Встановлено необхідні й достатні умови досяжності й спостережності дробових додатніх неперервних в часі лінійних електричних кіл. Ефективність запропонованих умов демонструється на прикладах електричних кіл.
- P. Antsaklis, A. Michel, Linear Systems, Birkhauser, Boston, 2006.
- M.Busłowicz, “Stability of linear continuous-time fractional order systems with delays of the retarded type”, Bull. Pol. Acad. Sci. Tech., vol. 56, no. 4, pp. 319-324, 2008.
- A. Dzieliński, D.Sierociuk, G.Sarwas, “Ultracapacitor parameters identification based on fractional order model”, in Proc. European Control Conference, Budapest, Hungary, 2009.
- A.Dzieliński, D.Sierociuk, “Stability of discrete fractional order state-space systems”, Journal of Vibrations and Control, vol. 14, no. 9-10, pp. 1543-1556, 2008.
- L.Farina, S.Rinaldi, Positive Linear Systems: Theory and Applications, J. Wiley & Sons, New York, 2000.
- T.Kaczorek, “Asymptotic stability of positive fractional 2D linear systems”, Bull. Pol. Acad. Sci. Tech., vol. 57, no. 3, pp. 289-292, 2009.
- T.Kaczorek, “Decomposition of the pairs (A,B) and (A,C) of the positive discrete-time linear systems”, Archives of Control Sciences, vol. 20, no. 3, pp. 341-361, 2010.
- T.Kaczorek, “Fractional positive continuous-time linear systems and their reachablity”, Int. J. Appl. Math. Comput. Sci., vol. 18, no. 2, pp. 223-228, 2008.
- T.Kaczorek, Positive 1D and 2D Systems, London, UK: Springer-Verlag, 2002.
- T.Kaczorek, “Controllability and observability of linear electrical circuits”, Electrical Review, vol. 87, no. 9a, pp. 248-254, 2011.
- T. Kaczorek, “Decoupling zeros of positive discrete-time linear systems”, Circuits and Systems, vol. 1, pp. 41-48, 2010.
- T. Kaczorek, “Positive electrical circuits and their reachability”, Archives of Electrical Engineering, vol. 60, no. 3, pp. 283-301, 2011 and also Selected classes of positive electrical circuits and their reachability, Monograph Computer Application in Electrical Engineering, Poznan University of Technology, Poznan, Poland, 2012.
- T. Kaczorek, “Positivity and reachability of fractional electrical circuits”, Acta Mechanica et Automatica, vol. 5, no. 2, pp. 42-51, 2011.
- T. Kaczorek, “Positive linear systems consisting of n subsystems with different fractional orders”, IEEE Trans. Circuits and Systems, vol. 58, no. 6, pp. 1203-1210, 2011.
- T. Kaczorek, “Practical stability of positive fractional discrete-time linear systems”, Bull. Pol. Acad. Sci. Tech., vol. 56, no. 4, pp. 313-317, 2008.
- T. Kaczorek, “Reachability and controllability to zero tests for standard and positive fractional discrete-time systems”, Journal Européen des Systemes Automatisés, JESA, vol. 42, no. 6-8, pp. 769-787, 2008.
- Kaczorek, T., “Stability of positive continuous-time systems with delays”, Bull. Pol. Acad. Sci. Tech., vol. 57, no. 4, pp. 395-398, 2009.
- T. Kaczorek, Selected Problems of Fractional Systems Theory, Berlin, Germany: Springer-Verlag, 2011.
- T. Kaczorek, “Constructability and observability of standard and positive electrical circuits”, Electrical Review, vol. 89, no. 7, pp. 132-136, 2013.
- T. Kaczorek, “Reachability and observability of fractional positive continuous-time linear systems”, in Proc. XV Conf. System Modelling and Control, Sept. 23-24, Lodz, Poland, 2013.
- T.Kailath, Linear systems, Prentice Hall, Englewood Cliffs, New York, 1980.
- R.Kalman, “Mathematical Description of Linear Systems”, SIAM J. Control, vol. 1, no. 2, pp. 152-192, 1963.
- R.Kalman, “On the general theory of control systems”, in Proc. First Intern. Congress on Automatic Control, London, UK: Butterworth, pp. 481-493, 1960.
- K.Oldham, J.Spanier, The Fractional Calculus: Integrations and Differentiations of Arbitrary Order, New York, USA: Academic Press, 1974.
- P.Ostalczyk, Epitome of the Fractional Calculus, Theory and its Applications in Automatics, Lodz, Poland: Technical University of Lodz Press, 2008. (Polish)
- I.Podlubny, Fractional Differential Equations, San Diego, USA: Academic Press, 1999.
- H. Rosenbrock, State-space and Multivariable Theory, New York, USA: J. Wiley, 1970.
- J Tokarzewski, ”Finite zeros of positive linear discrete time systems”, Bull. Pol. Acad. Sci. Tech., vol. 59, no. 3, pp. 287-292, 2011.
- J.Tokarzewski, “Finite zeros of positive continuous-time systems”, Bull. Pol. Acad. Sci. Tech., vol. 59, no. 3, pp. 293-298, 2011.
- J Tokarzewski, Finite Zeros in Discrete Time Control Systems, Berlin, Germany: Springer-Verlag, 2006.
- W. Wolovich, Linear Multivariable Systems, New York, UAS: Springer-Verlag, 1974.