Optimal Hankel-norm approximation of stable systems with first-order stable weighting functions

DOI10.1016/0167-6911(86)90110-6zbMath0589.93009OpenAlexW2003883049MaRDI QIDQ1074534

B. George

Publication date: 1986

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

Full work available at URL: https://doi.org/10.1016/0167-6911(86)90110-6

zbMATH Keywords

stable systemsrational transfer functionsfrequency weightingoptimal Hankel-norm approximation

Mathematics Subject Classification ID

Multivariable systems, multidimensional control systems (93C35) Linear systems in control theory (93C05) Minimal systems representations (93B20) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Approximation by rational functions (41A20) Stability of control systems (93D99) Model systems in control theory (93C99)

Related Items (10)

Laguerre methods andH^∞identification of continuous-time systems ⋮ On the stability of projections of balanced realizations ⋮ Model reduction for discrete unstable systems based on generalized normal representations ⋮ Unstable rational function approximation ⋮ Truncated balanced realization of a stable non-minimal state-space system ⋮ Frequency weighted model order reduction technique and error bounds for discrete time systems ⋮ Frequency-weighted model reduction with \({\mathcal L}_ \infty\) error bounds ⋮ Internal positivity preserved model reduction ⋮ The $L_\infty/L_2$ Hankel Operator/ Norm of Sampled-Data Systems ⋮ An \(L_ \infty\)-convergent method to reduce frequency-weighted infinite- dimensional discrete-time systems

Cites Work

• Frequency-weighted optimal Hankel-norm approximation of stable transfer functions
• Optimal Hankel-norm model reductions: Multivariable systems
• All optimal Hankel-norm approximations of linear multivariable systems and theirL,^∞-error bounds†
• ANALYTIC PROPERTIES OF SCHMIDT PAIRS FOR A HANKEL OPERATOR AND THE GENERALIZED SCHUR-TAKAGI PROBLEM

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