Abstract: We present here a detailed survey of H-infinity H∞ norm computation for a commensurate Fractional Order System (FOS). First, H∞ norm definition is given for FOS and then Hamiltonian matrix of a FOS is computed. One method based on this Hamiltonian matrix is then proposed to compute the FOS H∞ norm which is based on a dichotomy algorithm.
Keywords: FOC- fractional order system; H∞ -h-infinity commensurate-corresponding in size or degree; in proportion.Hamiltonian matrix- In mathematics, a Hamiltonian matrix is a 2n-by-2n matrix A such that JA is symmetric, where J is the skew-symmetric matrix.Riemann–Liouville integral- In mathematics, the Riemann–Liouville integral associates with a real function ƒ : R → R another function Iαƒ of the same kind for each value of the parameter α > 0.
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