A note on Hankel approximation of all-pass functions

DOI10.1016/S0024-3795(95)00775-XzbMath0876.93024MaRDI QIDQ677800

György Michaletzky

Publication date: 1 December 1997

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

zbMATH Keywords

transfer functiondualityHankel operatorall-pass functionNehari complementsoptimal Hankel approximation

Mathematics Subject Classification ID

Operator-theoretic methods (93B28) Realizations from input-output data (93B15)

Related Items (1)

Optimal angle reduction -- a behavioral approach to linear system approximation

Cites Work

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• A course in \(H_{\infty}\) control theory
• A polynomial approach to Hankel norm and balanced approximations
• Unit canonical correlations between future and past
• Robust controller design using normalized coprime factor plant descriptions
• A new set of invariants for linear systems--Application to reduced order compensator design
• All optimal Hankel-norm approximations of linear multivariable systems and theirL,^∞-error bounds†
• Optimal Hankel Norm Model Reductions and Wiener–Hopf Factorization I: The Canonical Case
• A functional approach to LQG balancing

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