论文标题
在扩散耦合动力学的网络中定位线和节点干扰
Locating line and node disturbances in networks of diffusively coupled dynamical agents
论文作者
论文摘要
各种各样的天然和人为系统由一组耦合到复杂结构的动力单元组成。这种系统的崩溃可能会产生巨大的影响，例如大脑中的神经元或电网中的线条，仅举几例。防止此类灾难性事件特别需要能够尽快检测和定位干扰来源。我们提出了一种简单的方法，以识别和定位在耦合动力学剂的网络中，仅依靠时间序列测量以及（可能是KRON还原）网络结构的知识。当前方法的强度和吸引力在于其简单性与精确定位干扰甚至区分线路和节点干扰之间的能力相吻合。如果我们只能在节点的子集中访问测量，则如果测量了干扰的节点，我们的方法仍然能够识别干扰的位置。如果没有，我们设法确定了发生干扰发生的网络区域。
A wide variety of natural and human-made systems consist of a large set of dynamical units coupled into a complex structure. Breakdown of such systems can have a dramatic impact, as in the case of neurons in the brain or lines in an electric grid, to name but a few. Preventing such catastrophic events requires in particular to be able to detect and locate the source of disturbances as fast as possible. We propose a simple method to identify and locate disturbances in networks of coupled dynamical agents, relying only on time series measurements and on the knowledge of the (possibly Kron-reduced) network structure. The strength and the appeal of the present approach lies in its simplicity paired with the ability to precisely locate disturbances and even to differentiate between line and node disturbances. If we have access to measurement at only a subset of nodes, our method is still able to identify the location of the disturbance if the disturbed nodes are measured. If not, we manage to identify the region of the network where the disturbance occurs.
