H2-norm of a class of fractional transfer functions suited for modeling diffusive phenomena

Abstract : This paper focuses on the H2-norm of a class of implicit fractional order transfer functions well suited to describe input-output behaviour of diffusive systems. First, analytical expression of the H2-norm of this kind of transfer function is established. This result is then used to evaluate the quality of an integer order approximation of such an implicit fractional transfer function.
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Submitted on : Thursday, February 15, 2018 - 10:49:09 AM
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Mathieu Chevrié, Jocelyn Sabatier, Christophe Farges, Rachid Malti. H2-norm of a class of fractional transfer functions suited for modeling diffusive phenomena. 2015 American Control Conference (ACC), Jul 2015, Chicago, France. pp.2199-2204, ⟨10.1109/ACC.2015.7171059⟩. ⟨hal-01709654⟩

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