On the initial conditions in continuous-time fractional linear systems

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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 languageEnglish
Pages (from-to)2301-2309
Number of pages9
JournalSignal Processing
Volume83
Issue number11
DOIs
Publication statusPublished - Nov 2003

Keywords

  • Fractional differintegration
  • Initial value problem

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