The Cayley transform of the generator of a polynomially stable $C_0$-semigroup
Optimization and Control
2021-06-11 v3 Functional Analysis
Abstract
In this paper, we study the decay rate of the Cayley transform of the generator of a polynomially stable -semigroup. To estimate the decay rate of the Cayley transform, for polynomial stability. Using this integral condition, we relate polynomial stability to Lyapunov equations. We also study robustness of polynomial stability for a certain class of structured perturbations.
Keywords
Cite
@article{arxiv.2103.10553,
title = {The Cayley transform of the generator of a polynomially stable $C_0$-semigroup},
author = {Masashi Wakaiki},
journal= {arXiv preprint arXiv:2103.10553},
year = {2021}
}
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23 pages