Robustness analysis using singular value sensitivities†

DOI10.1080/00207178208922604zbMath0473.93031OpenAlexW4249487427WikidataQ126244697 ScholiaQ126244697MaRDI QIDQ3929619

Cruz, J. B. jun., Douglas P. Looze, James S. Freudenberg

Publication date: 1982

Published in: International Journal of Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207178208922604

zbMATH Keywords

robustness analysisestimates of system feedback propertiessingular value sensitivities

Mathematics Subject Classification ID

Sensitivity (robustness) (93B35) Stabilization of systems by feedback (93D15) Linear systems in control theory (93C05) Eigenvalues, singular values, and eigenvectors (15A18) Model systems in control theory (93C99)

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Cites Work

• Robust stability of systems with application to singular perturbations
• The singular value decomposition: Its computation and some applications
• Robustness results in linear-quadratic Gaussian based multivariable control designs
• Principal gains and principal phases in the analysis of linear multivariable feedback systems
• Multivariable feedback design: Concepts for a classical/modern synthesis
• A relationship between sensitivity and stability of multivariable feedback systems
• Feedback properties of multivariable systems: The role and use of the return difference matrix
• Error and Perturbation Bounds for Subspaces Associated with Certain Eigenvalue Problems
• Vector gain
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