Analysis of the positivity and stability of linear electrical circuits with state-feedbacks

• Autorzy: Kaczorek T.

Identyfikatory

DOI

10.21008/j.1897-0737.2018.93.0002

• Konferencja: Computer Applications in Electrical Engineering (23-24.04.2018 ; Poznań, Polska)
• Języki publikacji: EN

Abstrakty

EN

The analysis of the positivity and stability of linear electrical circuits by the use of state-feedbacks is addressed. Generalized Frobenius matrices are proposed and their properties are investigated. It is shown that if the state matrix of electrical circuit has generalized Frobenius form then the closed-loop system matrix is not positive and asymptotically stable. Different cases of modification of the positivity and stability of linear electrical circuits by state-feedbacks are discussed and necessary conditions for the existence of solutions to the problem are established.

Słowa kluczowe

EN

positivity; stability; linear; electrical circuit; state-feedback

• Wydawca: Wydawnictwo Politechniki Poznańskiej
• Czasopismo: Poznan University of Technology Academic Journals. Electrical Engineering
• Rocznik: 2018
• Tom: No. 93
• Strony: 21--36
• Opis fizyczny: Bibliogr. 16 poz.

Twórcy

autor

Kaczorek T.

• Bialystok University of Technology

Bibliografia

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• [7] Kaczorek T., Infinite eigenvalue assignment by output-feedback for singular systems. Int. J. Appl. Math. Comput. Sci., vol. 14, no. 1, 2004, 19-23.
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• [9] Kaczorek T., Normal positive electrical circuits. IET Circuits Theory and Applications, vol. 9, no. 5, 2015, 691-699.
• [10] Kaczorek T., Positive 1D and 2D Systems. Springer-Verlag, London, 2002.
• [11] Kaczorek T., Positive electrical circuits and their reachability. Archives of Electrical Engineering, vol. 60, no. 3, 2011, 283-301.
• [12] Kaczorek T., Positive fractional linear electrical circuits. Proceedings of SPIE, vol. 8903, Bellingham WA, USA, Art. No 3903-35.
• [13] Kaczorek T., Positive unstable electrical circuits. Electrical Review, vol. 88, no. 5a, 2012, 187-192.
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Uwagi

The studies have been carried out in the framework of work No. S/WE/1/2016 and financed from the funds for science by the Polish Ministry of Science and Higher Education.