Stability analysis in continuous and discrete time, using the Cayley transform

DOI10.1007/s00020-010-1805-8zbMath1226.47047OpenAlexW2018754401MaRDI QIDQ616751

Niels Besseling, Hans J. Zwart

Publication date: 12 January 2011

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00020-010-1805-8

zbMATH Keywords

stabilitydiscrete timecontinuous time\(C_{0}\)-semigroupsBergman distance

Mathematics Subject Classification ID

Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05) (C)-semigroups, regularized semigroups (47D60)

Related Items (2)

\(C_0\)-semigroups and resolvent operators approximated by Laguerre expansions ⋮ Strong Stability of Sampled-Data Riesz-Spectral Systems

Cites Work

• Robustness of strong stability of semigroups
• On the relation between stability of continuous- and discrete-time evolution equations via the Cayley transform
• One-Parameter Semigroups for Linear Evolution Equations
• A Paley-Wiener theorem for Bergman spaces with application to invariant subspaces
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