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)
Compositio Mathematica
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Eduardo Marques de Sá (1980)
Czechoslovak Mathematical Journal
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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,...
Tadeusz Kaczorek (2005)
International Journal of Applied Mathematics and Computer Science
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The classical Cayley-Hamilton theorem is extended to continuous-time linear systems with delays. The matrices of the system with delays satisfy algebraic matrix equations with coefficients of the characteristic polynomial.