Nilpotency indices of state matrices and linear dependence on time of state variable of electrical circuits with state feedbacks

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Nilpotency indices of state matrices and linear dependence on time of state variable of electrical circuits with state feedbacks

Electrical circuits with state-feedbacks are addressed. It is shown that by suitable choice of the gain matrices of state-feedbacks it is possible to obtain the closed-loop system matrices with nilpotency indices equal to two and their state variables are linear functions of time. The considerations are illustrated by linear electrical circuits.

P.J. Antsaklis and N. Michel, Linear Systems. McGrow-Hill, New York 1997.

S. Bolkowski, Theory of Electrical Circuits. WNT, Warszawa 2008 (in Polish).

C.T. Chen, Linear Systems Theory and Design. Oxford University Press, New York 1999.

T. Cholewicki, Analysis of Electrical Circuits. WNT Warszawa 1962 (in Polish).

T. Kaczorek, On formulation of differential equations in normal form describing linear electrical circuits. Archiwum Elektrotechniki 1964, Vol. 13, z. 3 (in Polish).

T. Kaczorek, Vectors and Matrices in Automation and Electrotechnics. WNT Warszawa 1998 (in Polish).

T. Kaczorek, Positive 1D and 2D Systems, Springer-Verlag London 2002.

T. Kaczorek, Polynomial and Rational Matrices, Applications in Dynamical Systems Theory. Springer-Verlag London 2007.

T. Kaczorek, Theory of Control Systems. PWN Warszawa 1999 (in Polish).

St. Zak, Systems and Control. Oxford University Press, New York 2003.

Archives of Electrical Engineering

The Journal of Polish Academy of Sciences

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CiteScore 2016: 0.71

SCImago Journal Rank (SJR) 2016: 0.238
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