Realization problem for a class of positive continuous-time systems with delays

• Autorzy: Tadeusz Kaczorek
• Języki publikacji: EN

Abstrakty

EN

The realization problem for a class of positive, continuous-time linear SISO systems with one delay is formulated and solved. Sufficient conditions for the existence of positive realizations of a given proper transfer function are established. A procedure for the computation of positive minimal realizations is presented and illustrated by an example.

Słowa kluczowe

EN

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

• Wydawca: University of Zielona Gora Press
• Czasopismo: International Journal of Applied Mathematics and Computer Science
• Rocznik: 2005
• Tom: 15
• Numer: 4
• Strony: 447-453

Daty

wydano

2005

otrzymano

2005-06-01

poprawiono

2005-09-01

Twórcy

autor

Tadeusz Kaczorek

• Warsaw University of Technology, Institute of Control and Industrial Electronics, Koszykowa 75, 00-662 Warszawa, Poland

Bibliografia

• Benvenuti L. and Farina L. (2004): A tutorial on the positive realization problem. - IEEE Trans. Automat. Contr., Vol. 49, No. 5, pp. 651-664.
• Buslowicz M. (1982): Explicit solution of discrete-delay equations. - Found. Contr. Eng., Vol. 7, No. 2, pp. 67-71.
• Buslowicz 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,i Kasadasi, Izmir, Turkey, (on CD-ROM).
• Farina L. and Rinaldi S.(2000): Positive Linear Systems, Theory and Applications. - 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.
• Kaczorek T. and Buslowicz M. (2004): Minimal realization for positive multivariable linear systems with delay. - Int. J. Appl. Math. Comput. Sci., Vol. 14, No. 2, pp. 181-187.
• 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.