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\iteman{io-port 05623124}
\itemau{H\'elie, Thomas; Matignon, Denis}
\itemti{Representations with poles and cuts for the time-domain simulation of fractional systems and irrational transfer functions.}
\itemso{Signal Process. 86, No. 10, 2516-2528 (2006).}
\itemab
Summary: Fractional differential systems are infinite-dimensional systems which are difficult to study and simulate: they can be represented with poles and cuts. This representation applies to a wider class of irrational transfer functions, and is most useful for signal processing purposes, such as frequency-domain and time-domain simulations: the approximations in low dimension which give the most striking numerical results are obtained through an optimization procedure, the parameters of which are meaningful from a signal point of view. Ten such systems of increasing complexity are thoroughly investigated.
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\itemut{infinite-dimensional systems; irrational transfer functions; time-domain simulation; fractional differential systems; diffusive representations}
\itemli{doi:10.1016/j.sigpro.2006.02.017}
\end