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

• Autorzy: Kaczorek T.
• Konferencja: Computer Applications in Electrical Engineering 2013 (15-16.04.2013; Poznań, Polska)
• 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

continuous-time linear systems; discrete-time linear systems

• Wydawca: Wydawnictwo Politechniki Poznańskiej
• Czasopismo: Poznan University of Technology Academic Journals. Electrical Engineering
• Rocznik: 2013
• Tom: No. 73
• Strony: 9--20
• Opis fizyczny: Bibliogr. 8 poz., rys.

Twórcy

autor

Kaczorek T.

• Białystok University of Technology

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 lineart stystems 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 ID and 2D Systems, Springer Verlag, London, 2002.