On frequency weighted balanced truncation: Hankel singular values and error bounds

DOI10.3166/ejc.7.584-592zbMath1293.93308OpenAlexW2035975740MaRDI QIDQ2512183

Brian D. O. Anderson, Bart De Moor, Peter Van Overschee, Tony van Gestel

Publication date: 7 August 2014

Published in: European Journal of Control (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/3155b916b6b345e0070310e28268a0e0003932d9

zbMATH Keywords

model reductionHankel singular valuesbalanced truncationfrequency weighted balancing

Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18)

Related Items

Partial fraction expansion based frequency weighted model reduction for discrete-time systems ⋮ A note on ‘improved results on frequency weighted balanced truncation and error bounds’ ⋮ Improved results on frequency-weighted balanced truncation and error bounds

Cites Work

• Unnamed Item
• Unnamed Item
• Error bound for transfer function order reduction using frequency weighted balanced truncation
• All optimal Hankel-norm approximations of linear multivariable systems and theirL,^∞-error bounds†
• Linear time-variable systems: Balancing and model reduction
• Model reduction via balanced realizations: an extension and frequency weighting techniques
• Model reduction via balanced state space representations
• A new frequency-weighted balanced truncation method and an error bound