On the Takagi interpolation problem

DOI10.1016/j.laa.2007.02.020zbMath1123.93039OpenAlexW1995851630MaRDI QIDQ998186

Osamu Kaneko, Paolo Rapisarda

Publication date: 27 August 2007

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://eprints.soton.ac.uk/263254/1/FuhrmaannFestschrift3.pdf

zbMATH Keywords

interpolationbehavioral systems theorymost powerful unfalsified modelexact identificationpolynomial matrix algebra

Mathematics Subject Classification ID

Related Items (5)

A bilinear differential forms approach to parametric structured state-space modelling ⋮ Reprint of ``A bilinear differential forms approach to parametric structured state-space modelling ⋮ Algorithms for polynomial spectral factorization and bounded-real balanced state space representations ⋮ Discrete Roesser state models from 2D frequency data ⋮ State-Space Modeling of Two-Dimensional Vector-Exponential Trajectories

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Regulation as an interpolation problem
• On the problem of stable rational interpolation
• From time series to linear system. I: Finite dimensional linear time invariant systems
• From time series to linear system, II. Exact modelling
• The subspace Nevanlinna interpolation problem and the most powerful unfalsified model
• New algorithms for polynomial \(J\)-spectral factorization
• Errata to: Two-sided tangential interpolation of real rational matrix functions
• Fast state space algorithms for matrix Nehari and Nehari-Takagi interpolation problems
• Recursive solutions of rational interpolation problems via fast matrix factorization
• Recursive exact \(H_{\infty }\)-identification from impulse-response measurements
• Robust stabilizability for a class of transfer functions
• Transcendental and Interpolation Methods in Simultaneous Stabilization and Simultaneous Partial Pole Placement Problems
• Conjugation, interpolation and model-matching in H∞
• Feedback stabilization of linear dynamical plants with uncertainty in the gain factor
• Paradigms and puzzles in the theory of dynamical systems
• On Quadratic Differential Forms
• A behavioral approach to linear exact modeling
• Displacement Structure and Completion Problems
• A Behavioural Approach to Positive Real Interpolation
• H/sub ∞/ control in a behavioral context: the full information case
• Pick Matrix Conditions for Sign-Definite Solutions of the Algebraic Riccati Equation
• Displacement Structure: Theory and Applications

This page was built for publication: On the Takagi interpolation problem