Relating \(H_{2}\) and \(H_{\infty}\) bounds for finite-dimensional systems

DOI10.1016/0167-6911(94)00018-QzbMath0877.93037OpenAlexW2018521627MaRDI QIDQ673888

Brian D. O. Anderson, Franky De Bruyne, Michel Gevers

Publication date: 28 February 1997

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

Full work available at URL: https://doi.org/10.1016/0167-6911(94)00018-q

zbMATH Keywords

LQG optimal control\(H_ \infty\) optimal control\(H_{\infty}\) norm\(H_{2}\) normNorm bounds

Mathematics Subject Classification ID

(H^infty)-control (93B36) Norms (inequalities, more than one norm, etc.) of linear operators (47A30)

Related Items (4)

Analyzing the effect of the inventory policy on order and inventory variability with linear control theory ⋮ New relations between norms of system transfer functions ⋮ Approximative model reconstruction of cascade systems ⋮ Complexity of identification of linear systems with rational transfer functions

Cites Work

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• Weighted Hankel-norm approximation: Calculation of bounds
• Comparison of peak and RMS gains for discrete-time systems
• All optimal Hankel-norm approximations of linear multivariable systems and theirL,^∞-error bounds†

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