A parameterization of parahermitian matrix functions and its application to a state-space solution for \(\mu\)-analysis

DOI10.1016/j.sysconle.2011.06.002zbMath1227.15031OpenAlexW2074395962MaRDI QIDQ643681

D. Y. Lana, Alexander Lanzon, Sourav Patra

Publication date: 2 November 2011

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

Full work available at URL: https://doi.org/10.1016/j.sysconle.2011.06.002

zbMATH Keywords

spectral factorizationnumerical examples\(\mu\)-analysis\(D\)-scaleeconomic parameterizationLaguerre parameterizationparahermitian matrix functionstate-space optimization

Mathematics Subject Classification ID

Factorization of matrices (15A23) Numerical mathematical programming methods (65K05) Special problems of linear programming (transportation, multi-index, data envelopment analysis, etc.) (90C08) Hermitian, skew-Hermitian, and related matrices (15B57)

Related Items (1)

Robust and nonlinear control literature survey (No. 27)

Uses Software

• LMI toolbox
• Robust Control Toolbox
• Mu Analysis and Synthesis Toolbox

Cites Work

• On the Kalman-Yakubovich-Popov lemma
• On the formulation and solution of robust performance problems
• The complex structured singular value
• An alternative Kalman-Yakubovich-Popov lemma and some extensions
• Model approximation using magnitude and phase criteria: implications for model reduction and system identification
• Nonlocal sensitivity analysis of the eigensystem of a matrix with distinct eigenvalues
• Stability multipliers and μ upper bounds: connections and implications for numerical verification of frequency domain conditions
• Pointwise in frequency performance weight optimization in µ-synthesis
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