自主非线性系统的维数估计

2015 54th IEEE Conference on Decision and Control (CDC) Pub Date : 2015-12-18 DOI:10.1109/CDC.2015.7402093

Alberto Padoan, A. Astolfi

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引用次数: 2

摘要

研究了一类自治非线性系统状态空间维数的估计问题。假设输出的采样测量值及其时间导数有限，提出了一种能够检索最小状态空间实现维数的穷举搜索算法。在具体的非线性系统上对算法的性能进行了评价。

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Dimension estimation for autonomous nonlinear systems

The problem of estimating the dimension of the state-space of an autonomous nonlinear system is considered. Assuming that sampled measurements of the output and finitely many of its time derivatives are available, an exhaustive search algorithm able to retrieve the dimension of the minimal state-space realization is proposed. The performance of the algorithm are evaluated on specific nonlinear systems.

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来源期刊

2015 54th IEEE Conference on Decision and Control (CDC)

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