论文标题
减少了扩散耦合网络系统的订单建模：最佳边缘加权方法
Reduced Order Modeling of Diffusively Coupled Network Systems: An Optimal Edge Weighting Approach
论文作者
论文摘要
本文研究了具有紧密连接拓扑的动态网络的阶数模型。给定一个原始复杂网络的图形聚类，我们构造了一个商图，其顶点数量较少，其中边缘权重是要确定的参数。因此，使用参数化的系统矩阵获得了还原网络的模型，然后设计了一个边缘加权过程，旨在选择一组最佳的边缘权重集，以最大程度地减少原始订购网络模型之间的近似误差，以H2-norm的形式。通过数值示例说明了所提出方法的有效性。
This paper studies reduced-order modeling of dynamic networks with strongly connected topology. Given a graph clustering of an original complex network, we construct a quotient graph with less number of vertices, where the edge weights are parameters to be determined. The model of the reduced network is thereby obtained with parameterized system matrices, and then an edge weighting procedure is devised, aiming to select an optimal set of edge weights that minimizes the approximation error between the original and the reduced-order network models in terms of H2-norm. The effectiveness of the proposed method is illustrated by a numerical example.
