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Numerical Simulations of Fractional Systems: An Overview of Existing Methods and Improvements |
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| Authors: | Mohamed Aoun Rachid Malti François Levron Alain Oustaloup |
| Institution: | 1. LAP—UMR 5131 CNRS—Université Bordeaux I—ENSEIRB, 351 Cours de la Libération, 33405, Talence cedex, France 2. IS—UT de Sénart—Université Paris 12, Avenue Pierre Point, 77127, Lieusaint, France 3. Institut de Mathématique de Bordeaux, Université de Bordeaux I, 351 Cours de la Libération, 33405, Talence cedex, France |
| Abstract: | An overview of the main simulation methods of fractional systems is presented. Based on Oustaloup’s recursive poles and zeros approximation of a fractional integrator in a frequency band, some improvements are proposed. They take into account boundary effects around outer frequency limits and simplify the synthesis of a rational approximation by eliminating arbitrarily chosen parameters. |
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