Characterization and Computation of $\mathcal{H}_{\infty}$ Norms for Time-Delay Systems

DOI10.1137/090758751zbMath1202.93062arXiv2003.08179OpenAlexW3106024862MaRDI QIDQ3053137

Suat Gumussoy, Wim Michiels

Publication date: 4 November 2010

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

Full work available at URL: https://arxiv.org/abs/2003.08179

zbMATH Keywords

time-delayHamiltonian eigenvalue problem\({\mathcal H}_\infty\) norm

Mathematics Subject Classification ID

Control/observation systems governed by functional-differential equations (93C23) (H^infty)-control (93B36) Eigenvalue problems (93B60) Robust stability (93D09) Eigenvalues, singular values, and eigenvectors (15A18) Special matrices (15B99)

Related Items (4)

A Structure Preserving Shift-Invert Infinite Arnoldi Algorithm for a Class of Delay Eigenvalue Problems with Hamiltonian Symmetry ⋮ Discussion on: ``\({\mathcal H}_{\infty}\) control design for time-delay linear systems: a rational transfer function based approach ⋮ Computation of extremum singular values and the strong \(H_\infty\) norm of SISO time-delay systems ⋮ Design of structured controllers for linear time-delay systems

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