Singular value decomposition of an infinite block-hankel matrix and its applications

DOI10.1080/01630568708816265zbMath0637.93022OpenAlexW2021748392MaRDI QIDQ3778601

Fang-Bo Yeh, Ciann-Dong Yang

Publication date: 1987

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630568708816265

zbMATH Keywords

algorithmsingular value decompositioninfinite block Hankel matrix

Mathematics Subject Classification ID

Multivariable systems, multidimensional control systems (93C35) Minimal systems representations (93B20) Operator-theoretic methods (93B28) Eigenvalues, singular values, and eigenvectors (15A18) Special classes of linear operators (47B99)

Related Items (2)

A computational algorithm for the super-optimal solution of the model matching problem ⋮ Sarason approach to optimal, 2-block and 4-block \(H^ \infty\) norm

Cites Work

• The distance of a function to \(H^\infty\) in the Poincaré metric; electrical power transfer
• The singular-value decomposition of an infinite Hankel matrix
• Optimal Hankel-norm model reductions: Multivariable systems
• L<sup>∞</sup>optimization and Hankel approximation
• Feedback, minimax sensitivity, and optimal robustness
• All optimal Hankel-norm approximations of linear multivariable systems and theirL,^∞-error bounds†
• Optimal disturbance reduction in linear multivariable systems
• H<sup>∞</sup>-optimal feedback controllers for linear multivariable systems
• Formulae for the solution of Lyapunov matrix equations
• ANALYTIC PROPERTIES OF SCHMIDT PAIRS FOR A HANKEL OPERATOR AND THE GENERALIZED SCHUR-TAKAGI PROBLEM

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