Minimum energy control of fractional positive continuous-time linear systems with bounded inputs
By: Tadeusz Kaczorek
References
- Busłowicz, M. (2008). Stability of linear continuous time fractional order systems with delays of the retarded type,(4): 319–324.
- Dzieliński, A., Sierociuk, D. and Sarwas, G. (2009). Ultracapacitor parameters identification based on fractional order model,.
- Dzieliński, A. and Sierociuk, D. (2008). Stability of discrete fractional order state-space systems,(9/10): 1543–1556.
- Farina, L. and Rinaldi, S. (2000)., J. Wiley, New York, NY.
- Kaczorek, T. (1992)., Research Studies Press and J. Wiley, New York, NY.
- Kaczorek, T. (2001)., Springer-Verlag, London.
- Kaczorek, T. (2008a). Fractional positive continuous-time systems and their reachability,(2): 223–228, DOI: 10.2478/v10006-008-0020-0.
- Kaczorek, T. (2008b). Practical stability of positive fractional discrete-time linear systems,(4): 313–317.
- Kaczorek, T. (2008c). Reachability and controllability to zero tests for standard and positive fractional discrete-time systems,(6–8): 769–787.
- Kaczorek, T. (2009). Asymptotic stability of positive fractional 2D linear systems,(3): 289–292.
- Kaczorek, T. (2011a). Controllability and observability of linear electrical circuits,(9a): 248–254.
- Kaczorek, T. (2011b). Positivity and reachability of fractional electrical circuits,(2): 42–51.
- Kaczorek, T. (2011c). Positive linear systems consisting ofsubsystems with different fractional orders,(6): 1203–1210.
- Kaczorek, T. (2011d). Checking of the positivity of descriptor linear systems by the use of the shuffle algorithm,(3): 287–298.
- Kaczorek, T. (2012)., Springer-Verlag, Berlin.
- Kaczorek, T. (2013a). Minimum energy control of fractional positive continuous-time linear systems,.
- Kaczorek, T. (2013c). Minimum energy control of positive discrete-time linear systems with bounded inputs,(2): 205–211.
- Kaczorek, T. (2013d). Minimum energy control of positive continuous-time linear systems with bounded inputs,(4): 725–730, DOI: 10.2478/amcs-2013-0054.
- Kaczorek, T. (2014a). Minimum energy control of descriptor positive discrete-time linear systems,(3)
- Kaczorek, T. (2014b). An extension of Klamka’s method of minimum energy control to fractional positive discrete-time linear systems with bounded inputs,(2), (in press).
- Kaczorek, T. and Klamka, J. (1986). Minimum energy control of 2D linear systems with variable coefficients,(3): 645–650.
- Klamka, J. (1976a). Relative controllability and minimum energy control of linear systems with distributed delays in control,(4): 594–595.
- Klamka, J. (1976b). Relative controllability and minimum energy control of linear systems with distributed delays in control,(4): 594–595.
- Klamka, J. (1977). Minimum energy control of discrete systems with delays in control,(5): 737–744.
- Klamka, J. (1983). Minimum energy control of 2D systems in Hilbert spaces,(1–2): 33–42.
- Klamka, J. (1991)., Kluwer Academic Press, Dordrecht.
- Klamka, J. (2010). Controllability and minimum energy control problem of fractional discrete-time systems,D. Baleanu, Z.B. Guvenc and J.A. Tenreiro Machado (Eds.),, Springer-Verlag, New York, NY, pp. 503–509.
- Oldham, K.B. and Spanier, J. (1974)., Academic Press, New York, NY.
- Ostalczyk, P. (2008)., Technical University of Łódź Press, Łódź, (in Polish).
- Podlubny, I. (1999)., Academic Press, San Diego, CA.
- Radwan, A.G., Soliman, A.M., Elwakil, A.S. and Sedeek, A. (2009). On the stability of linear systems with fractional-order elements,(5): 2317–2328.
- Solteiro Pires, E.J., Tenreiro Machado, J.A. and Moura Oliveira, P.B. (2006). Fractional dynamics in genetic algorithms,, Vol. 2, pp. 414–419.
- Vinagre, B.M. (2002). Fractional order systems and fractional order control actions,, TW#2, Lecture 3.
Language: English
Page range: 335 - 340
Submitted on: Aug 24, 2013
Published on: Jun 26, 2014
Published by: University of Zielona Góra
In partnership with: Paradigm Publishing Services
Publication frequency: 4 issues per year
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© 2014 Tadeusz Kaczorek, published by University of Zielona Góra
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.