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On eigenvalues, eigenvectors and singular values in robust stability analysis. (English) Zbl 0551.93056
Recent papers have examined the problem of robustness of the stability of multivariable feedback systems to perturbations \(\Delta\) G in matrix form. Attention has been primarily focused on the use of the maximal singular value \({\bar \sigma}\)(\(\Delta\) G). This paper considers how structured information on the uncertainty in each element \(\Delta_{ij}(s)\) can be used in a similar way based on eigenvalue and singular value analysis.
Reviewer: V.Krakhatko

MSC:
93D25 Input-output approaches in control theory
15A18 Eigenvalues, singular values, and eigenvectors
93B35 Sensitivity (robustness)
93C05 Linear systems in control theory
93C35 Multivariable systems, multidimensional control systems
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References:
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