Equivalence, invariance and dynamical system canonical modelling. I. Invariant properties of observable models and associated transformations
Roberto P. Guidorzi (1989)
Kybernetika
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Roberto P. Guidorzi (1989)
Kybernetika
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Vladimír Kučera (1981)
Kybernetika
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Jean-Jacques Loiseau, Petr Zagalak, Sabine Mondié (2004)
Kybernetika
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The matrix pencil completion problem introduced in [J. J. Loiseau, S. Mondié, I. Zaballa, and P. Zagalak: Assigning the Kronecker invariants to a matrix pencil by row or column completions. Linear Algebra Appl. 278 (1998)] is reconsidered and the latest results achieved in that field are discussed.
Vassilis L. Syrmos, Petr Zagalak (1996)
Kybernetika
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Frank Callier, Ferdinand Kraffer (2005)
International Journal of Applied Mathematics and Computer Science
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We review the polynomial matrix compensator equation X_lD_r + Y_lN_r = Dk (COMP), e.g. (Callier and Desoer, 1982, Kučera, 1979; 1991), where (a) the right-coprime polynomial matrix pair (N_r, D_r) is given by the strictly proper rational plant right matrix-fraction P = N_rD_r, (b) Dk is a given nonsingular stable closed-loop characteristic polynomial matrix, and (c) (X_l, Y_l) is a polynomial matrix solution pair resulting possibly in a (stabilizing) rational compensator given by the...