Positive stable realizations of fractional continuous-time linear systems

Benvenuti, L. and Farina, L. (2004). A tutorial on the positive realization problem, IEEE Transactions on Control 49(5): 651-664.10.1109/TAC.2004.826715Search in Google Scholar

Farina, L. and Rinaldi, S. (2000). Positive Linear Systems, Theory and Applications, J. Wiley, NewYork, NY.Search in Google Scholar

Kaczorek, T. (1992). Linear Control Systems, Vol. 1, Research Studies Press, J. Wiley, New York, NY.Search in Google Scholar

Kaczorek, T. (2002). Positive 1D and 2D Systems, Springer-Verlag, London.10.1007/978-1-4471-0221-2Search in Google Scholar

Kaczorek, T. (2004). Realization problem for positive discretetime systems with delay, System Science 30(4): 117-130.Search in Google Scholar

Kaczorek, T. (2005). Positive minimal realizations for singular discrete-time systems with delays in state and delays in control, Bulletin of the Polish Academy of Sciences: Technical Siences 53(3): 293-298.Search in Google Scholar

Kaczorek, T. (2006a). A realization problem for positive continuous-time systems with reduced numbers of delays, International Journal of Applied Mathematics and Computer Science 16 (3): 325-331.Search in Google Scholar

Kaczorek, T. (2006b). Computation of realizations of discretetime cone systems, Bulletin of the Polish Academy of Sciences: Technical Siences 54(3): 347-350.Search in Google Scholar

Kaczorek, T. (2006c). Realization problem for positive multivariable discrete-time linear systems with delays in the state vector and inputs, International Journal of Applied Mathematics and Computer Science 16(2): 169-174.Search in Google Scholar

Kaczorek, T. (2008a). Fractional positive continuous-time linear systems and their reachability, International Journal of Applied Mathematics and Computer Science 18(2): 223-228, DOI: 10.2478/v10006-008-0020-0.10.2478/v10006-008-0020-0Search in Google Scholar

Kaczorek, T. (2008b). Realization problem for fractional continuous-time systems, Archives of Control Sciences 18(1): 43-58.Search in Google Scholar

Kaczorek, T. (2008c). Realization problem for positive 2D hybrid systems, COMPEL 27(3): 613-623.10.1108/03321640810861061Search in Google Scholar

Kaczorek, T. (2009a). Fractional positive linear systems, Kybernetes: The International Journal of Systems & Cybernetics 38 (7/8): 1059-1078.10.1108/03684920910976826Search in Google Scholar

Kaczorek, T. (2009b). Polynomial and Rational Matrices, Springer-Verlag, London.Search in Google Scholar

Kaczorek, T. (2011). Selected Problems in Fractional Systems Theory, Springer-Verlag, Berlin.10.1007/978-3-642-20502-6Search in Google Scholar

Kilbas, A. A., Srivastava, H. M. and Trujillo, J. J. (2006). Theory and Applications of Fractional Differential Equations, North-Holland, Amsterdam.Search in Google Scholar

Podlubny, I. (1999). Fractional Differential Equations, Academic Press, San Diego, CA.Search in Google Scholar

Shaker, U. and Dixon, M. (1977). Generalized minimal realization of transfer-function matrices, International Journal of Control 25(5): 785-803.10.1080/00207177708922269Search in Google Scholar