Positivity and stability of fractional descriptor time-varying discrete-time linear systems

Kaczorek, T.

International Journal of Applied Mathematics and Computer Science, Tome 26 (2016) no. 1, pp. 5-13.

Résumé

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.

Détail

Keywords: fractional system, descriptor system, time varying system, positive system, discrete-time system
Mots-clés : układ ułamkowy, układ deskrypcyjny, układ dodatni, układ dyskretno-czasowy

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