Minimal realization for positive multivariable linear systems with delay

• Autorzy: Tadeusz Kaczorek , Mikołaj Busłowicz
• 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

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

• Wydawca: University of Zielona Gora Press
• Czasopismo: International Journal of Applied Mathematics and Computer Science
• Rocznik: 2004
• Tom: 14
• Numer: 2
• Strony: 181-187

Daty

wydano

2004

otrzymano

2004-03-23

Twórcy

autor

Tadeusz Kaczorek

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

autor

Mikołaj Busłowicz

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

Bibliografia

• Benvenuti L. and Farina L. (2003): A tutorial on the positive realization problem. - IEEE Trans. Automat. Contr. (in press).
• Busłowicz M. (1982): Explicit solution of discrete-delay equations. - Found. Contr. Eng., Vol. 7, No. 2, pp. 67-71.
• 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 CD-ROM).
• Farina L. and Rinaldi S. (2000): Positive Linear Systems; Theory andApplications. - New York: Wiley.
• Kaczorek T. (2002): Positive 1D and 2D Systems. - London: Springer.
• Kaczorek T. (2003): Some recent developments in positive systems. - Proc. 7-th Conf. Dynamical Systems Theory and Applications, Łódź, Poland, pp. 25-35.
• 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 Santisand L. Farina, Eds.). - Berlin: Springer, pp. 377-384.