Determination of positive stable realizations for discrete-time linear systems

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send Tadeusz Kaczorek Faculty of Electrical Engineering, Białystok University of Technology, Białystok, Poland

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Abstract

Sufficient conditions for the existence of positive stable realizations for given proper transfer matrices are established. Two methods are proposed for determination of the positive stable realizations for given proper transfer matrices. The effectives of the proposed procedures is demonstrated on numerical examples.

Keywords

determination, discrete-time, positive, stable

Wyznaczanie dodatnich stabilnych realizacji dla dyskretnych układów linearnych

Streszczenie

Podane zostaną warunki wystarczające istnienia stabilnej realizacji dodatniej dla danej właściwej macierzy transmitancji operatorowych. Przedstawione zostaną dwie metody wyznaczania stabilnej realizacji dodatniej dla zadanej macierzy transmitancji operatorowych. Efektywność proponowanych metod zilustrowana zostanie przykładami numerycznymi.

Słowa kluczowe

realizacja dodatnia, stabilny, układ dyskretny, wyznaczanie

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