\(L_{\infty}\) approximation and nuclearity of delay systems

DOI10.1016/0167-6911(88)90041-2zbMath0641.93018OpenAlexW2021881468WikidataQ56319575 ScholiaQ56319575MaRDI QIDQ1101050

Ruth F. Curtain, Jonathan R. Partington, Hans J. Zwart, Keith Glover

Publication date: 1988

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

Full work available at URL: https://doi.org/10.1016/0167-6911(88)90041-2

zbMATH Keywords

Hankel operatornuclearityspectral approximationsSingle-input single-output delay systems

Mathematics Subject Classification ID

Linear systems in control theory (93C05) Operator-theoretic methods (93B28) Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Approximation by rational functions (41A20) Control problems for functional-differential equations (34K35) Control/observation systems in abstract spaces (93C25) Realizations from input-output data (93B15)

Related Items

\(L^ \infty\) approximation of a parabolic system regarded as a delay system, Approximation of delay systems—a case study, Partial fraction expansions for delay systems, A note on spectral realisations for delay systems, Robust stabilization of delay systems by approximation of coprime factors, On the structure of suboptimal \(H^ \infty\) controllers in the sensitivity minimization problem for distributed stable plants, Approximation of transfer functions of infinite dimensional dynamical systems by rational interpolants with prescribed poles, Approximation of delay systems by Fourier-Laguerre series, Rational approximation of a class of infinite-dimensional systems. I: Singular values of Hankel operators, Rational approximation of a class of infinite-dimensional systems. II: Optimnal convergence rates of \(L_{\infty}\) approximants, Approximation of unstable infinite-dimensional systems using coprime factors, Nyquist stability criterion and positive-realness of sampled-data systems

Cites Work

• Rational approximation of a class of infinite-dimensional systems. I: Singular values of Hankel operators
• Partial fraction expansions for delay systems
• Controller design for distributed systems based on Hankel-norm approximations
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