Tracking poles and representing Hankel operators directly from data

DOI10.1007/BF01385646zbMath0726.30003MaRDI QIDQ802784

J. William Helton, N. J. Young, Philip G. Spain

Publication date: 1991

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/133522

zbMATH Keywords

Hankel operatorNehari problemCarathéodory-Féjer methodH\({}^{\infty }\) control theorypole- tracking

Mathematics Subject Classification ID

Approximation in the complex plane (30E10) Approximation by rational functions (41A20) General theory of numerical methods in complex analysis (potential theory, etc.) (65E05) Software, source code, etc. for problems pertaining to functions of a complex variable (30-04) Software, source code, etc. for problems pertaining to systems and control theory (93-04)

Related Items (2)

Tracking poles, representing Hankel operators, and the Nehari problem ⋮ Tracking poles and representing Hankel operators directly from data

Uses Software

• nag
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Cites Work

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• Tracking poles and representing Hankel operators directly from data
• Near-circularity of the error curve in complex Chebyshev approximation
• The distance of a function to \(H^\infty\) in the Poincaré metric; electrical power transfer
• The singular-value decomposition of an infinite Hankel matrix
• Infinite Hankel matrices and generalized Caratheodory-Fejer and Riesz problems
• All optimal Hankel-norm approximations of linear multivariable systems and theirL,^∞-error bounds†
• Worst case analysis in the frequency domain: The H<sup>∞</sup>approach to control
• Broadbanding:Gain equalization directly from data
• Model reduction via balanced state space representations

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