A multidimensional realization algorithm for parametric uncertainty modelling and multiparameter margin problems

The parametric uncertainty modelling problem arises in robustness analysis with the structured singular value (µ), or in parametric margin problems. In this paper, it is shown that parametric uncertainty modelling can be cast as a realization problem for a multidimensional system, which is defined in the framework of linear fractional transformations (LFTs). The main result of this paper is an algorithm to solve systematically the multidimensional realization problem.

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