On Fractional Systems H∞ , -Norm Computation

Two methods are proposed in this paper for fractional system H
∞
-norm computation. These methods are extensions to fractional systems of well-known methods for integer systems. The first is based on singular value properties of a linear system and is applied on an academic example. In the second, two extensions of the real bounded lemma derived directly from Lyapunov's theory are deduced. The first method is applied on an academic example.