Robustness of strongly and polynomially stable semigroups

DOI10.1016/j.jfa.2012.08.023zbMath1263.47049OpenAlexW2088473632MaRDI QIDQ1760170

Lassi Paunonen

Publication date: 13 November 2012

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jfa.2012.08.023

zbMATH Keywords

robustnessperturbationpole placementstrongly continuous semigroupsstrong stabilitypolynomial stability

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Groups and semigroups of linear operators (47D03) Linear differential equations in abstract spaces (34G10) Stabilization of solutions to ordinary differential equations (34H15)

Related Items

Stability of infinite-dimensional sampled-data systems with unbounded control operators and perturbations ⋮ Robust output regulation and the preservation of polynomial closed-loop stability ⋮ Robustness of polynomial stability of damped wave equations ⋮ Robustness of polynomial stability with respect to sampling ⋮ Robustness of strong stability of semigroups ⋮ Strong Stability of Sampled-Data Riesz-Spectral Systems ⋮ Robustness of strong stability of discrete semigroups ⋮ Strong and polynomial stability for delay semigroups ⋮ The Cayley transform of the generator of a polynomially stable \(C_0\)-semigroup ⋮ Polynomial stability of semigroups generated by operator matrices ⋮ Semi-uniform input-to-state stability of infinite-dimensional systems

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