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http://yadda.icm.edu.pl:80/baztech/element/bwmeta1.element.baztech-article-BPOC-0049-0008

Czasopismo

Przegląd Elektrotechniczny

Tytuł artykułu

Fractional positive linear systems and electrical circuits

Autorzy Kaczorek, T. 
Treść / Zawartość http://pe.org.pl/
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  
Wydawca Wydawnictwo SIGMA-NOT
Czasopismo Przegląd Elektrotechniczny
Rocznik 2008
Tom R. 84, nr 9
Strony 135--141
Opis fizyczny Bibliogra. 39 poz., wykr.
Twórcy
autor Kaczorek, T.
Bibliografia
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