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arXiv · 2308.15082

Frequency-domain criterion on the stabilizability for infinite-dimensional linear control systems

Karl Kunisch·Gengsheng Wang·Huaiqiang Yu
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Abstract

A quantitative frequency-domain condition related to the exponential stabilizability for infinite-dimensional linear control systems is presented. It is proven that this condition is necessary and sufficient for the stabilizability of special systems, while it is a necessary condition for the stabilizability in general. Applications are provided.

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Karl Kunisch, Gengsheng Wang, Huaiqiang Yu. 2023-08-29. Frequency-domain criterion on the stabilizability for infinite-dimensional linear control systems. https://arxiv.org/abs/2308.15082

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