How to Impose Physically Coherent Initial Conditions to a Fractional System

@inproceedings{Sabatier2010HowTI,
  title={How to Impose Physically Coherent Initial Conditions to a Fractional System},
  author={Jocelyn Sabatier and Mathieu Merveillaut and Rachid Malti and Alain Oustaloup},
  year={2010}
}
Abstract In this paper, it is shown that neither Riemann–Liouville nor Caputo definitions for fractional differentiation can be used to take into account initial conditions in a convenient way from a physical point of view. This demonstration is done on a counter-example. Then the paper proposes a representation for fractional order systems that lead to a physically coherent initialization for the considered systems. This representation involves a classical linear integer system and a system… CONTINUE READING

Similar Papers

Citations

Publications citing this paper.
SHOWING 1-10 OF 39 CITATIONS

About fractional models physical consistency: Case of implicit differentiation based fractional order models

  • 2015 54th IEEE Conference on Decision and Control (CDC)
  • 2015
VIEW 5 EXCERPTS
CITES BACKGROUND & METHODS
HIGHLY INFLUENCED

Observer with Improved Convergence for a Class of Initialized FO-LTI Systems

  • 2018 IEEE Conference on Control Technology and Applications (CCTA)
  • 2018
VIEW 1 EXCERPT
CITES BACKGROUND

A theoretical investigation on consideration of initial conditions in fractional-order transfer function modeling

  • 2017 40th International Conference on Telecommunications and Signal Processing (TSP)
  • 2017
VIEW 1 EXCERPT
CITES BACKGROUND