Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Impulse Response Invariant Discretization of Complex Fractional Order
  Integrator   When the order of an integrator is a complex number, the integrator is called
a complex fractional order integrator (CFOI). The impulse response invariant
discretization (IRID) method is proposed to approximately discretize the CFOI.
The definition of the CFOI is introduced firstly, and the real and imaginary
parts of the CFOI in frequency-domain responses are derived. The code of IRID
for the CFOI based on the MATLAB language is explained. The comparisons of the
impulse responses and frequency-domain responses between the CFOI and the
approximate discrete/continuous transfer functions are presented to illustrate
the effectiveness and correctness of the proposed discretization method. This
paper offers a reliable method to implement the CFOI.

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The categories of this paper are: nlin
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The categories of this paper are: bayes-an
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The categories of this paper are: atom-ph
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The categories of this paper are: econ
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The categories of this paper are: dg-ga
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The categories of this paper are: alg-geom
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The categories of this paper are: patt-sol
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The categories of this paper are: mtrl-th
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The categories of this paper are: stat
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The categories of this paper are: chao-dyn
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The categories of this paper are: nucl-ex
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The categories of this paper are: physics
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The categories of this paper are: comp-gas
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The categories of this paper are: cond-mat
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The categories of this paper are: hep-ex
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The categories of this paper are: astro-ph