The realization problem for positive multivariable discrete-time systems with delays in the state and inputs is formulated and solved. Conditions for its solvability and the existence of a minimal positive realization are established. A procedure for the computation of a positive realization of a proper rational matrix is presented and illustrated with examples.
@article{bwmeta1.element.bwnjournal-article-amcv16i2p169bwm,
author = {Kaczorek, Tadeusz},
title = {Realization problem for positive multivariable discretetime linear systems with delays in the state vector and inputs},
journal = {International Journal of Applied Mathematics and Computer Science},
volume = {16},
year = {2006},
pages = {169-174},
zbl = {1111.93051},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-amcv16i2p169bwm}
}
Kaczorek, Tadeusz. Realization problem for positive multivariable discretetime linear systems with delays in the state vector and inputs. International Journal of Applied Mathematics and Computer Science, Tome 16 (2006) pp. 169-174. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-amcv16i2p169bwm/
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