Reduction of linear electrical circuits with complex eigenvalues to linear electrical circuits with real eigenvalues

• Autorzy: Kaczorek T. , Borawski K.
• Języki publikacji: EN

Abstrakty

EN

The problem of reduction of linear electrical circuits with complex eigenvalues to linear electrical circuits with real eigenvalues is analyzed. Methods for finding the transformation matrix are presented. Considerations are illustrated by numerical examples.

Słowa kluczowe

EN

linear; electrical circuit; complex; real; eigenvalues; transformation matrix

• Wydawca: Wydawnictwo PAK
• Czasopismo: Measurement Automation Monitoring
• Rocznik: 2015
• Tom: Vol. 61, No. 4
• Strony: 115--117
• Opis fizyczny: Bibliogr. 10 poz., wzory

Twórcy

autor

Kaczorek T.

• Bialystok University of Technology, Faculty of Electrical Engineering, ul. Wiejska 45D, 15-351 Białystok

autor

Borawski K.

• Bialystok University of Technology, Faculty of Electrical Engineering, ul. Wiejska 45D, 15-351 Białystok

Bibliografia

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• [4] Kaczorek T., Borawski K.: Positive stable realization problem for linear continuous-time fractional-order systems with symmetric system Metzler matrix, Measurement Automation Monitoring, 2014, vol. 60, no. 10, pp. 822-825 (in Polish).
• [5] Kaczorek T.: The relationship between the definitions of transposition, similarity and symmetrization and matrix equalities, 2005, Matematyka Stosowana, vol. 6, pp. 21-28 (in Polish).
• [6] Kaczorek T.: Vectors and Matrices in Automation and Electrotechnics, WNT, Warszawa, 1998 (in Polish).
• [7] Lancaster P., Tismenetsky M.: The Theory of Matrices, Academic Press, Orlando, 1985.
• [8] Taussky O., Zassenhaus H.: On the similarity transformation between a matrix and its transpose, Pacific J. Math. 9 (1956), 893-896.
• [9] Taussky O.: The role of symmetric matrices in the study of general matrices, Linear Algebra Appl. 5 (1972), 147-154.
• [10] Żak S. H.: Systems and Control, Oxford University Press, New York, 2003.