The problem of calculation of the characteristic equations of the standard and descriptor linear electrical circuits of integer and fractional orders is addressed. It is shown that the characteristic equations of standard and descriptor linear electrical circuits are independent of the method used in their analysis: the state space method, the mesh method and the node method. The considerations are illustrated by examples of standard and fractional linear electrical circuits.
REFERENCES(35)
1.
Antsaklis P.J., Michel A.N. (2006), Linear Systems, Birkhauser, Boston.
Kaczorek T. (2011a), Positive linear systems consisting of n subsystems with different fractional orders, IEEE Trans. Circuits and Systems, 58(6), 1203–1210.
Kaczorek T. (2014a), Polynomial approach to fractional descriptor electrical circuits, Computational Models for Business and Engineering Domains - ITHEA, Rzeszow, Poland.
Kaczorek T. (2014b), Decoupling zeros of positive continuous-time linear systems and electrical circuit, Advances in Systems Science. Advances in Intelligent Systems and Computing, 240, 1–15.
Ostalczyk P. (2008), Epitome of the fractional calculus: Theory and its Applications in Automatics, Technical University of Łódź Press, Łódź (in Polish).
Sajewski Ł. (2016), Reachability, observability and minimum energy control of fractional positive continuous-time linear systems with two different fractional orders, Multidimensional Systems and Signal Processing, 27(1), 27–41.
Vinagre B.M., Monje C.A., Calderon A.J. (2002), Fractional order systems and fractional order control actions, Lecture 3 IEEE CDC’02 TW#2: Fractional calculus Applications in Automatic Control and Robotics.
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