Parametric interpolation, H ∞-control and model reduction

DOI10.1080/00207179008953538zbMath0712.93015OpenAlexW2007338024MaRDI QIDQ3197691

Michael Green, David J. N. Limebeer

Publication date: 1990

Published in: International Journal of Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207179008953538

zbMATH Keywords

Hankel norm model reduction problem\(H^{\infty }\)-optimal controlparametric vector interpolation problems

Mathematics Subject Classification ID

(H^infty)-control (93B36) Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05) Pole and zero placement problems (93B55) System structure simplification (93B11) Interpolation in approximation theory (41A05) Moment problems and interpolation problems in the complex plane (30E05)

Related Items (3)

On low-complexity approximation of matrices ⋮ Recursive solutions of rational interpolation problems via fast matrix factorization ⋮ On the Hankel-norm approximation of upper-triangular operators and matrices

Cites Work

• Interpolation problems of Pick-Nevanlinna and Loewner types for meromorphic matrix functions
• An interpolation theory approach to \(H^{\infty}\) controller degree bounds
• Beurling-Lax Representations Using Classical Lie Groups with Many Applications III: Groups Preserving Two Bilinear Forms
• Directional interpolation approach to H<sup>∞</sup>-Optimization and robust stabilization
• Realisation and Approximation of Linear Infinite-Dimensional Systems with Error Bounds
• On the role of the Nevanlinna–Pick problem in circuit and system theory
• A two-variable approach to the model reduction problem with Hankel norm criterion
• ANALYTIC PROPERTIES OF SCHMIDT PAIRS FOR A HANKEL OPERATOR AND THE GENERALIZED SCHUR-TAKAGI PROBLEM

This page was built for publication: Parametric interpolation, H ^∞-control and model reduction