Computing the $\mathcal{H}_2$-Norm of a Fractional-Order System Using the State-Space Linear Model

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DOI: 10.46793/KgJMat2304.531L


The main purpose of the present paper is to establish an alternative approach to compute the 2-norm for a fractional-order transfer function of the first kind based on Caputo fractional derivative. The key idea behind this new approach is the use of the concept of the parahermitian transfer matrices and the state-space realization. Numerical examples are presented to illustrate the new approach.


Fractional-order differentiation, fractional transfer function of the first kind, 2-norm, parahermitian transfer matrices, state-space linear model, transformation matrices.


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