A tighter relative-error bound for balanced stochastic truncation
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Publication:913710
DOI10.1016/0167-6911(90)90051-UzbMath0699.93007OpenAlexW1595737742MaRDI QIDQ913710
Weizheng Wang, Michael G. Safonov
Publication date: 1990
Published in: Systems \& Control Letters (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0167-6911(90)90051-u
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Related Items (11)
Multiplicative Hankel norm approximation of linear multivariable systems ⋮ Relative/multiplicative model reduction for unstable and non-minimum-phase systems ⋮ Modelling and Model Reduction–State-Space Truncation ⋮ A behavioral characterization of the positive real and bounded real characteristic values in balancing ⋮ The relation of the CCA subspace method to a balanced reduction of an autoregressive model. ⋮ A covariance extension approach to identification of time series ⋮ Multiplicative approximation of transfer functions with frequency weighting ⋮ Bounded real and positive real balanced truncation using \(\Sigma \)-normalised coprime factors ⋮ Relative-error bound for discrete balanced stochastic truncation ⋮ Passivity-preserving model reduction by analytic interpolation ⋮ 2 Balancing-related model reduction methods
Uses Software
Cites Work
- Balanced stochastic realizations
- Model reduction by phase matching
- State-space approach to approximation by phase matching
- A transformation approach to stochastic model reduction
- All optimal Hankel-norm approximations of linear multivariable systems and theirL,∞-error bounds†
- Model reduction for robust control: A schur relative error method
- L ∞ error bound for the phase matching approximation (the one-step-at-a-time Hankel norm model reduction version)
- A relative error bound for balanced stochastic truncation
- Principal component analysis in linear systems: Controllability, observability, and model reduction
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