On the four block problem. II: The singular system

DOI10.1007/BF01207394zbMath0782.47015OpenAlexW2016760980MaRDI QIDQ2368027

Allen Tannenbaum, Ciprian Foias

Publication date: 18 August 1993

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01207394

zbMATH Keywords

singular valuesfour block operatorskew Toeplitz operator problem

Mathematics Subject Classification ID

Linear operator methods in interpolation, moment and extension problems (47A57) Structure theory of linear operators (47A65)

Related Items (12)

On the optimal and suboptimal solutions of the mixed sensitivity problem ⋮ Analytic system problems and \(J\)-lossless coprime factorization for infinite-dimensional linear systems ⋮ Approximation by analytic matrix functions: The four block problem ⋮ On the two-block \(H^ \infty\) problem for a class of unstable distributed systems ⋮ A note on the commutant lifting theorem and a generalized four block problem ⋮ Frequency domain analysis and robust control design for an ideal flexible beam ⋮ Mixed-sensitivity optimization for a class of unstable infinite- dimensional systems ⋮ On the parametrization of the suboptimal solutions in generalized interpolation ⋮ Computation of the singular values of Toeplitz operators and the gap metric ⋮ A Hamiltonian-based solution to the two-block \(H^{\infty}\) problem for general plants in \(H^{\infty}\) and rational weights ⋮ Tutorial reviewH∞optimal controller design for a class of distributed parameter systems ⋮ A numerical procedure for a non-rational \(H^{\infty}\)-optimization problem in control design

Cites Work

• Uniformly optimal control of linear feedback systems
• A spectral characterization of \(H^{\infty}\)-optimal feedback performance and its efficient computation
• On the Nehari problem for a certain class of \(L^{\infty}\)-functions appearing in control theory
• On the $H^\infty $-Optimal Sensitivity Problem for Systems with Delays
• Some Explicit Formulae for the Singular Values of Certain Hankel Operators with Factorizable Symbol
• Norm-Preserving Dilations and Their Applications to Optimal Error Bounds
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