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Numerical simulations of fractional systems: An overview of existing methods and improvements. (English) Zbl 1134.65300
Summary: 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.

MSC:
65-02 Research exposition (monographs, survey articles) pertaining to numerical analysis
93-02 Research exposition (monographs, survey articles) pertaining to systems and control theory
93C10 Nonlinear systems in control theory
37D45 Strange attractors, chaotic dynamics of systems with hyperbolic behavior
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