Realization problem for a class of positive continuous-time systems with delays

Tadeusz Kaczorek

International Journal of Applied Mathematics and Computer Science (2005)

  • Volume: 15, Issue: 4, page 447-453
  • ISSN: 1641-876X

Abstract

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The realization problem for a class of positive, continuous-time linear SISO systems with one delay is formulated and solved. Sufficient conditions for the existence of positive realizations of a given proper transfer function are established. A procedure for the computation of positive minimal realizations is presented and illustrated by an example.

How to cite

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Kaczorek, Tadeusz. "Realization problem for a class of positive continuous-time systems with delays." International Journal of Applied Mathematics and Computer Science 15.4 (2005): 447-453. <http://eudml.org/doc/207756>.

@article{Kaczorek2005,
abstract = {The realization problem for a class of positive, continuous-time linear SISO systems with one delay is formulated and solved. Sufficient conditions for the existence of positive realizations of a given proper transfer function are established. A procedure for the computation of positive minimal realizations is presented and illustrated by an example.},
author = {Kaczorek, Tadeusz},
journal = {International Journal of Applied Mathematics and Computer Science},
keywords = {computation; continuous-time system; delay; positive realization; existence},
language = {eng},
number = {4},
pages = {447-453},
title = {Realization problem for a class of positive continuous-time systems with delays},
url = {http://eudml.org/doc/207756},
volume = {15},
year = {2005},
}

TY - JOUR
AU - Kaczorek, Tadeusz
TI - Realization problem for a class of positive continuous-time systems with delays
JO - International Journal of Applied Mathematics and Computer Science
PY - 2005
VL - 15
IS - 4
SP - 447
EP - 453
AB - The realization problem for a class of positive, continuous-time linear SISO systems with one delay is formulated and solved. Sufficient conditions for the existence of positive realizations of a given proper transfer function are established. A procedure for the computation of positive minimal realizations is presented and illustrated by an example.
LA - eng
KW - computation; continuous-time system; delay; positive realization; existence
UR - http://eudml.org/doc/207756
ER -

References

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  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. Buslowicz M. (1982): Explicit solution of discrete-delay equations. - Found. Contr. Eng., Vol. 7, No. 2, pp. 67-71. Zbl0526.34065
  3. 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,i Kasadasi, Izmir, Turkey, (on CD-ROM). Zbl1140.93450
  4. Farina L. and Rinaldi S.(2000): Positive Linear Systems, Theory and Applications. - New York: Wiley. Zbl0988.93002
  5. Kaczorek T. (2002): Positive 1D and 2D Systems. - London: Springer. Zbl1005.68175
  6. 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
  7. 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. Zbl1076.93010
  8. 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 Santis and L. Farina, Eds.). - Berlin: Springer, pp. 377-384. Zbl1067.93006

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