论文标题
关于网络同步过程的输入输出指标的空间模式
On the Spatial Pattern of Input-Output Metrics for a Network Synchronization Process
论文作者
论文摘要
对标准离散时间线性同步模型的输入输出（传输）指标进行了图理论分析，包括LP增益，频率响应，频率波段能量和Markov参数。我们表明，这些转移指标表现出空间降解，因此它们沿着顶点切割术在远离外源输入的顶点剪切方面单调非注射。我们使用此空间分析来表征由过程噪声驱动的扩散网络中的信噪比（SNR），并为动态网络开发了传播稳定性的概念。最后，通过一个示例说明了形式的结果。
A graph-theoretic analysis is undertaken for a compendium of input-output (transfer) metrics of a standard discrete-time linear synchronization model, including lp gains, frequency responses, frequency-band energy, and Markov parameters. We show that these transfer metrics exhibit a spatial degradation, such that they are monotonically nonincreasing along vertex cutsets away from an exogenous input. We use this spatial analysis to characterize signal-to-noise ratios (SNRs) in diffusive networks driven by process noise, and to develop a notion of propagation stability for dynamical networks. Finally, the formal results are illustrated through an example.
