Frequency Response and Transfer Functions of Large Self-similar Networks
Frequency Response and Transfer Functions of Large Self-similar Networks
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DOI：
10.1115/1.4054645
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发表时间：
2020-10
期刊：
影响因子：
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通讯作者：
Xiangyu Ni;B. Goodwine
中科院分区：
文献类型：
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作者：
Xiangyu Ni;B. Goodwine
大规模动力系统，无论是否具有互联的外观，经常被建模为网络。然而，很少有人从频域的角度进行研究，主要是由于评估其频率响应的复杂性。本文提出了一种计算一般自相似网络的频率响应和传递函数的算法，无论它们是有限的还是无限的，是有损伤的还是无损伤的。此外，本文表明，对于无限自相似网络，即使当它们被损坏时，分数阶和非理性动力学也会自然出现。最重要的是，本文说明了网络在不同的操作条件下，其频率响应将形成一组相邻的植物，这奠定了基础，应用鲁棒控制方法的动态网络。
Large-scale dynamical systems, no matter whether possessing interconnected appearances, are frequently modeled as networks. However, few of them have been studied from the perspective of the frequency domain, mostly due to the complexity of evaluating their frequency response. That gap is filled by this paper which proposes algorithms computing a general class of self-similar networks' frequency response and transfer functions, no matter they are finite or infinite, damaged or undamaged. In addition, this paper shows that for infinite self-similar networks, even when they are damaged, fractional-order and irrational dynamics naturally come into sight. Most importantly, this paper illustrates that for a network under different operating conditions, its frequency response would form a set of neighboring plants, which sets the basis of applying robust control methods to dynamic networks.