Fractional discrete-time Lyapunov cone-systems

• Autorzy: Przyborowski P.

Warianty tytułu

PL

Stożkowe dyskretne układy Lapunowa ułamkowego rzędu

• Języki publikacji: EN

Abstrakty

EN

The fractional discrete-time Lyapunov cone-systems are introduced. The necessary and sufficient conditions for being the cone system, reachability, controllability to zero and observability of the systems are established. The sufficient conditions for stability are given. The notion of the dual fractional Lyapunov cone-system is introduced and the relationship between the reachability and observability is given. The considerations are illustrated on the numerical example.

PL

Praca przedstawia stożkowe dyskretne układy Lapunowa ułamkowego rzędu. Ustanowione są warunki konieczne i wystarczające bycia układem stożkowym, osiągalności, sterowalności do zera i obserwowalności dla tego typu układów. Przedstawione są również układy dualne do stożkowych dyskretnych układów Lapunowa ułamkowego rzędu oraz związek między osiągalnością i obserwowalnością. Rozważania są zilustrowane na przykładach numerycznych.

Słowa kluczowe

EN

cone system; Lyapunov system; controllability to zero

PL

układy ułamkowego rzędu; układy stożkowe; układy Lapunowa; sterowalność do zera

• Wydawca: Wydawnictwo SIGMA-NOT
• Czasopismo: Przegląd Elektrotechniczny
• Rocznik: 2008
• Tom: R. 84, nr 5
• Strony: 47--52
• Opis fizyczny: Bibliogr. 50 poz.

Twórcy

autor

Przyborowski P.

• Warsaw University of Technology-Faculty of Electrical Engineering,

Bibliografia

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