Positivity and stability of fractional descriptor time–varying discrete–time linear systems
| 31 mar 2016
Acerca de este artículo
Publicado en línea: 31 mar 2016
Páginas: 5 - 13
Recibido: 08 nov 2014
DOI: https://doi.org/10.1515/amcs-2016-0001
Palabras clave
© 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.