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Warianty tytułu
Normalne dodatnie układy liniowe i obwody
Języki publikacji
Abstrakty
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.
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
Rocznik
Tom
Strony
7--20
Opis fizyczny
Bibliogr. 28 poz.
Twórcy
autor
- Bialystok University of Technology, Faculty of Electrical Engineering, ul. Wiejska 45D 15-351, Białystok
Bibliografia
- [1] Antsaklis E., Michel A.: Linear Systems. Birkhauser, Boston, 2006.
- [2] Farina L., Rinaldi S.: Positive Linear Systems: Theory and Applications. J. Wiley & Sons, New York, 2000.
- [3] Kaczorek T.: Asymptotic stability of positive fractional 2D linear systems. Bull. Pol. Acad. Sci. Tech., vol. 57, no. 3, p. 289-292, 2009.
- [4] Kaczorek T.: Characteristic equations of the standard and descriptor linear electrical circuits. Poznan University of Technology Academic Journals: Electrical Engineering, no. 89, p. 11-23, 2017.
- [5] Kaczorek T.: Characteristic polynomials of positive and minimal-phase electrical circuits. Electrical Review, vol. 92, no. 6, p. 79-85, 2016.
- [6] Kaczorek T.: Constructability and observability of standard and positive electrical circuits. Electrical Review, vol. 89, no. 7, p. 132-136, 2013.
- [7] Kaczorek T.: Controllability and observability of linear electrical circuits. Electrical Review, vol. 87, no. 9a, p. 248-254, 2011.
- [8] Kaczorek T.: Decoupling zeros of positive discrete-time linear systems. Circuits and Systems, vol. 1, p. 41-48, 2010.
- [9] Kaczorek T.: Minimal-phase positive electrical circuits. Electrical Review, vol. 92, no. 3, p. 182-189, 2016.
- [10] Kaczorek T.: Normal positive electrical circuits, IET Circuits Theory and Applications, vol. 9, no. 5, p. 691-699, 2015.
- [11] Kaczorek T.: Polynomial and Rational Matrices. Springer-Verlag, London, 2007.
- [12] Kaczorek T.: Positive 1D and 2D Systems. Springer-Verlag, London, 2002.
- [13] Kaczorek T.: Positive electrical circuits and their reachability. Archives of Electrical Engineering, vol. 60, no. 3, p. 283-301, 2011.
- [14] Kaczorek T.: Positive linear systems and electrical circuits with inverse state matrices. Electrical Review, vol. 93, no. 11, p. 119-124, 2017.
- [15] Kaczorek T.: Positivity and reachability of fractional electrical circuits. Acta Mechanica et Automatica, vol. 5, no. 2, p. 42-51, 2011.
- [16] Kaczorek T.: Reachability and controllability to zero tests for standard and positive fractional discrete-time systems. Journal Européen des Systemes Automatisés, JESA, vol. 42, no. 6-8, p. 769-787, 2008.
- [17] Kaczorek T.: Responses of standard and fractional linear systems and electrical circuits with derivatives of their inputs. Electrical Review, vol. 93, no. 6, p. 132-136, 2017.
- [18] Kaczorek T.: Specific duality and stability of positive electrical circuits. Archives of Electrical Engineering, vol. 66, no. 4, p. 663-679, 2017.
- [19] Kaczorek T.: Standard and positive electrical circuits with zero transfer matrices. Poznan University of Technology Academic Journals: Electrical Engineering, no. 85, p. 11-28, 2016.
- [20] Kaczorek T.: Vectors and Matrices in Automation and Electrotechnics. WNT, Warsaw,
- 1998 (in Polish).
- [21] Kaczorek T., Borawski K.: Reduction of linear electrical circuits with complex eigenvalues to linear electrical circuits with real eigenvalues. Measurement Automation Monitoring, vol. 61, no. 4, p. 115-117, 2015.
- [22] Kaczorek T., Borawski K.: Stability of continuous-time and discrete-time linear systems with inverse state matrices. Measurement Automation Monitoring, vol. 62, no. 4, p. 132-135, 2016.
- [23] Kaczorek T., Rogowski K.: Fractional Linear Systems and Electrical Circuits. Studies in Systems, Decision and Control, vol. 13, Springer, 2015.
- [24] Kailath T.: Linear systems. Prentice Hall, Englewood Cliffs, New York, 1980.
- [25] Kalman R.E.: Mathematical description of linear systems. SIAM J. Control, vol. 1, no. 2, p. 152-192, 1963.
- [26] Kalman R.E.: On the general theory of control systems. Proc. 1st Intern. Congress on Automatic Control, London, p. 481-493, 1960.
- [27] Klamka J.: Controllability of Dynamical Systems. Kluwer Academic Press, Dordrecht, 1991.
- [28] Wolovich W.: Linear Multivariable Systems. Springer, New York, 1974.
Uwagi
PL
Opracowanie rekordu w ramach umowy 509/P-DUN/2018 ze środków MNiSW przeznaczonych na działalność upowszechniającą naukę (2019).
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-91630a11-f983-4a26-baef-2e5eddd9b9a1