Evaluation of the reachability subspace of general form polynomial matrix descriptions (PMDs)
George F. Fragulis, Antonis I. G. Vardulakis (1994)
Kybernetika
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George F. Fragulis, Antonis I. G. Vardulakis (1994)
Kybernetika
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Tadeusz Kaczorek (2005)
Control and Cybernetics
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Lucas Jódar Sánchez (1987)
Stochastica
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Existence and uniqueness conditions for solving singular initial and two-point boundary value problems for discrete generalized Lyapunov matrix equations and explicit expressions of solutions are given.
Tadeusz Kaczorek (2001)
International Journal of Applied Mathematics and Computer Science
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A new problem of decreasing the degree of the closed-loop characteristic polynomial of the 2D Roesser model by a suitable choice of state feedbacks is formulated. Sufficient conditions are established under which it is possible to choose state feedbacks such that the non-zero closed-loop characteristic polynomial has degree zero. A procedure for computation of the feedback gain matrices is presented and illustrated by a numerical example.
Tadeusz Kaczorek (2007)
International Journal of Applied Mathematics and Computer Science
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A partial realization problem for positive linear discrete-time systems is addressed. Sufficient conditions for the existence of its solution are established. A procedure for the computation of a positive partial realization for a given finite sequence of the values of the impulse response is proposed. The procedure is illustrated by four numerical examples.
Philip Buckhiester (1973)
Acta Arithmetica
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