New relations between norms of system transfer functions

DOI10.1016/J.SYSCONLE.2010.10.008zbMath1210.93028OpenAlexW2077669525MaRDI QIDQ2430957

Michel Gevers, Tzvetan Ivanov, Brian D. O. Anderson, Pierre-Antoine Absil

Publication date: 8 April 2011

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

Full work available at URL: https://doi.org/10.1016/j.sysconle.2010.10.008

zbMATH Keywords

robust controlconfidence regionreproducing kernelcovarianceLQRtight boundsupremum norm\(H^{\infty }\) normweighted \(H^{2}\) norm

Mathematics Subject Classification ID

Sensitivity (robustness) (93B35) (H^infty)-control (93B36) Pole and zero placement problems (93B55) Stochastic systems in control theory (general) (93E03)

Cites Work

• Relating \(H_{2}\) and \(H_{\infty}\) bounds for finite-dimensional systems
• \(\mathcal H_2\)-optimal model reduction of MIMO systems
• \(h_{2}\)-norm optimal model reduction for large scale discrete dynamical MIMO systems
• Orthonormal basis functions for modelling continuous-time systems
• All optimal Hankel-norm approximations of linear multivariable systems and theirL,^∞-error bounds†
• $\mathcal{H}_2$ Model Reduction for Large-Scale Linear Dynamical Systems
• Relating H/sub 2/ and H/sub ∞/-norm bounds for sampled-data systems

This page was built for publication: New relations between norms of system transfer functions