Minimal realization for positive multivariable linear systems with delay
Kaczorek, Tadeusz ; Busłowicz, Mikołaj
International Journal of Applied Mathematics and Computer Science, Tome 14 (2004), p. 181-187 / Harvested from The Polish Digital Mathematics Library

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.

Publié le : 2004-01-01
EUDML-ID : urn:eudml:doc:207689
@article{bwmeta1.element.bwnjournal-article-amcv14i2p181bwm,
     author = {Kaczorek, Tadeusz and Bus\l owicz, Miko\l aj},
     title = {Minimal realization for positive multivariable linear systems with delay},
     journal = {International Journal of Applied Mathematics and Computer Science},
     volume = {14},
     year = {2004},
     pages = {181-187},
     zbl = {1076.93010},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-amcv14i2p181bwm}
}
Kaczorek, Tadeusz; Busłowicz, Mikołaj. Minimal realization for positive multivariable linear systems with delay. International Journal of Applied Mathematics and Computer Science, Tome 14 (2004) pp. 181-187. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-amcv14i2p181bwm/

[000] Benvenuti L. and Farina L. (2003): A tutorial on the positive realization problem. - IEEE Trans. Automat. Contr. (in press). | Zbl 1249.93036

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

[002] 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). | Zbl 1140.93450

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

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

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

[006] 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. | Zbl 1067.93006