Environmental Engineering Reference
In-Depth Information
Because and are
constant, the only computation required for each simulation window is
to obtain
and
4. Inconsistent Initial Conditions
Similar to periodically switched linear circuits, inconsistent initial con-
ditions may occur at switching instants in periodically switched nonlin-
ear circuits. In this section, we extend the two-step algorithm for com-
puting from of periodically switched linear circuits to
periodically switched nonlinear circuits.
Suppose a switching occurs at and the initial conditions of the
Volterra circuit immediately before the switching instant are
given by
The forward step from
to
yields
and
The step size must be properly chosen such that
A backward step from
to
is then
taken to yield
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