State-Space Formulas for the Nehari--Takagi Problem for Nonexponentially Stable Infinite-Dimensional Systems

DOI10.1137/S0363012903433024zbMath1091.93004OpenAlexW2061812069MaRDI QIDQ5317142

Joseph A. Ball, Amol J. Sasane, Kalle M. Mikkola

Publication date: 15 September 2005

Published in: SIAM Journal on Control and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/s0363012903433024

zbMATH Keywords

infinite-dimensional systemsNehari-Takagi problemstate-space formulasSuboptimal Hakel norm approximation problem

Mathematics Subject Classification ID

Operator-theoretic methods (93B28) Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Applications of operator theory in systems, signals, circuits, and control theory (47N70) Approximation by other special function classes (41A30) Linear operators on spaces with an indefinite metric (47B50)

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A Grassmannian band method approach to the Nehari--Takagi problem ⋮ Nevanlinna-Pick Interpolation via Graph Spaces and Kreĭn-space Geometry: A Survey

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