
Some of the data points at the end of the simulated responses when T ¼0.025 s in Figure 8.34
are omitted to make it easier to visualize the discrete-time nature of the response. Several of the
simulated transient responses are quite accurate, whereas others deviate by a significant amount
from the analytical solution. The RK-2 integrator is unstable when K ¼250 and T ¼0.1 s, and the
RK-4 integrator exhibits instability for the case when K ¼250 and T ¼0.2 s. The reader should
confirm that lT ¼0.35 þj1.5740 and lT ¼0.7 þj3.1480 fall outside the stability regions for
RK-2 and RK-4, respectively.
(d) For the case when K ¼250, the continuous-time system ...