A new upper bound for the real structured singular value
S. K. Gungah, Usman Malik, Imad M. Jaimoukha, George D. Halikias
Abstract
S. K. Gungah, Usman Malik, Imad M. Jaimoukha, George D. Halikias
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.
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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.
Key concepts: Singular value, Upper and lower bounds, Mathematics, Value (mathematics), Set (abstract data type), Scaling, Singular solution, Singular value decomposition