Independence of the controllability and observability of resistances in linear electrical circuits


  • Tadeusz Kaczorek Bialystok University of Technology



independence, controllability, observability, resistance, linear, electrical circuit


Sufficient conditions are given under which the controllability and observability of linear electrical circuits is independent of their resistances. In some particular cases the observability depends only on the capacitances or inductances of the electrical circuits.


Antsaklis P.J., Michel A.N, Linear Systems, Birkhauser, Boston, 2006.

Farina L., Rinaldi S., Positive Linear Systems; Theory and Applications, J. Wiley, New York, 2000.

Kaczorek T., Linear Control Systems, Vol. 1, J. Wiley, New York, 1993.

Kaczorek T., Positive 1D and 2D systems, Springer-Verlag, London, 2001.

Kaczorek T., Reachability and controllability to zero tests for standard and positive fractional discrete-time systems, Journal Europeen des Systemes Automatises, JESA, vol. 42, no. 6-8, 2008, pp. 770-781

Kaczorek T., Selected Problems of Fractional Systems Theory, Springer-Verlag, Berlin, 2012.

Kaczorek T., Rogowski K., Fractional Linear Systems and Electrical Circuits, Studies in Systems, Decision and Control, vol. 13, Springer, 2015.

Kailath T., Linear Systems, Prentice-Hall, Englewood Cliffs, New York, 1980.

Kalman R.E., Mathematical Descriptions of Linear Systems, SIAM J. Control, vol. 1, 1963, pp. 152-192.

Kalman R.E, On the General Theory of Control Systems, Proc. Of the First Intern. Congress on Automatic Control, Butterworth, London, 1960, pp. 481-493.

Klamka J., Controllability of Dynamical Systems, Kluwer Academic Publ., Dordrecht, 1991.

Rosenbrock H., State-Space and Multivariable Theory, J. Wiley, New York, 1970.

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