Two upper bounds on the ℋ∞-norm of LTI dynamical systems

Abstract The poles/residues expression of the frequency-limited ℋ 2 -norm is used to derive two upper bounds on the ℋ ∞ -norm of a MIMO LTI dynamical system. These bounds can be efficiently computed when the eigenvalues and eigenvectors of the model are available. This specificity make them particularly well suited to watch the ℋ ∞ -norm of the approximation error in the context of the frequency-limited ℋ 2 model approximation method suggested recently by the authors.The efficiency of these bounds, as well as their integration in the model approximation algorithm are illustrated through several numerical examples.

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