The Drazin inverse of matrices is applied to find the solutions of the state equations of descriptor fractional discrete-time systems with regular pencils. An equality defining the set of admissible initial conditions for given inputs is derived. The proposed method is illustrated by a numerical example.
@article{bwmeta1.element.bwnjournal-article-amcv23z1p29bwm, author = {Tadeusz Kaczorek}, title = {Application of the Drazin inverse to the analysis of descriptor fractional discrete-time linear systems with regular pencils}, journal = {International Journal of Applied Mathematics and Computer Science}, volume = {23}, year = {2013}, pages = {29-33}, zbl = {1293.93496}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-amcv23z1p29bwm} }
Tadeusz Kaczorek. Application of the Drazin inverse to the analysis of descriptor fractional discrete-time linear systems with regular pencils. International Journal of Applied Mathematics and Computer Science, Tome 23 (2013) pp. 29-33. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-amcv23z1p29bwm/
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