On observability gramian of a parallel-flow heat exchanger equation with diffusion terms
On observability gramian of a parallel-flow heat exchanger equation with diffusion terms
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含扩散项的并流换热器方程的可观性格拉曼
DOI：
10.1093/imamci/dns037
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发表时间：
2013
期刊：
影响因子：
--
通讯作者：
Hideki Sano
中科院分区：
文献类型：
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作者：
N. Ikawa;A. Morimoto;and R. Ashino;関根順;樋口 保成;Jun Sekine;M. Bahri and R. Ashino;Y. Fukumoto;樋口保成;Hideki Sano
本文讨论了一类具有扩散项的平行流双流体换热器方程的可观性及相关问题。给出了两种边界观测下的可观测性结果，并讨论了可观测性文法的特征值。当考虑在观测下估计初始状态的反问题时，从物理角度来看，预计在一个出口观测下的初始状态的重建比在两个出口观测下的初始状态的重建更加困难。本文的目的是用可观测性文法的本征值来解释直观事实。
This paper is concerned with observability and the related problem for a parallel flow two-fluid heat exchanger equation with diffusive terms. The observability results are stated under two kinds of boundary observations and the eigenvalues of the observability gramians are discussed. When one considers the inverse problem of estimating the initial states under the observations, it is expected that the reconstruction of the initial states under the observation at one outlet becomes more difficult than that under the observation at two outlets, from the physical point of view. The purpose of this paper is to explain the intuitive fact by using the eigenvalues of the observability gramians.