Realization problem for singular positive single-input single-output continuous-time systems with delays in state and in inputs

• Autorzy: Kaczorek T.
• Języki publikacji: EN

Abstrakty

EN

The positive realization problem for singular continuous-time linear single-input single-output systems with delays in state and in inputs is addressed. The notion of canonical forms of matrices are extended for singular linear systems with delays. Necessary and sufficient conditions for positivity of the singular continuous-time systems with delays and sufficient conditions for the existence of a positive singular realization are established. A procedure for computation of a positive singular realization of a given transfer function is proposed and illustrated by a numerical example.

Słowa kluczowe

EN

controllability; linear systems; continuous-time systems

PL

sterowanie; systemy liniowe

• Wydawca: Oficyna Wydawnicza Politechniki Białostockiej
• Czasopismo: Acta Mechanica et Automatica
• Rocznik: 2008
• Tom: Vol. 2, no. 2
• Strony: 45--50
• Opis fizyczny: Bibliogr. 13 poz.

Twórcy

autor

Kaczorek T.

• Bialystok Technical University, Faculty of Electrical Engineering,ul. Wiejska 45D, 15-351 Bialystok,

Bibliografia

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• 5. Kaczorek T. (2004), Realization problem for positive multivariable linear systems with time-delay, Proc. Int. Workshop Computational Problems of Electrical Engineering, Zakopane , pp. 186-192.
• 6. Kaczorek T. (2002), Positive 1D and 2D Systems, Springer- Verlag, London.
• 7. Kaczorek T. (2003), Some recent developments in positive systems, Proc. 7th Conference of Dynamical Systems Theory and Applications, pp. 25-35, Łódź.
• 8. Kaczorek T. (2004), Realization problem for positive discrete-time systems with delay, System Science, vol. 30, No. 4, pp. 117-130.
• 9. Kaczorek T. (2005), Positive minimal realizations for singular discrete-time systems with one delay in state and one delay in control. Bull. Pol. Acad. Sci. Techn., vol 52, No 3, pp. 293-298.
• 10. Kaczorek T. (2005), Realization problem for a class of positive continuous-time systems with delays, Int. J. Appl. Math. Comp. Sci., vol. 15, No. 4, pp. 101-107.
• 11. Kaczorek T. (2005), Reachability and minimum energy control of positive discrete-time linear systems with multiple delay in state and control, 44th IEEE CDC-ECC’05.
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