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Data rate limitations for observability of nonlinear systems

机译：非线性系统可观测性的数据速率限制

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The paper deals with observation of nonlinear and deterministic, though maybe chaotic, discrete-time systems via finite capacity communication channels. We consider various types of observability, and offer new tractable analytical techniques for both upper and lower estimation of the threshold that separates data rates for which reliable state observation is and is not possible, respectively. The main results are illustrated via their application to two celebrated samples of chaotic systems associated with the logistic and Lozi maps, respectively. In these cases, the thresholds attributed to some of the considered notions of observability are found in a closed form; they are shown to continuously depend on the parameters of the Lozi system.
机译：本文研究了通过有限容量通信通道对非线性和确定性（尽管可能是混沌的，离散时间）系统的观察。我们考虑了各种类型的可观察性，并针对阈值的上下估算提供了新的易于处理的分析技术，这些阈值分别分离了可靠状态观察和不可能观察到的数据速率。通过将其应用到分别与逻辑图和洛兹图相关联的两个著名的混沌系统样本中，可以说明主要结果。在这些情况下，归因于某些可观察性概念的阈值以封闭形式找到;它们显示出持续依赖于Lozi系统的参数。

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