On the parametric solution to the second-order Sylvester matrix equation .
Wang, Guo-Sheng, Lv, Qiang, Duan, Guang-Ren (2007)
Mathematical Problems in Engineering
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Displaying similar documents to “Forms of the Cayley-Hamilton theorem for generalized systems.”
On the parametric solution to the second-order Sylvester matrix equation .
A method of inverting matrices
Olga Porkorná (1970)
Aplikace matematiky
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Nonsingularity and -matrices.
Jiří Rohn (1990)
Aplikace matematiky
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New proofs of two previously published theorems relating nonsingularity of interval matrices to -matrices are given.
On matrices with non-positive off-diagonal elements and positive principal minors
Miroslav Fiedler, Vlastimil Pták (1962)
Czechoslovak Mathematical Journal
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The relationship between the infinite eigenvalue assignment for singular systems and the solvability of polynomial matrix equations
Tadeusz Kaczorek (2003)
International Journal of Applied Mathematics and Computer Science
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Two related problems, namely the problem of the infinite eigenvalue assignment and that of the solvability of polynomial matrix equations are considered. Necessary and sufficient conditions for the existence of solutions to both the problems are established. The relationships between the problems are discussed and some applications from the field of the perfect observer design for singular linear systems are presented.
An equivalent matrix pencilfor bivariate polynomial matrices
Mohamed Boudellioua (2006)
International Journal of Applied Mathematics and Computer Science
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In this paper, we present a simple algorithm for the reduction of a given bivariate polynomial matrix to a pencil form which is encountered in Fornasini-Marchesini's type of singular systems. It is shown that the resulting matrix pencil is related to the original polynomial matrix by the transformation of zero coprime equivalence. The exact form of both the matrix pencil and the transformation connecting it to the original matrix are established.