Positivity and stability of fractional descriptor time–varying discrete–time linear systems
| 31 mars 2016
À propos de cet article
Publié en ligne: 31 mars 2016
Pages: 5 - 13
Reçu: 08 nov. 2014
DOI: https://doi.org/10.1515/amcs-2016-0001
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© 2016 Tadeusz Kaczorek, published by De Gruyter Open
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.
The Weierstrass–Kronecker theorem on the decomposition of the regular pencil is extended to fractional descriptor time-varying 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.