Normal positive linear systems and electrical circuits

• Autorzy: Kaczorek T.

Identyfikatory

DOI

10.15199/48.2018.06.01

Warianty tytułu

PL

Normalne dodatnie układy liniowe i obwody elektryczne

• Języki publikacji: EN

Abstrakty

EN

The notion of normal positive electrical circuits is introduced and some their specific properties are investigated. New state matrices of positive linear systems and electrical circuits are proposed and their properties are analyzed. It is shown that positive electrical circuits with diagonal state matrices are normal for all values of resistances, inductances and capacitances.

PL

W artykule zaproponowano pojęcie dodatniego obwodu elektrycznego oraz przeanalizowano specjalne własności dodatnich układów i obwodów elektrycznych. Wykazano, że dodatnie obwody elektryczne z diagonalnymi macierzami stanu są zawsze normalne dla wszystkich wartości rezystancji, indukcyjności i pojemności.

Słowa kluczowe

EN

normal; positive; linear; system; electrical circuit

PL

układ normalny; układ dodatni; układ liniowy; obwód elektryczny

• Wydawca: Wydawnictwo SIGMA-NOT
• Czasopismo: Przegląd Elektrotechniczny
• Rocznik: 2018
• Tom: R. 94, nr 6
• Strony: 1--7
• Opis fizyczny: Bibliogr. 31 poz.

Twórcy

autor

Kaczorek T.

• Politechnika Białostocka, Wydział Elektryczny, ul. Wiejska 45a, 15-351 Białystok

Bibliografia

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• [7] Kaczorek T., Characteristic equations of the standard and descriptor linear electrical circuits. Poznan University of Technology Academic Journals: Electrical Engineering, no. 89 (2017) 11-23.
• [8] Kaczorek T., Characteristic polynomials of positive and minimal-phase electrical circuits. Electrical Review, vol. 92 (2016) no. 6, 79-85.
• [9] Kaczorek T., Constructability and observability of standard and positive electrical circuits. Electrical Review, vol. 89 (2013) no. 7, 132-136.
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• [25] Kaczorek T., Borawski K., Stability of continuous-time and discrete-time linear systems with inverse state matrices. Measurement Automation Monitoring, 62 (2016) no. 4, 132135.
• [26] Kaczorek T., Rogowski K., Fractional Linear Systems and Electrical Circuits. Studies in Systems, Decision and Control, vol. 13 (2015), Springer.
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Uwagi

Opracowanie rekordu w ramach umowy 509/P-DUN/2018 ze środków MNiSW przeznaczonych na działalność upowszechniającą naukę (2018).