Physical parameter sensitivity of system eigenvalues and physical model reduction

DOI10.1016/J.JFRANKLIN.2004.07.001zbMath1077.93010OpenAlexW2028298392MaRDI QIDQ1771059

Esref Eskinat, Âli Yurdun Orbak, Osman S. Turkay

Publication date: 7 April 2005

Published in: Journal of the Franklin Institute (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jfranklin.2004.07.001

zbMATH Keywords

eigenvalue sensitivityphysical model reduction

Mathematics Subject Classification ID

Sensitivity (robustness) (93B35) Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Identification in stochastic control theory (93E12) System structure simplification (93B11) Modal analysis in linear vibration theory (70J10) Control/observation systems governed by ordinary differential equations (93C15)

Cites Work

• Least squares model reduction
• Efficient redesign of damped structural systems for target transfer functions
• An approach to stiffness-damping simultaneous optimization
• FAST EIGENVALUE SENSITIVITY CALCULATIONS FOR SPECIAL STRUCTURES OF SYSTEM MATRIX DERIVATIVES
• All optimal Hankel-norm approximations of linear multivariable systems and theirL,^∞-error bounds†
• Linear system reduction using approximate moment matching
• Principal component analysis in linear systems: Controllability, observability, and model reduction

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