Positive continuous-discrete time linear systems with delays in state vector

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send Łukasz Sajewski Bialystok University of Technology, Faculty of Electrical Engineering

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Abstract

A new class of positive continuous-discrete time linear systems with delays in state vector is addressed. Three state space model of this class of linear systems are considered. Necessary and sufficient conditions for the positivity of continuous-discrete time systems with delays in state vector are established. The proper transfer matrix of this class of linear systems is given.

Keywords

positive continuous-discrete time systems

Dodatnie liniowe układy ciągło-dyskretne z opóźnieniem w wektorze stanu

Streszczenie

Zaprezentowana zostanie nowa klasa dodatnich układów ciągło-dyskretnych z opóźnieniem w wektorze stanu. Rozpatrzone zostaną trzy modele opisujące tę klasę układów w przestrzeni stanu. Podane zostaną warunki konieczne i wystarczające dodatniości liniowych układów ciągło-dyskretnych z opóźnieniem w wektorze stanu. Podana zostanie postać operatorowej macierzy transmitancji właściwych rozpatrywanej klasy układów.

Słowa kluczowe

dodatnie układy ciągło-dyskretne

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