Characterization of the solution to the optimal \(H_{\infty}\) model reduction problem

DOI10.1016/0167-6911(93)90021-WzbMath0782.93021OpenAlexW2021883878MaRDI QIDQ1801654

Davut Kavranoğlu, Maamar Bettayeb

Publication date: 17 August 1993

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

Full work available at URL: https://doi.org/10.1016/0167-6911(93)90021-w

zbMATH Keywords

rational transfer functionallpass imbeddingHankel norm model reduction problemoptimal \(H_ \infty\) model reduction problem

Mathematics Subject Classification ID

System structure simplification (93B11)

Related Items (17)

Model reduction in numerical heat transfer problems ⋮ Improved results on \(H_\infty\) model reduction for continuous-time linear systems over finite frequency ranges ⋮ Interpolatory \(H_\infty \) model reduction ⋮ H_∞norm approximation of discrete-time systems by constant matrices ⋮ ConstantL_∞norm approximation of complex rational functions ⋮ H_∞ model reduction for negative imaginary systems ⋮ Model reduction of a class of discrete-time nonlinear systems ⋮ Interconnection-based model order reduction -- a survey ⋮ \(H_2\) and \(H_\infty\) optimal model reduction using genetic algorithms ⋮ Interpolatory Methods for $$\mathcal{H}_{\infty }$$ Model Reduction of Multi-Input/Multi-Output Systems ⋮ Optimal \(H_ \infty\) model reduction via linear matrix inequalities: continuous- and discrete-time cases ⋮ Induced \(\mathfrak{L}_ 2\) norm model reduction of polytopic uncertain linear systems ⋮ An augmented Lagrangian method for the optimal \(H_\infty\) model order reduction problem ⋮ Internal positivity preserved model reduction ⋮ Positivity-preserving \(H_\infty\) model reduction for positive systems ⋮ \(H_{\infty }\) model reduction for discrete-time singular systems ⋮ \(H_{\infty }\) model reduction of Markovian jump linear systems

Cites Work

• The CF table
• Optimal Hankel-norm model reductions: Multivariable systems
• All optimal Hankel-norm approximations of linear multivariable systems and theirL,^∞-error bounds†
• Principal component analysis in linear systems: Controllability, observability, and model reduction
• Zeroth orderH_∞norm approximation of multivariable systems
• Unnamed Item

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