Abstract
The initial condition problem for fractional linear system initialisation is studied in this paper. It is based on the generalised initial value theorem. The new approach involves functions belonging to the space of Laplace transformable distributions verifying the Watson-Doetsch lemma. The fractional derivatives of these functions are independent of the derivative definition. This class includes the most important functions appearing in computing the Impulse Response of continuous-time fractional linear systems.
Original language | English |
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Pages (from-to) | 2301-2309 |
Number of pages | 9 |
Journal | Signal Processing |
Volume | 83 |
Issue number | 11 |
DOIs | |
Publication status | Published - Nov 2003 |
Keywords
- Fractional differintegration
- Initial value problem