Abstract
Minimal realizations of internally bilinear systems, whose input-output maps admit a Volterra representation homogeneous in the input of degree <tex xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">k</tex> , are examined. A new constructive algorithm establishes a special form of a minimal internally bilinear realization of a <tex xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">k</tex> -power. The method deals with the multiinput-multioutput case.
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