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A practical method for the consistent identification of a module in a dynamical network

机译:动态网络中模块一致性识别的实用方法

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We present a new and simple method for the identification of a single transfer function that is embedded in a dynamical network. In existing methods the consistent identification of the desired transfer function relies on the positive definiteness of the spectral density matrix of the vector of node signals, and it typically requires knowledge of information about the topology and the excitation of the whole network. The positivity condition is on the internal signals and therefore can not be guaranteed a priori; in addition it is not necessary. The new method of this paper provides simple conditions on which nodes to excite and which nodes to measure in order to produce a consistent estimate of the desired transfer function. Just as importantly, it requires knowledge of the local topology and excitation only.
机译:我们提出了一种新的简单方法,用于识别嵌入在动态网络中的单个传递函数。在现有方法中,对所需传递函数的一致识别依赖于节点信号矢量的频谱密度矩阵的正确定性,并且通常需要了解有关拓扑和整个网络的激励的信息。阳性条件取决于内部信号,因此不能保证先验。另外没有必要。本文的新方法提供了简单的条件,可以激发哪些节点和要测量哪些节点,以产生所需传递函数的一致估计。同样重要的是,它只需要了解局部拓扑和激励。

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