A realization problem for positive continuous-time systems with reduced numbers of delays
International Journal of Applied Mathematics and Computer Science, Tome 16 (2006) no. 3, pp. 325-331.

Voir la notice de l'article provenant de la source Library of Science

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.
Keywords: positive realization, continuous-time system, delay, existence, computation
Mots-clés : czas ciągły, opóźnienie, istnienie, obliczanie
@article{IJAMCS_2006_16_3_a3,
     author = {Kaczorek, T.},
     title = {A realization problem for positive continuous-time systems with reduced numbers of delays},
     journal = {International Journal of Applied Mathematics and Computer Science},
     pages = {325--331},
     publisher = {mathdoc},
     volume = {16},
     number = {3},
     year = {2006},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IJAMCS_2006_16_3_a3/}
}
TY  - JOUR
AU  - Kaczorek, T.
TI  - A realization problem for positive continuous-time systems with reduced numbers of delays
JO  - International Journal of Applied Mathematics and Computer Science
PY  - 2006
SP  - 325
EP  - 331
VL  - 16
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/IJAMCS_2006_16_3_a3/
LA  - en
ID  - IJAMCS_2006_16_3_a3
ER  - 
%0 Journal Article
%A Kaczorek, T.
%T A realization problem for positive continuous-time systems with reduced numbers of delays
%J International Journal of Applied Mathematics and Computer Science
%D 2006
%P 325-331
%V 16
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/item/IJAMCS_2006_16_3_a3/
%G en
%F IJAMCS_2006_16_3_a3
Kaczorek, T. A realization problem for positive continuous-time systems with reduced numbers of delays. International Journal of Applied Mathematics and Computer Science, Tome 16 (2006) no. 3, pp. 325-331. http://geodesic.mathdoc.fr/item/IJAMCS_2006_16_3_a3/

[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.