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On Problems Involving Eigenvalues for Uncertain Matrices by Structured Singular Values
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DOI：10.1109/TAC.2017.2715658.png)
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Abstract
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This technical note considers problems that involve eigenvalues of uncertain matrices expressed in linear fractional form using the structured singular value mu and the skewed structured singular value.. In particular, positive definiteness conditions, maximum and minimum eigenvalues, and generalized eigenvalues of uncertain matrices are expressed using mu and nu. The obtained results allow us to acquire information of an uncertain matrix efficiently by the existing computational tools that provide practically useful approximations to the values of mu and nu.
Keywords:
Eigenvalues
generalized eigenvalues
positive definite
structured singular values
uncertain systems
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