A realization problem for positive continuous-time systems with reduced numbers of delays

• Autorzy: Kaczorek T.
• Języki publikacji: EN

Abstrakty

EN

A realization problem for positive, continuous-time linear systems with reduced numbers of delays in state and in control is formulated and solved. Sufficient conditions for the existence of positive realizations with reduced numbers of delays of a given proper transfer function are established. A procedure for the computation of positive realizations with reduced numbers of delays is presented and illustrated by an example.

Słowa kluczowe

EN

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

PL

czas ciągły; opóźnienie; istnienie; obliczanie

• Wydawca: Oficyna Wydawnicza Uniwersytetu Zielonogórskiego
• Czasopismo: International Journal of Applied Mathematics and Computer Science
• Rocznik: 2006
• Tom: Vol. 16, no 3
• Strony: 325--331
• Opis fizyczny: Bibliogr. 13 poz.

Twórcy

autor

Kaczorek T.

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

Bibliografia

• [1] Benvenuti L. and Farina L. (2004): A tutorial on the positive realization problem. - IEEE Trans. Automat. Contr., Vol. 49, No. 5, pp. 651-664.
• [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] Gałkowski K. (2001): State-Space Realizations of Linear 2D Systems with Extension to the General nD (n > 2) Case. - Berlin: Springer.
• [6] Kaczorek T. (2002): Positive 1D and 2D Systems. - London: Springer.
• [7] Kaczorek T. (2003): Some recent developments in positive systems. - Proc. 7-th Conf. Dynamical Systems Theory and Applications, Łód´z, Poland, pp. 25-35.
• [8] Kaczorek T. (2004): Realization problem for positive discretetime systems with delay. - Syst. Sci., Vol. 30, No. 4, pp. 117-130.
• [9] Kaczorek T. (2005a): Realization problem for positive continuous-time systems with delays.-Int. J. Comput. Intelligence and Appl., June 5, pp. 1-10.
• [10] Kaczorek T. (2005b): Realization problem for positive multivariable continuous-time systems with delays. - IEEE Trans. Automat. Contr., (submitted).
• [11] Kaczorek T. and Busłowicz M. (2004): Minimal realization for positive multivariable linear systems with delay. - Int. J. Appl. Math. Comput. Sci., Vol. 14, No. 2, pp. 181-187.
• [12] Kaczorek T. and Busłowicz M. (2006): Reachability and minimum energy control of positive discrete-time linear systems with multiple delay in state and control. - Pomiary, Automatyka, Kontrola, PAK 7/8, pp. 31-33.
• [13] Xie G. and Wang L. (2003): Reachability and controllability of positive linear discrete-time systems with time-delays, In: Positive Systems, (Benvenuti L., De Santis A. and Farina L., Eds.).-LNCIS 294, Berlin: Springer-Verlag, pp. 377-384.