On various interpretations of the Rosenbrock theorem
Jean-Jacques Loiseau, Petr Zagalak (1993)
Kybernetika
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Jean-Jacques Loiseau, Petr Zagalak (1993)
Kybernetika
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Vladimír Kučera (1981)
Kybernetika
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Petr Zagalak, Jean-François Lafay, Jean-Jacques Loiseau (1993)
Kybernetika
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Konstadinos H. Kiritsis, Trifon G. Koussiouris (2002)
Kybernetika
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In this paper a system-theoretic approach is used to solve the decoupling in combination with the arbitrary pole assignment problem by constant output feedback and a constant nonsingular input transformation. Explicit necessary and sufficient conditions are given and a procedure is described for the determination of the control law.
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...