A new upper bound for the real structured singular value

Abstract

A new, easily computable, upper bound on the real structured singular value /spl mu/ is derived under the assumption of a nonrepeated largest singular value. The condition under which real /spl mu/ is (strictly) less than the largest singular value is used to embed the structured uncertainty set in a larger related set. This is then used to derive an upper bound strictly less than the largest singular value without the use of scaling matrices.