\(L_ 1\) impulse response error bound for balanced truncation

DOI10.1016/0167-6911(92)90017-MzbMath0743.93028OpenAlexW2059602198MaRDI QIDQ1184275

Brian D. O. Anderson, James Lam

Publication date: 28 June 1992

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

Full work available at URL: https://doi.org/10.1016/0167-6911(92)90017-m

zbMATH Keywords

error boundsapplicationsmodel reductionHankel singular valuesbalanced truncationNumerical examples

Mathematics Subject Classification ID

System structure simplification (93B11)

Related Items (4)

On the stability of projections of balanced realizations ⋮ Convergent Systems: Nonlinear Simplicity ⋮ Balanced model reduction of symmetric composite systems ⋮ Comparing (Empirical-Gramian-Based) Model Order Reduction Algorithms

Cites Work

• All optimal Hankel-norm approximations of linear multivariable systems and theirL,^∞-error bounds†
• Realisation and Approximation of Linear Infinite-Dimensional Systems with Error Bounds
• Principal component analysis in linear systems: Controllability, observability, and model reduction
• Model reduction via balanced state space representations

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