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We exploit the structure of the uncrertainty to decompose a multidimensional polynomial matrix into sums and products of simple factors.","display_name":"Linear Fractional Representations of Uncertain Systems**A short version of this paper was presented at the 13th IFAC World Congress, which was held in San Francisco, CA, during 30 June\u20135 July 1996. The Published Proceedings of this IFAC meeting may be ordered from: Elsevier Science Limited, The Boulevard, Langford Lane, Kidlington, Oxford OX5 1GB, U.K. This paper was recommended for publication in revised form by Associate Editor I. Petersen under the direction of Editor Ruth F. Curtain.11A systematic procedure to find low-order linear fractional representations of systems with parametric uncertainty is presented. 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