Fractional positive linear systems and electrical circuits

• Autorzy: Kaczorek, T.

Warianty tytułu

PL

Dodatnie układy ciągle i dyskretne ułamkowego rzędu - możliwość zastosowania do analizy obwodów elektrycznych

• Języki publikacji: EN

Abstrakty

EN

Fractional positive linear continuous-time and discrete-time systems are addressed. The solutions to the state equations of the fractional systems are derived using the Laplace and the Z transforms, respectively. Necessary and sufficient conditions are established for the internal and external positivity of the fractional systems. Some applications of the of the fractional systems theory to electrical circuits are given.

PL

W artykule są rozpatrywane dodatnie układy ciągle i dyskretne ułamkowego rzędu. Korzystając z przekształcenia Laplace’a i odpowiednio z przekształcenia Z wyprowadzono rozwiązania równań stanu tych ciągłych i dyskretnych układów ułamkowego rzędu. Sformułowano i udowodniono warunki konieczne i wystarczające dodatniości tych układów. Na przykładzie dwójnika R,C pokazano możliwość zastosowania przedstawionych metod do analizy obwodów elektrycznych.

Słowa kluczowe

PL

układy ciągłe; układy dyskretne; obwód elektryczny

EN

fractional; positive; continuous-time; discrete-time; electrical circuit

• Czasopismo: Przegląd Elektrotechniczny
• Rocznik: 2008
• Tom: R. 84, nr 9
• Strony: 135-141
• Opis fizyczny: Bibliogra. 39 poz., wykr.

Twórcy

autor

Kaczorek, T.

• Bialystok Technical University,

Bibliografia

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