Positive fractional linear systems

eng Artykuł w języku angielskim DOI:

wyślij Tadeusz Kaczorek Białystok University of Technology Faculty of Electrical Engineering

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Abstract

An overview of some recent published and unpublished results on positive fractional continuous-time and discrete-time linear systems is given. The first part of the paper is devoted to the positive continuous-time fractional systems. For those systems the solutions to the fractional state equations are proposed. Necessary and sufficient conditions for the positivity, reachability and stability are established. In the second part similar problems are considered for positive discrete-time fractional systems.

Keywords

discrete-time systems, linear system

Dodatnie układy liniowe niecałkowitego rzędu

Streszczenie

W pracy dokonano syntetycznego przeglądu nowych publikowanych i niepublikowanych wyników dotyczących dodatnich ciągłych i dyskretnych układów liniowych niecałkowitego rzędu. W części pierwszej poświęconej układom ciągłym podano rozwiązanie układu równań stanu, warunki konieczne i wystarczające dodatniości, osiągalności i stabilności układów dodatnich. W części drugiej przedstawiono podobne wyniki dla układów dyskretnych.

Słowa kluczowe

układ dyskretny, układ liniowy

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