Robustness of polynomial stability with respect to sampling

DOI10.1051/cocv/2023035arXiv2205.04130OpenAlexW4380367857MaRDI QIDQ6179092

Masashi Wakaiki

Publication date: 5 September 2023

Published in: ESAIM: Control, Optimisation and Calculus of Variations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2205.04130

zbMATH Keywords

infinite-dimensional systems\(C_0\)-semigroupsampled-data systemspolynomial stability

Mathematics Subject Classification ID

Stabilization of systems by feedback (93D15) One-parameter semigroups and linear evolution equations (47D06) Sampled-data control/observation systems (93C57) Perturbation theory of linear operators (47A55) Control/observation systems in abstract spaces (93C25)

Cites Work

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• Robustness of strong stability of semigroups
• Rates of decay in the classical Katznelson-Tzafriri theorem
• Perturbation of strongly and polynomially stable Riesz-spectral operators
• Optimal polynomial decay of functions and operator semigroups
• Non-uniform stability for bounded semi-groups on Banach spaces
• Stability of operators and operator semigroups
• Robustness of linear systems
• Stability of perturbed linear distributed parameter systems
• Classes of linear operators. Vol. I
• Conditions on the generator of a uniformly bounded \(C_0\)-semigroup
• Characteristic conditions of the generation of \(C_0\) semigroups in a Hilbert space
• Optimal rates of decay for operator semigroups on Hilbert spaces
• Robustness of strongly and polynomially stable semigroups
• Robustness of polynomial stability with respect to unbounded perturbations
• Strong and polynomial stability for delay semigroups
• The Cayley transform of the generator of a polynomially stable \(C_0\)-semigroup
• Optimal rates of decay in the Katznelson-Tzafriri theorem for operators on Hilbert spaces
• Polynomial stability of semigroups generated by operator matrices
• Characterization of polynomial decay rate for the solution of linear evolution equation
• The functional calculus for sectorial operators
• Remarks on rates of convergence of powers of contractions
• A quantified Tauberian theorem for sequences
• Polynomial stability of operator semigroups
• On Robustness of Strongly Stable Semigroups with Spectrum on $$i\mathbb {R}$$
• Asymptotic stability of linear differential equations in Banach spaces
• Tauberian Theorems and Stability of One-Parameter Semigroups
• One-Parameter Semigroups for Linear Evolution Equations
• Classical Polylogarithms
• Stability of infinite-dimensional sampled-data systems
• On Spectrum and Riesz Basis Assignment of Infinite-Dimensional Linear Systems by Bounded Linear Feedbacks
• Introduction to Infinite-Dimensional Systems Theory
• Some developments around the Katznelson–Tzafriri theorem
• Strong Stability of Sampled-Data Riesz-Spectral Systems
• Nonrobustness of closed-loop stability for infinite-dimensional systems under sample and hold
• Robustness With Respect to Sampling for Stabilization of Riesz Spectral Systems
• Control of Wave and Beam PDEs

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