Fractional positive continuous-time linear systems and their reachability

Tadeusz Kaczorek

International Journal of Applied Mathematics and Computer Science, Tome 18 (2008), p. 223-228 / Harvested from The Polish Digital Mathematics Library

Résumé

A new class of fractional linear continuous-time linear systems described by state equations is introduced. The solution to the state equations is derived using the Laplace transform. Necessary and sufficient conditions are established for the internal and external positivity of fractional systems. Sufficient conditions are given for the reachability of fractional positive systems.

Détail

Publié le : 2008-01-01

Zbl 1235.34019

EUDML-ID : urn:eudml:doc:207879

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