Computational assessment of methods to analytically obtain the transient response of LTI circuits

Abstract

SUMMARYThis paper reviews and compares the computational cost of several methods to analytically obtain the natural response of linear time-invariant (LTI) circuits. In particular, the analysis is focused on three methods: eigensystem-based procedure, Vandermonde matrix method and Lagrange interpolation formula. The computational cost of repeated solutions, in which only the initial conditions change, is also studied. Finally, the computational cost of the eigensystem-based approach, the winner of the analytical class of methods, is compared with that of the numerical integration approach for different number of integration steps and scenarios.