Unit interpolation in \(H_{\infty{}}\): Bounds of norm and degree of interpolants

DOI10.1016/0167-6911(91)90130-7zbMath0747.93074OpenAlexW1972005074MaRDI QIDQ1185300

Hajime Maeda, Shinzo Kodama, Yoshito Ohta

Publication date: 28 June 1992

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

Full work available at URL: https://doi.org/10.1016/0167-6911(91)90130-7

zbMATH Keywords

strong stabilizationPoincaré metricNevanlinna-Pick interpolation

Mathematics Subject Classification ID

Stability of control systems (93D99)

Related Items (10)

Reliable decentralized stabilization via extended linear matrix inequalities and constrained dissipativity ⋮ Simultaneously stabilising controllers for time-varying linear systems within the framework of nest algebras ⋮ A dual look at unit interpolation in H_∞ ⋮ Interpolation with strongly \(F\)-positive real matrix and application to strong stabilization ⋮ A modification of theorem for the least bound of the minimum degree of interpolating unit ⋮ On the strong stabilization and stable \(H^\infty\)-controller design problems for MIMO systems ⋮ A counter example for the conjecture in `An algorithm for interpolation with units in \(H_ \infty\)' ⋮ On least-degree unit interpolation in \(RH_ \infty\) ⋮ On the reliable decentralised stabilisation ofnMIMO systems ⋮ Sharp distortion theorems for rational functions without poles or zeros in simply connected domains

Cites Work

• On the order of stable compensators
• Single-loop feedback-stabilization of linear multivariable dynamical plants
• An algorithm for interpolation with units in \(H^{\infty}\), with applications to feedback stabilization
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