A Novel Iterative Method To Approximate Structured Singular Values

DOI10.1137/16M1074977zbMath1365.65101arXiv1605.04103OpenAlexW2962964979MaRDI QIDQ5346758

Daniel Kressner, Mutti-Ur Rehman, Nicola Guglielmi

Publication date: 29 May 2017

Published in: SIAM Journal on Matrix Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1605.04103

zbMATH Keywords

numerical resultslinear control systemsdifferential equationNewton methodstability radiusstructured singular valueinner-outer iterationspectral value setlow-rank matrix manifoldblock diagonal perturbations\(\mu\)-value

Mathematics Subject Classification ID

Numerical solutions to overdetermined systems, pseudoinverses (65F20) Numerical optimization and variational techniques (65K10) Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05) Eigenvalues, singular values, and eigenvectors (15A18)

Related Items

Computing \(\mu\)-values for LTI systems ⋮ Unnamed Item ⋮ Nonnegative matrices and their structured singular values ⋮ A low rank ODE based technique for numerical approximation of lower bounds of structured singular value ⋮ Nearest common root of a set of polynomials: a structured singular value approach ⋮ STRUCTURED SINGULAR VALUES OF SOME GENERALISED STOCHASTIC MATRICES

Uses Software

• Matlab
• ARPACK
• Robust Control Toolbox
• mussv
• PSAPSR

Cites Work

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