Minimal realization for positive multivariable linear systems with delay

• Autorzy: Kaczorek T. , Busłowicz M.
• Języki publikacji: EN

Abstrakty

EN

The realization problem for positive multivariable discrete-time systems with one time delay is formulated and solved. Conditions for the solvability of the realization problem are established. A procedure for the computation of a minimal positive realization of a proper rational matrix is presented and illustrated by an example.

Słowa kluczowe

EN

positive realization; discrete-time system; time delay; existence; computation

PL

realizacja dodatnia; system czasu dyskretnego; czas opóźnienia

• Wydawca: Oficyna Wydawnicza Uniwersytetu Zielonogórskiego
• Czasopismo: International Journal of Applied Mathematics and Computer Science
• Rocznik: 2004
• Tom: Vol. 14, no 2
• Strony: 181--187
• Opis fizyczny: Bibliogr. 7 poz.

Twórcy

autor

Kaczorek T.

• Białystok Technical University, Faculty of Electrical Engineering, ul. Wiejska 45D, Białystok, Poland

autor

Busłowicz M.

• Białystok Technical University, Faculty of Electrical Engineering, ul. Wiejska 45D, Białystok, Poland

Bibliografia

• [1] Benvenuti L. and Farina L. (2003): A tutorial on the positive realization problem. — IEEE Trans. Automat. Contr. (in press).
• [2] Busłowicz M. (1982): Explicit solution of discrete-delay equations.— Found. Contr. Eng., Vol. 7, No. 2, pp. 67–71.
• [3] Busłowicz M. and Kaczorek T. (2004): Reachability and minimum energy control of positive linear discrete-time systems with one delay. — Proc. 12-th Mediterranean Conf. Control and Automation, Kasadasi, Izmir, Turkey (on CDROM).
• [4] Farina L. and Rinaldi S. (2000): Positive Linear Systems; Theory and Applications.—New York: Wiley.
• [5] Kaczorek T. (2002): Positive 1D and 2D Systems. — London: Springer.
• [6] Kaczorek T. (2003): Some recent developments in positive systems. — Proc. 7-th Conf. Dynamical Systems Theory and Applications, Łódź, Poland, pp. 25–35.
• [7] Xie G. and Wang L. (2003): Reachability and controllability of positive linear discrete-time systems with time-delays, In: Positive Systems (L. Benvenuti, A. De Santis and L. Farina, Eds.).—Berlin: Springer, pp. 377–384.