A modified state variable diagram method for determination of positive realizations of linear continuous-time systems with delays

Tadeusz Kaczorek

International Journal of Applied Mathematics and Computer Science (2012)

  • Volume: 22, Issue: 4, page 897-905
  • ISSN: 1641-876X

Abstract

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A new modified state variable diagram method is proposed for determination of positive realizations of linear continuoustime systems with delays in state and input vectors. Using the method, it is possible to find a positive realization with reduced numbers of delays for a given transfer matrix. Sufficient conditions for the existence of positive realizations of given proper transfer matrices are established. The proposed method is demonstrated on numerical examples.

How to cite

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Tadeusz Kaczorek. "A modified state variable diagram method for determination of positive realizations of linear continuous-time systems with delays." International Journal of Applied Mathematics and Computer Science 22.4 (2012): 897-905. <http://eudml.org/doc/244497>.

@article{TadeuszKaczorek2012,
abstract = {A new modified state variable diagram method is proposed for determination of positive realizations of linear continuoustime systems with delays in state and input vectors. Using the method, it is possible to find a positive realization with reduced numbers of delays for a given transfer matrix. Sufficient conditions for the existence of positive realizations of given proper transfer matrices are established. The proposed method is demonstrated on numerical examples.},
author = {Tadeusz Kaczorek},
journal = {International Journal of Applied Mathematics and Computer Science},
keywords = {state diagram method; determination; linear; continuous-time; delay; realization},
language = {eng},
number = {4},
pages = {897-905},
title = {A modified state variable diagram method for determination of positive realizations of linear continuous-time systems with delays},
url = {http://eudml.org/doc/244497},
volume = {22},
year = {2012},
}

TY - JOUR
AU - Tadeusz Kaczorek
TI - A modified state variable diagram method for determination of positive realizations of linear continuous-time systems with delays
JO - International Journal of Applied Mathematics and Computer Science
PY - 2012
VL - 22
IS - 4
SP - 897
EP - 905
AB - A new modified state variable diagram method is proposed for determination of positive realizations of linear continuoustime systems with delays in state and input vectors. Using the method, it is possible to find a positive realization with reduced numbers of delays for a given transfer matrix. Sufficient conditions for the existence of positive realizations of given proper transfer matrices are established. The proposed method is demonstrated on numerical examples.
LA - eng
KW - state diagram method; determination; linear; continuous-time; delay; realization
UR - http://eudml.org/doc/244497
ER -

References

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