A realization problem for positive continuoustime systems with reduced numbers of delays
Kaczorek, Tadeusz
International Journal of Applied Mathematics and Computer Science, Tome 16 (2006), p. 325-331 / Harvested from The Polish Digital Mathematics Library
Access to full text
Full (PDF)

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.

Publié le : 2006-01-01
EUDML-ID : urn:eudml:doc:207796 
@article{bwmeta1.element.bwnjournal-article-amcv16i3p325bwm,
     author = {Kaczorek, Tadeusz},
     title = {A realization problem for positive continuoustime systems with reduced numbers of delays},
     journal = {International Journal of Applied Mathematics and Computer Science},
     volume = {16},
     year = {2006},
     pages = {325-331},
     zbl = {1136.93317},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-amcv16i3p325bwm}
}

Kaczorek, Tadeusz. A realization problem for positive continuoustime systems with reduced numbers of delays. International Journal of Applied Mathematics and Computer Science, Tome 16 (2006) pp. 325-331. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-amcv16i3p325bwm/

[000] Benvenuti L. and Farina L. (2004): A tutorial on the positive realization problem. - IEEE Trans. Automat. Contr., Vol. 49, No. 5, pp. 651-664.

[001] Buslowicz M. (1982): Explicit solution of discrete-delay equations.- Found. Contr. Eng., Vol. 7, No. 2, pp. 67-71. | Zbl 0526.34065

[002] 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, Kasadasi, Izmir, Turkey, (on CD-ROM). | Zbl 1140.93450

[003] Farina L. and Rinaldi S. (2000): Positive Linear Systems. Theory and Applications.- New York: Wiley. | Zbl 0988.93002

[004] Galkowski K. (2001): State-Space Realizations of Linear 2D Systems with Extension to the General nD (n>2) Case. - Berlin: Springer.

[005] Kaczorek T. (2002): Positive 1D and 2D Systems. - London: Springer. | Zbl 1005.68175

[006] Kaczorek T. (2003): Some recent developments in positive systems. - Proc. 7-th Conf. Dynamical Systems Theory and Applications, Lodz, Poland, pp. 25-35. | Zbl 1060.93057

[007] Kaczorek T. (2004): Realization problem for positive discrete-time systems with delay. - Syst. Sci., Vol. 30, No. 4, pp. 117-130.

[008] Kaczorek T. (2005a): Realization problem for positive continuous-timesystems with delays. - Int. J. Comput. Intelligence and Appl., June 5, pp. 1-10.

[009] Kaczorek T. (2005b): Realization problem for positive multivariable continuous-time systems with delays. - IEEE Trans. Automat. Contr., (submitted). | Zbl 1127.93021

[010] 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. | Zbl 1076.93010

[011] Kaczorek T. and Buslowicz M. (2006): Reachability and minimum energy control of positive discrete-time linear systems with multiple delay in state and control. - Pomiary, Automatyka, Kontrola, PAK 78, pp. 31-33.

[012] 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. | Zbl 1067.93006