Robustness of strong stability of semigroups

DOI10.1016/j.jde.2014.08.011zbMath1320.47045arXiv1306.5674OpenAlexW2049894267MaRDI QIDQ462903

Lassi Paunonen

Publication date: 22 October 2014

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1306.5674

zbMATH Keywords

robustnessstrongly continuous semigroupsstrong stabilitypolynomial stability

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Robust stability (93D09) Perturbation theory of linear operators (47A55)

Related Items (9)

Stability of infinite-dimensional sampled-data systems with unbounded control operators and perturbations ⋮ Stability analysis in continuous and discrete time, using the Cayley transform ⋮ Robustness of polynomial stability of damped wave equations ⋮ Robustness of polynomial stability with respect to sampling ⋮ Stability analysis of perturbed infinite-dimensional sampled-data systems ⋮ Strong Stability of Sampled-Data Riesz-Spectral Systems ⋮ Comparison of direct and perturbation approaches to analysis of infinite-dimensional feedback control systems ⋮ Robustness of strong stability of discrete semigroups ⋮ Strong and polynomial stability for delay semigroups

Cites Work

• Decay estimates of functions through singular extensions of vector-valued Laplace transforms
• Optimal polynomial decay of functions and operator semigroups
• Non-uniform stability for bounded semi-groups on Banach spaces
• Conditions on the generator of a uniformly bounded \(C_0\)-semigroup
• Robustness of strongly and polynomially stable semigroups
• Robustness of polynomial stability with respect to unbounded perturbations
• The functional calculus for sectorial operators
• Robust output regulation and the preservation of polynomial closed-loop stability
• Polynomial stability of operator semigroups
• Asymptotic stability of linear differential equations in Banach spaces
• Tauberian Theorems and Stability of One-Parameter Semigroups
• One-Parameter Semigroups for Linear Evolution Equations
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