Decoupling zeros of positive electrical circuits

• Autorzy: Kaczorek T.

Identyfikatory

DOI

10.2478/aee-2013-0045

• Języki publikacji: EN

Abstrakty

EN

Necessary and sufficient conditions for the reachability and observability of the positive electrical circuits composed of resistors, coils, condensators and voltage sources are established. Definitions of the input-decoupling zeros, output-decoupling zeros and input-output decoupling zeros of the positive electrical circuits are proposed. Some properties of the decoupling zeros of positive electrical circuits are discussed.

Słowa kluczowe

EN

decoupling zeros; positive; continuous-time; linear system; observability; reachability

• Wydawca: Polish Academy of Sciences, Committee on Electrical Engineering
• Czasopismo: Archives of Electrical Engineering
• Rocznik: 2013
• Tom: Vol. 62, nr 4
• Strony: 553--568
• Opis fizyczny: Bibliogr. 17 poz., rys., wz.

Twórcy

autor

Kaczorek T.

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

Bibliografia

• [1] Antsaklis P.J., Michel A.N., Linear Systems. Birkhauser, Boston (2006).
• [2] Farina L., Rinaldi, S. Positive Linear Systems; Theory and Applications. J. Wiley, New York (2000).
• [3] Kaczorek T., Positive 1D and 2D systems. Springer Verlag, London (2001).
• [4] Kaczorek T., Linear Control Systems. Vol. 1, J. Wiley, New York 1993.
• [5] Kaczorek T., Decomposition of the pairs (A,B) and (A,C) of the positive discrete-time linear systems. Archives of Control Sciences 20(3): 341-361 (2010).
• [6] Kaczorek T., Decoupling zeros of positive discrete-time linear systems. Circuit and Systems 1: 41-48 (2010).
• [7] Kaczorek T., Positivity and reachability of fractional electrical circuits. Acta Mechanicata et Automatica 5(2): 42-51 (2011).
• [8] Kailath T., Linear Systems. Prentice-Hall, Englewood Cliffs, New York (1980).
• [9] Kalman R.E., Mathematical Descriptions of Linear Systems. SIAM J. Control 1: 152-192 (1963).
• [10] Kalman R.E., On the General Theory of Control Systems. Proc. Of the First Intern. Congress on Automatic Control, Butterworth, London, pp. 481-493 (1960).
• [11] Rosenbrock H.H., Comments on poles and zeros of linear multivariable systems: a survey of the algebraic geometric and complex variable theory. Intern. J. Control. 26(1): 157-161 (1977).
• [12] Rosenbrock H.H., State-Space and Multivariable Theory. J. Wiley, New York (1970).
• [13] Tokarzewski J., Finite zeros of positive linear discrete-time systems. Bull. Pol. Acad. Sci. Tech. 59(3): 287-292 (2011).
• [14] Tokarzewski J., Finite zeros of positive continuous-time systems. Bull. Pol. Acad. Sci. Tech. 59(3): 293-298 (2011).
• [15] Tokarzewski J., Finite Zeros in Discrete-Time Control Systems. Springer-Verlag, Berlin (2006).
• [16] Wolovich W.A., Linear Multivariable Systems, Springer-Verlag New York (1974).
• [17] Valcher M.E., On the initial stability and asymptotic behavior of 2D positive systems, IEEE Trans. on Circuits and Systems – I, 44(7): 602-613 (1977).