论文标题
网络同步过程的传播稳定概念
Propagation Stability Concepts for Network Synchronization Processes
论文作者
论文摘要
动态网络过程的扰动传播稳定性的概念是根据沿距干扰源的切口的输入输出能量度量的衰老来定义的。为线性耦合均相子系统同步的规范模型开发了干扰传播概念的表征。具体而言，传播稳定性等于某个局部闭环模型的频率响应，该模型是从子系统模型和本地网络连接定义的，这是亚统通增益。对于子系统是单输入单输出（SISO）的情况，就可以获得子系统的开放循环nyquist图的进一步简化。简要开发了扰动传播稳定性概念向不渗透到干扰的不渗透性的扩展，并考虑了一个专注于具有平面子系统的网络的例子。
A notion of disturbance propagation stability is defined for dynamical network processes, in terms of decrescence of an input-output energy metric along cutsets away from the disturbance source. A characterization of the disturbance propagation notion is developed for a canonical model for synchronization of linearly-coupled homogeneous subsystems. Specifically, propagation stability is equivalenced with the frequency response of a certain local closed-loop model, which is defined from the subsystem model and local network connections, being sub-unity gain. For the case where the subsystem is single-input single-output (SISO), a further simplification in terms of the subsystem's open loop Nyquist plot is obtained. An extension of the disturbance propagation stability concept toward imperviousness of subnetworks to disturbances is briefly developed, and an example focused on networks with planar subsystems is considered.
