessary and sufficient conditions for the existence of a similarity transformation reducing the sequence of matrices to the common canonical form are established. It is shown that (i) using a suitable state vector linear transformation it is possible to decompose a linear 2D system into two linear 2D subsystems such that the dynamics of the second subsystem are independent of those of the first one,...