Weighting function and state equations of linear discrete-time-varying system
Václav Soukup (1973)
Kybernetika
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Václav Soukup (1973)
Kybernetika
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Václav Soukup (1972)
Kybernetika
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Zdeněk Vostrý (1972)
Kybernetika
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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.
Jamal Bouyaghroumni, Abdelhaq El Jai, Mostafa Rachik (2001)
International Journal of Applied Mathematics and Computer Science
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We consider a discrete disturbed system given by the difference bilinear equation where are disturbances which excite the system in a linear and a bilinear form. We assume that the system is augmented with the output function. Let be a tolerance index on the output. The disturbance is said to be -admissible if, where is the output signal associated with the case of an uninfected system. The set of all -admissible disturbances is the admissible set. The characterization of is investigated...
Václav Soukup (1999)
Kybernetika
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This contribution deals with the discrete-time linear state models of pure deadtime multi-input, multi-output dynamic processes. A straightforward way is presented to obtain minimum-dimensional state realizations of these processes.