Generalized interpolation in 𝐻^{∞} with a complexity constraint

DOI10.1090/S0002-9947-04-03616-5zbMath1077.47015OpenAlexW1993408859MaRDI QIDQ5713162

Anders Lindquist, Tryphon T. Georgiou, Alexandre Megretski, Christopher I. Byrnes

Publication date: 12 December 2005

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9947-04-03616-5

zbMATH Keywords

Hardy spacedifferential formsoptimisationsystems theorygeneralised interpolationwell-posedness in the sense of HadamardNevanlinna--Pick interpolation problem

Mathematics Subject Classification ID

Linear operator methods in interpolation, moment and extension problems (47A57) Moment problems and interpolation problems in the complex plane (30E05) Applications of functional analysis in optimization, convex analysis, mathematical programming, economics (46N10) Applications of operator theory in optimization, convex analysis, mathematical programming, economics (47N10) Realizations from input-output data (93B15)

Related Items (8)

Robust controller design using the Nevanlinna-Pick interpolation in gyro stabilized pod ⋮ Multidimensional Rational Covariance Extension with Approximate Covariance Matching ⋮ Boundary Nevanlinna--Pick Interpolation with Prescribed Peak Points. Application to Impedance Matching ⋮ Optimization-based computation of analytic interpolants of bounded complexity ⋮ Passivity-preserving model reduction by analytic interpolation ⋮ On a class of extremal solutions of a moment problem for rational matrix-valued functions in the nondegenerate case I ⋮ A maximum entropy approach to the realizability of spin correlation matrices ⋮ Multidimensional Rational Covariance Extension with Applications to Spectral Estimation and Image Compression

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