Fractional Positive Continuous-Time Linear Systems and Their Reachability
By: Tadeusz Kaczorek
Open Access
|Jun 2008References
- Engheta N. (1997). On the role of fractional calculus in electromagnetic theory,39(4): 35-46.
- Farina L.and Rinaldi S. (2000)., J. Wiley, New York.
- Ferreira N.M.F. and Machado J.A.T. (2003). Fractional-order hybrid control of robotic manipulators,, pp. 393-398.
- Gałkowski K. and Kummert A. (2005). Fractional polynomials and nD systems,, CD-ROM.
- Kaczorek T. (2002)., Springer-Verlag, London.
- Kaczorek T. (2006). Computation of realizations of discrete-time cone systems,54(3): 347-350.
- Kaczorek T. (2007a). Reachability and controllability to zero of positive fractional discrete-time systems,6(4), (in press).
- Kaczorek T. (2007b). Reachability and controllability to zero of cone fractional linear systems,17(3): 357-367.
- Klamka J. (2002). Positive controllability of positive dynamical systems,, AL, CD-ROM.
- Klamka J. (2005). Approximate constrained controllability of mechanical systems,43(3): 539-554.
- Miller K.S. and B. Ross (1993)., Willey, New York.
- Moshrefi-Torbati M. and K. Hammond (1998). Physical and geometrical interpretation of fractional operators,(6): 1077-1086.
- Nishimoto K. (1984)., Koriyama: Decartes Press.
- Oldham K.B. and J. Spanier (1974)., New York: Academic Press.
- Ortigueira M.D. (1997). Fractional discrete-time linear systems,, Vol. 3, pp. 2241-2244.
- Ostalczyk P. (2000). The non-integer difference of the discrete-time function and its application to the control system synthesis,31(12): 1551-1561.
- Ostalczyk P. (2004a). Fractional-order backward difference equivalent forms Part I — Horner's form,, pp. 342-347.
- Ostalczyk P. (2004b), Fractional-order backward difference equivalent forms Part II—Polynomial Form., pp. 348-353.
- Oustalup A. (1993)., Paris, Hermès.
- Oustalup A. (1995)., Paris: Hermès.
- Podlubny I. (1999)., San Diego: Academic Press.
- Podlubny I. (2002). Geometric and physical interpretation of fractional integration and fractional differentation,5(4): 367-386.
- Podlubny I., L. Dorcak and I. Kostial (1997). On fractional derivatives, fractional order systems and PIλDμ-controllers,, pp. 4985-4990.
- Reyes-Melo M.E., J.J. Martinez-Vega C.A. Guerrero-Salazar and U. Ortiz-Mendez (2004). Modelling and relaxation phenomena in organic dielectric materials. Application of differential and integral operators of fractional order,6(3): 1037-1043.
- Riu D., N. Retiére and M. Ivanes (2001). Turbine generator modeling by non-integer order systems,, pp. 185-187.
- Samko S. G., A.A. Kilbas and O.I. Marichev (1993).London: Gordon and Breach.
- Sierociuk D. and D. Dzieliński (2006). Fractional Kalman filter algorithm for the states, parameters and order of fractional system estimation,16(1): 129-140.
- Sjöberg M. and L. Kari (2002). Non-linear behavior of a rubber isolator system using fractional derivatives,37(3): 217-236.
- Vinagre M., C. A. Monje and A.J. Calderon (2002). Fractional order systems and fractional order control actions.
- Vinagre M. and V. Feliu (2002) Modeling and control of dynamic systems using fractional calculus: Application to electrochemical processes and flexible structures,, pp. 214-239.
- Zaborowsky V. and R. Meylaov (2001). Informational network traffic model based on fractional calculus,, Vol. 1, pp. 58-63.
Language: English
Page range: 223 - 228
Published on: Jun 16, 2008
Published by: University of Zielona Góra
In partnership with: Paradigm Publishing Services
Publication frequency: 4 issues per year
Keywords:
Related subjects:
© 2008 Tadeusz Kaczorek, published by University of Zielona Góra
This work is licensed under the Creative Commons License.