Abstract:Suppose that a continuous-time linear infinite-dimensional system with a static state-feedback controller is strongly stable. We address the following question: If we convert the continuous-time controller to a sampled-data controller by applying an idealized sampler and a zeroorder hold, will the resulting sampled-data system be strongly stable for all sufficient small sampling periods? In this paper, we restrict our attention to the situation where the generator of the open-loop system is a Riesz-spectral op… Show more
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