2003•Proceedings of the 40th IEEE Conference on Decision and Control (Cat. No.01CH37228)Requires access

A new upper bound for the real structured singular value

S. K. Gungah, Usman Malik, Imad M. Jaimoukha, George D. Halikias

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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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What this paper is about

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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Available 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.

Key concepts: Singular value, Upper and lower bounds, Mathematics, Value (mathematics), Set (abstract data type), Scaling, Singular solution, Singular value decomposition

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