Comparison of approximation methods of positive stable continuous-time linear systems by positive stable discrete-time systems

• Autorzy: Kaczorek T.
• Języki publikacji: EN

Abstrakty

EN

The positive asymptotically stable continuous-time linear systems are approximated by corresponding asymptotically stable discrete-time linear systems. Two methods of the approximation are presented and the comparison of the methods is addressed. The considerations are illustrated by three numerical examples and an example of positive electrical circuit.

Słowa kluczowe

EN

comparison; approximation method; positive; stable; continuous-time; discrete-time; linear system

• Wydawca: Wydawnictwo Politechniki Poznańskiej
• Czasopismo: Computer Applications in Electrical Engineering
• Rocznik: 2013
• Tom: Vol. 11
• Strony: 1--10
• Opis fizyczny: Bibliogr. 8 poz., rys.

Twórcy

autor

Kaczorek T.

• Białystok University of Technology 15-351 Białystok, Wiejska 45A

Bibliografia

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• [2] Busłowicz M., Stability of linear continuous-time fractional order systems with delays of the retarded type, Bull. Pol. Acad. Sci. Techn., vol. 56, no. 4, 2008, 319-324.
• [3] Busłowicz M., Stability analysis of continuous-time linear systems consisting of n subsystems with different fractional orders, Bull. Pol. Acad. Sci. Techn., vol. 60, no. 2, 2012, 279-284.
• [4] Busłowicz M., Kaczorek T., Simple conditions for practical stability of positive fractional discrete-time linear systems Int. J. Appl. Math. Comput. Sci., vol. 19, no. 2, 2009, 263-169.
• [5] Farina L., Rinaldi S., Positive Linear Systems; Theory and Applications, J. Wiley, New York, 2000.
• [6] Gantmakher F.R., Theory of Matrices, Chelsea Pub. Co., New York, 1959.
• [7] Kaczorek T., Approximation of positive stable continuous-time linear systems by positive stable discrete-time systems, Pomiary Automatyka Robotyka, no. 2, 2013 (in Press).
• [8] Kaczorek T., Positive 1D and 2D Systems, Springer Verlag, London, 2002.