State-space approach to approximation by phase matching
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Publication:3028825
DOI10.1080/00207178708933759zbMath0625.93056OpenAlexW1964292268MaRDI QIDQ3028825
Ph. C. Opdenacker, 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/10.1080/00207178708933759
algorithmsHankel operatorcontinuous-timeapproximate realizationsphase-matching algorithmproper power spectral density matrixstochastic realization approximation
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Related Items (5)
Acausal models and balanced realizations of stationary processes ⋮ Balanced stochastic realizations ⋮ Analysis and synthesis of modally balanced systems ⋮ A tighter relative-error bound for balanced stochastic truncation ⋮ Hankel-norm approximation of a rational function using stochastic realizations
Cites Work
- On bounded bilinear forms
- A transformation approach to stochastic model reduction
- Symmetry properties of balanced systems
- All optimal Hankel-norm approximations of linear multivariable systems and theirL,∞-error bounds†
- Stochastic balancing and approximation-stability and minimality
- Spectral factor reduction by phase matching: the continuous-time single-input single-output case†
- 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
- Markovian Representation of Stochastic Processes by Canonical Variables
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