The Weierstrass-Kronecker theorem on the decomposition of the regular pencil is extended to fractional descriptor timevarying discrete-time linear systems. A method for computing solutions of fractional systems is proposed. Necessary and sufficient conditions for the positivity of these systems are established.
@article{bwmeta1.element.bwnjournal-article-amcv26i1p5bwm,
author = {Tadeusz Kaczorek},
title = {Positivity and stability of fractional descriptor time-varying discrete-time linear systems},
journal = {International Journal of Applied Mathematics and Computer Science},
volume = {26},
year = {2016},
pages = {5-13},
zbl = {1336.93100},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-amcv26i1p5bwm}
}
Tadeusz Kaczorek. Positivity and stability of fractional descriptor time-varying discrete-time linear systems. International Journal of Applied Mathematics and Computer Science, Tome 26 (2016) pp. 5-13. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-amcv26i1p5bwm/
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