We present a little overview about different regularization approaches for electrical circuits. Most of them treat model equations arising from the modified nodal analysis (MNA). They are of the most practical relevance since the well established circuit simulators used in semiconductor industry apply the MNA procedure to generate the circuit equations. Additionally, we discuss some hybrid modeling approaches that are proved to provide more stable model formulations than the standard MNA approach.
Tischendorf, C. (2015). Regularization of electrical circuits. IFAC-PapersOnLine, 28(1), 312–313. https://doi.org/10.1016/j.ifacol.2015.05.216