Computation of initial conditions and inputs for given outputs of fractional and positive discrete-time linear systems

• Autorzy: Kaczorek T.
• Języki publikacji: EN

Abstrakty

EN

The problem of computation of initial conditions and inputs for given outputs of fractional standard and positive discrete-time linear systems is formulated and solved. Necessary and sufficient conditions for existence of solution to the problem are established. It is shown that there exist the unique solutions to the problem only if the pair (A, C) of the system is observable.

Słowa kluczowe

EN

computation; initial condition; observability; positive; discrete-time; linear; system

• Wydawca: Polish Academy of Sciences, Committee of Automatic Control and Robotics
• Czasopismo: Archives of Control Sciences
• Rocznik: 2012
• Tom: Vol. 22, no. 2
• Strony: 145--159
• Opis fizyczny: Bibliogr. 15 poz., wzory

Twórcy

autor

Kaczorek T.

• Faculty of Electrical Engineering, Bialystok University of Technology, Wiejska 45D, 15-351 Bialystok, Poland,

Bibliografia

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• [2] L. Farina and S. Rinaldi: Positive Linear Systems; Theory and Applications. J. Wiley, New York, 2000.
• [3] T. Kaczorek: Positive 1D and 2D systems. Springer Verlag, London 2001.
• [4] T. Kaczorek: Decomposition of the pairs (A, B) and (A, C) of the positive discrete-time linear systems. Archives of Control Sciences, 20(3), (2010), 253-273.
• [5] T. Kaczorek: Vectors and Matrices in Automation and Electrotechnics. WNT, Warszawa, 1998, (in Polish).
• [6] T. Kaczorek: Linear Control Systems. Vol. 1, J. Wiley, New York, 1993.
• [7] T. Kaczorek: Computation of initial conditions and inputs for given output of standard and positive discrete-time linear systems. Computational Problems of Electrical Engineering, 2(1), (2012), (in press).
• [8] T. Kaczorek: Selected Problems of Fractional System Theory. Spronger-Verlag, Berlin, 2011.
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