Perturbation of strongly and polynomially stable Riesz-spectral operators

DOI10.1016/j.sysconle.2011.01.005zbMath1217.47081OpenAlexW2000221830MaRDI QIDQ533795

Lassi Paunonen

Publication date: 6 May 2011

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

Full work available at URL: https://doi.org/10.1016/j.sysconle.2011.01.005

zbMATH Keywords

perturbationstrongly continuous semigroupstrong stabilitypolynomial stabilityRiesz-spectral operator

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Perturbation theory of linear operators (47A55)

Related Items

Stability of infinite-dimensional sampled-data systems with unbounded control operators and perturbations ⋮ Unnamed Item ⋮ Controllability and observability of nonautonomous Riesz-spectral systems ⋮ Sufficient and necessary conditions for the solvability of the state feedback regulation problem ⋮ Robust output regulation and the preservation of polynomial closed-loop stability ⋮ Robustness of polynomial stability with respect to sampling ⋮ Strong Stability of Sampled-Data Riesz-Spectral Systems ⋮ Robust controller design for infinite‐dimensional exosystems ⋮ Robustness of strongly and polynomially stable semigroups ⋮ The Cayley transform of the generator of a polynomially stable \(C_0\)-semigroup ⋮ Semi-uniform input-to-state stability of infinite-dimensional systems

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