On systems with spectral cluster points and their relation toHpspaces

DOI10.1080/00207178408933246zbMath0545.93049OpenAlexW2064195801MaRDI QIDQ3337324

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Publication date: 1984

Published in: International Journal of Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207178408933246

zbMATH Keywords

distributed parameter systemstransfer functionsroot locuscluster pointsystems with compact resolvent

Mathematics Subject Classification ID

Control/observation systems governed by partial differential equations (93C20) Stabilization of systems by feedback (93D15) Linear systems in control theory (93C05) Spectrum, resolvent (47A10) Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15) Riemann surfaces (30F99)

Cites Work

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• Delay equations, the left-shift operator and the infinite-dimensional root locus
• Computation of transmission zeros for distributed parameter systems
• $H^2 $-Functions and Infinite-Dimensional Realization Theory
• Blaschke products generate 𝐻^{∞}

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