Reachability and controllability of positive fractional discrete-time systems with delay

• Autorzy: Trzasko W.
• Języki publikacji: EN

Abstrakty

EN

In the paper the positive fractional discrete-time linear systems with delay described by the state equations are considered. The solution to the state equations is derived using the Z transform. Necessary and sufficient conditions are established for the positivity, reachability and controllability to zero for fractional systems with one delay in state. The considerations are illustrated by an example.

Słowa kluczowe

EN

fractional; positive discrete-time; linear system; reachability; controllability to zero

• Wydawca: Łukasiewicz Industrial Research Institute for Automation and Measurements PIAP
• Czasopismo: Journal of Automation Mobile Robotics and Intelligent Systems
• Rocznik: 2008
• Tom: Vol. 2, No. 3
• Strony: 43--47
• Opis fizyczny: Bibliogr. 12 poz., rys.

Twórcy

autor

Trzasko W.

• Białystok Technical University, Faculty of Electrical Engineering, Wiejska 45D, 15-351 Białystok,

Bibliografia

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• [9] Trzasko W., Kociszewski R., "Controllability of positive discrete-time systems with delays in state and control". In: Proceedings 15th National Conference of Automatics, Warsaw, 2005, vol. 2, pp. 127-130 (in Polish).
• [10] Zhang X., „Some results of linear fractional order time-delay system", Appl. Math. Comput, 2007 (in press).
• [11] Xie G., Wang L, "Reachability and controllability of positive linear discrete-time systems with time-delays". In: Positive Systems (Benvenuti, De Santis and Farina (Eds.), Springer-Verlag, Berlin Heidelberg, 2003, pp. 377-384.
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