The Cayley transform of the generator of a polynomially stable C0-semigroup
Abstract
In this paper, we study the decay rate of the Cayley transform of the generator of a polynomially stable C0-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.
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