L ∞ error bound for the phase matching approximation (the one-step-at-a-time Hankel norm model reduction version)

DOI10.1080/00207178708933973zbMath0632.93013OpenAlexW1977659363MaRDI QIDQ3770362

Li Rongsheng, 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/10.1080/00207178708933973

zbMATH Keywords

spectral densitystationary random processoptimal Hankel norm model reductionphase matching approximation

Mathematics Subject Classification ID

Stationary stochastic processes (60G10) Minimal systems representations (93B20) Approximation by rational functions (41A20) Stochastic systems in control theory (general) (93E03)

Related Items (2)

A tighter relative-error bound for balanced stochastic truncation ⋮ Model reduction by phase matching

Cites Work

• All optimal Hankel-norm approximations of linear multivariable systems and theirL,^∞-error bounds†
• 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
• An L<sup>∞</sup>error bound for the phase approximation problem

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