Minimal realization for positive multivariable linear systems with delay
Tadeusz Kaczorek; Mikołaj Busłowicz
International Journal of Applied Mathematics and Computer Science (2004)
- Volume: 14, Issue: 2, page 181-187
- ISSN: 1641-876X
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topKaczorek, Tadeusz, and Busłowicz, Mikołaj. "Minimal realization for positive multivariable linear systems with delay." International Journal of Applied Mathematics and Computer Science 14.2 (2004): 181-187. <http://eudml.org/doc/207689>.
@article{Kaczorek2004,
abstract = {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.},
author = {Kaczorek, Tadeusz, Busłowicz, Mikołaj},
journal = {International Journal of Applied Mathematics and Computer Science},
keywords = {computation; discrete-time system; positive realization; existence; time delay},
language = {eng},
number = {2},
pages = {181-187},
title = {Minimal realization for positive multivariable linear systems with delay},
url = {http://eudml.org/doc/207689},
volume = {14},
year = {2004},
}
TY - JOUR
AU - Kaczorek, Tadeusz
AU - Busłowicz, Mikołaj
TI - Minimal realization for positive multivariable linear systems with delay
JO - International Journal of Applied Mathematics and Computer Science
PY - 2004
VL - 14
IS - 2
SP - 181
EP - 187
AB - 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.
LA - eng
KW - computation; discrete-time system; positive realization; existence; time delay
UR - http://eudml.org/doc/207689
ER -
References
top- Benvenuti L. and Farina L. (2003): A tutorial on the positive realization problem. - IEEE Trans. Automat. Contr. (in press). Zbl1249.93036
- Busłowicz M. (1982): Explicit solution of discrete-delay equations. - Found. Contr. Eng., Vol. 7, No. 2, pp. 67-71. Zbl0526.34065
- 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). Zbl1140.93450
- Farina L. and Rinaldi S. (2000): Positive Linear Systems; Theory andApplications. - New York: Wiley. Zbl0988.93002
- Kaczorek T. (2002): Positive 1D and 2D Systems. - London: Springer. Zbl1005.68175
- Kaczorek T. (2003): Some recent developments in positive systems. - Proc. 7-th Conf. Dynamical Systems Theory and Applications, Łódź, Poland, pp. 25-35. Zbl1060.93057
- 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. Zbl1067.93006
Citations in EuDML Documents
top- Tadeusz Kaczorek, Realization problem for a class of positive continuous-time systems with delays
- Tadeusz Kaczorek, Realization problem for positive multivariable discretetime linear systems with delays in the state vector and inputs
- Tadeusz Kaczorek, A realization problem for positive continuoustime systems with reduced numbers of delays
- Tadeusz Kaczorek, Positive partial realization problem for linear discrete-time systems
- Mai Viet Thuan, Vu Ngoc Phat, Hieu Trinh, Observer-based controller design of time-delay systems with an interval time-varying delay
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