多维Stefan问题中的参数估计

Proceedings of the 28th IEEE Conference on Decision and Control, Pub Date : 1989-12-13 DOI:10.1109/CDC.1989.70189

K. Murphy

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引用次数: 0

摘要

描述了多维Stefan问题中未知参数估计的一种数值算法。移动边界被视为一个额外的未知参数，而不是作为系统的动态状态。一个类似的算法已经被测试用于一维Stefan问题，并且在噪声观测下表现出鲁棒性。给出了一个收敛结果，并给出了一个简单数值算例的结果。

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Parameter estimation in the multidimensional Stefan problem

A numerical algorithm for the estimation of unknown parameters in the multidimensional Stefan problem is described. The moving boundary is treated as an additional unknown parameter, rather than as a dynamic state of the system. A similar algorithm has been tested for the one-dimensional Stefan problem and appears to be robust under noisy observations. A convergence result is stated, and results for a simpler numerical example are presented.<>

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Proceedings of the 28th IEEE Conference on Decision and Control,

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