Balancing transformations for infinite-dimensional systems with nuclear Hankel operator

DOI10.1007/s00020-013-2105-xzbMath1287.93016OpenAlexW2122967867MaRDI QIDQ2450846

Tilman Selig, Timo Reis

Publication date: 23 May 2014

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00020-013-2105-x

zbMATH Keywords

infinite-dimensional linear systemsnuclear Hankel operatormodel reduction by balanced truncation

Mathematics Subject Classification ID

Geometric methods (93B27) Linear systems in control theory (93C05) System structure simplification (93B11) Realizations from input-output data (93B15)

Related Items

Data-Driven Balancing of Linear Dynamical Systems ⋮ Error bounds for model reduction of feedback-controlled linear stochastic dynamics on Hilbert spaces ⋮ Infinite-dimensional bilinear and stochastic balanced truncation with explicit error bounds ⋮ Controller reduction by \(H_\infty \) balanced truncation for infinite-dimensional, discrete-time systems ⋮ 2 Balancing-related model reduction methods ⋮ Model order reduction for (stochastic-) delay equations with error bounds

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