Inverse Problems for Electrical Networks

仅由电阻组成的电网络对施加在指定端子上的电压有确定的响应. 如果已知网络的配置（拓扑）和电阻器的电阻，则可以计算该响应。 将被研究的逆问题是那些在其中的响应和电阻和/或拓扑结构是未知的，但希望。 将研究平面和非平面网络。 将研究与连续逆问题的关系。 每年夏天，八名本科生将研究这些问题。

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.