27th Conference of the International Linear Algebra Society (ILAS 2026)

Characterization of the response of electric circuits with two kinds of passive elements

May 21, 2026, 2:50 PM

25m

Torgersen Hall 1040

Minisymposium Talk Model- and Data-driven Reduced-order Models and Their Applications in Inverse Problems Model- and Data-driven Reduced-order Models and Their Applications in Inverse Problems

Speaker

Fernando Guevara Vasquez (University of Utah)

Description

The response matrix of an electrical circuits composed of two kinds of passive elements (e.g. LC, RC, CL...) is a matrix-valued rational function of the frequency that associates time-harmonic voltages at some terminal nodes to time-harmonic currents. We present necessary conditions that must be satisfied by the response matrix. These conditions can be used to construct circuits whose response matches prescribed poles, with some exceptions. Progress towards a full characterization will be presented.