An extension of A-A-K Hankel approximation theory using state-space formulation

DOI10.1016/0167-6911(94)90007-8zbMath0817.93007OpenAlexW2038622682MaRDI QIDQ1337667

Ciann-Dong Yang

Publication date: 1 December 1994

Published in: Systems \& Control Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-6911(94)90007-8

zbMATH Keywords

balanced realizationstate-spaceA-A-K Hankel approximation theoryHankel singular value

Mathematics Subject Classification ID

Minimal systems representations (93B20) System structure simplification (93B11)

Cites Work

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• Hankel norm approximation of real symmetric rational matrix functions
• One-step extension approach to optimal Hankel-norm approximation and H/sup infinity /-optimization problems
• Optimal Hankel-norm model reductions: Multivariable systems
• All optimal Hankel-norm approximations of linear multivariable systems and theirL,^∞-error bounds†
• Infinite Hankel block matrices and related extension problems

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