SAMPLED-DATA SIMULATION OF PERIODICALLY SWITCHED LINEAR CIRCUITS - Computer Methods for Analysis of Mixed-Mode Switching Circuits - page 114

2. Inconsistent Initial Conditions
It was shown in Chapter 2 that if the initial transient portion of the
response of mixed-mode switching circuits is not of a critical concern, it
is advantageous computationally to model switches as an ideal device.
Ideal switching, however, may cause an abrupt change in nodal voltages
or branch currents, giving rise to inconsistent initial conditions.
In Chapter 5, several numerical algorithms for computing from
of both linear and nonlinear switching circuits were examined in
detail. For linear circuits, the two-step method that is based on numeri-
cal Laplace inversion not only yields the correct consistent initial condi-
tions at switching instants, it also provides better accuracy as compared
with those that are based on backward Euler formula. In this section we
show that by incorporating the numerical Laplace inversion based two-
step algorithm into the preceding sampled-data simulation algorithm for
periodically switched linear circuits, the inconsistent initial conditions of
these circuits can be handled effectively [50].