On the representation of shift-invariant operators by transfer functions

DOI10.1016/S0167-6911(97)00109-6zbMath0902.93014OpenAlexW1974482338WikidataQ56319479 ScholiaQ56319479MaRDI QIDQ1128514

Jonathan R. Partington, Banu Ünalmış

Publication date: 13 August 1998

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

Full work available at URL: https://doi.org/10.1016/s0167-6911(97)00109-6

zbMATH Keywords

transfer functions\(H_{\infty}\)shift-invariant operators

Mathematics Subject Classification ID

Operator-theoretic methods (93B28)

Related Items (4)

Representations and regularity of vector-valued right-shift invariant operators between half-line Bessel potential spaces ⋮ On BIBO Stability of Infinite-Dimensional Linear State-Space Systems ⋮ On the windowed Fourier transform and wavelet transform of almost periodic functions ⋮ On the connection between the exponential stability of \(C_{0}\)-semigroups and the admissibility of a certain Sobolev space

Cites Work

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• The stability of input-output dynamical systems
• Lethargy results in LTI system modelling
• Representation of shift-invariant operators on \(L^ 2\) by \(H^{\infty}\) transfer functions: An elementary proof, a generalization to \(L^ p\), and a counterexample for \(L^{\infty}\)
• Analytical Foundations of Volterra Series
• Bounded Power Signal Spaces for Robust Control and Modeling
• A Construction of Rational Wavelets and Frames in Hardy--Sobolev Spaces With Applications to System Modeling

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