Inverse Problems for Electrical Networks

只由电阻组成的电网对施加在指定端子上的电压有明确的响应。如果已知网络的配置(拓扑)和电阻的电阻，则可以计算该响应。将研究的反问题是那些给出响应并且电阻和/或拓扑未知但需要的问题。将研究平面网络和非平面网络。我们将研究与连续反问题的关系。每个暑期有八名本科生要解决这些问题。

An electrical network consisting only of resistors has a definite responseto voltages applied at designated terminals. This response can be computed if the configuration (topology) of the network and resistances of the resistors are known. The inverse problems that will be studied are those in which the response is given and the resistances and/or topology are not known but desired. Planar and non-planar networks will be studied. Relations to continuous inverse problems will be investigated. Eight undergraduates per summer will work on these problems.