On uniform symmetrization of analytic matrix functions
J. Kisyński (1972)
Studia Mathematica
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Displaying similar documents to “Algebraic matrix equations in systems theory”
On uniform symmetrization of analytic matrix functions
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.
An additive inverse characteristic polynomial theorem
Silva, Fernando C. (1990)
Portugaliae mathematica
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Closed form solutions of coupled algebraic and differential matrix equations
Jódar, Lucas (1990)
Portugaliae mathematica
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New coprime polynomial fraction representation of transfer function matrix
Yelena M. Smagina (2001)
Kybernetika
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A new form of the coprime polynomial fraction of a transfer function matrix is presented where the polynomial matrices and have the form of a matrix (or generalized matrix) polynomials with the structure defined directly by the controllability characteristics of a state- space model and Markov matrices , , ...
Solving two-point boundary value problems for the non monic regular matrix differential equation
Navarro, E., Jódar, L. (1991)
Portugaliae mathematica
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Matrix quadratic equations column/row reduced factorizations and an inertia theorem for matrix polynomials
Irina Karelin, Leonid Lerer (2001)
International Journal of Applied Mathematics and Computer Science
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It is shown that a certain Bezout operator provides a bijective correspondence between the solutions of the matrix quadratic equation and factorizatons of a certain matrix polynomial (which is a specification of a Popov-type function) into a product of row and column reduced polynomials. Special attention is paid to the symmetric case, i.e. to the Algebraic Riccati Equation. In particular, it is shown that extremal solutions of such equations correspond to spectral factorizations of...