Eigenvalue-eigenvector sensitivity formulae for linear descriptor systems

DOI10.1016/0167-6911(90)90116-CzbMath0724.93025OpenAlexW2045525193MaRDI QIDQ2277209

Jacek K. Kabzinski

Publication date: 1990

Published in: Systems \& Control Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-6911(90)90116-c

zbMATH Keywords

time-invarianteigenvalue-eigenvector sensitivity analysislinear multivariable descriptor systems

Mathematics Subject Classification ID

Sensitivity (robustness) (93B35) Multivariable systems, multidimensional control systems (93C35) Linear systems in control theory (93C05) Eigenvalue problems (93B60) Eigenvalues, singular values, and eigenvectors (15A18) Control/observation systems governed by ordinary differential equations (93C15) Model systems in control theory (93C99)

Cites Work

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• Variational equations for the eigenvalues and eigenvectors of nonsymmetric matrices
• A survey of linear singular systems
• Eigenvalue-eigenvector sensitivity analysis of linear time-invariant singular systems
• Parametric state-feedback control for arbitrary eigenvalue assignment with minimum sensitivity
• Pole Allocation Using Matrix Perturbations
• Integrated control of large flexible structures
• First- and second-order eigensensitivities of matrices with distinct eigenvalues
• Parametric eigenstructure assignment for continuous-time descriptor systems
• Eigenvalue sensitivity of linear time-invariant control systems with repeated eigenvalues
• Eigenvalue and eigenvector sensitivities in linear systems theory†

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