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arXiv · 2105.02441

Stability of Infinite-dimensional Sampled-data Systems with Unbounded Control Operators and Perturbations

Masashi Wakaiki
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Abstract

We analyze the robustness of the exponential stability of infinite-dimensional sampled-data systems with unbounded control operators. The unbounded perturbations we consider are the so-called Desch-Schappacher perturbations, which arise, e.g., from the boundary perturbations of systems described by partial differential equations. As the main result, we show that the exponential stability of the sampled-data system is preserved under all Desch-Schappacher perturbations sufficiently small in a certain sense.

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Masashi Wakaiki. 2021-05-06. Stability of Infinite-dimensional Sampled-data Systems with Unbounded Control Operators and Perturbations. https://arxiv.org/abs/2105.02441

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