Calculating the $H_{\infty}$-norm Using the Implicit Determinant Method

DOI10.1137/130933228zbMath1305.65161OpenAlexW1964334854MaRDI QIDQ2923362

Alastair Spence, Paul Van Dooren, Melina A. Freitag

Publication date: 15 October 2014

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

Full work available at URL: https://doi.org/10.1137/130933228

zbMATH Keywords

numerical exampletransfer matrixrobust stabilityNewton methodHamiltonian matriximplicit determinant methodmaximum singular value\(H_{\infty}\)-normlinear dynamic system

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Numerical optimization and variational techniques (65K10) Frequency-response methods in control theory (93C80) Linear systems in control theory (93C05) Robust stability (93D09) Numerical computation of determinants (65F40)

Related Items (8)

Faster and More Accurate Computation of the $\mathcal{H}_\infty$ Norm via Optimization ⋮ Large-Scale Estimation of Dominant Poles of a Transfer Function by an Interpolatory Framework ⋮ SOBMOR: Structured Optimization-Based Model Order Reduction ⋮ Approximating the Real Structured Stability Radius with Frobenius-Norm Bounded Perturbations ⋮ Large-Scale Computation of $\mathcal{L}_\infty$-Norms by a Greedy Subspace Method ⋮ \(\mathcal{L}_{\infty}\)-norm computation for large-scale descriptor systems using structured iterative eigensolvers ⋮ Large-Scale and Global Maximization of the Distance to Instability ⋮ Approximation of stability radii for large-scale dissipative Hamiltonian systems

Uses Software

• COMPleib
• Eigtool

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