Generalization of optimal Hankel-norm and balanced model reduction by bilinear mapping

DOI10.1080/00207178708933844zbMath0628.93010OpenAlexW2155769649MaRDI QIDQ3765620

Rongsheng Li, Edmond A. Jonckheere

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1080/00207178708933844

zbMATH Keywords

bilinear mappingsbalanced model reductionoptimal Hankel-norm model reduction

Mathematics Subject Classification ID

Geometric methods (93B27) Norms (inequalities, more than one norm, etc.) of linear operators (47A30) Miscellaneous topics of analysis in the complex plane (30E99)

Related Items (1)

Hankel operator and H_∞ distance problem over a simply-connected domain

Cites Work

• A new set of invariants for linear systems--Application to reduced order compensator design
• Optimal Hankel-norm model reductions: Multivariable systems
• All optimal Hankel-norm approximations of linear multivariable systems and theirL,^∞-error bounds†
• Power spectrum reduction by optimal Hankel norm approximation of the phase of the outer spectral factor
• Principal component analysis in linear systems: Controllability, observability, and model reduction
• Model reduction via balanced state space representations
• ANALYTIC PROPERTIES OF SCHMIDT PAIRS FOR A HANKEL OPERATOR AND THE GENERALIZED SCHUR-TAKAGI PROBLEM

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