@stan
using of caps
1st: is to isolate harmonics of the circuit (usually small caps no polarity in pf)
2nd : big caps up to 1mf each used to prevent voltage drop due to sudden current consummation also called reservoir power supply.
transient time:
power supply have an output impedance(for example 10 ohm) and caps at the output , and also don't forget load impedance ,all of them control transient time (which is the elapsed time taken from ps to get its output voltage from zero to desired voltage.
reset function
is not the BITE circuit the BITE circuit is inside the ps or in the system that the ps is used in
if you are using the ps only for your logic circuit ,just consider the only protection is the under voltage and over current circuit,
the reset function is built by you ,because at transient time the output voltage of the ps is not stable yet ,so no one can be sure of the performance of the logic , so you build a reset function to prevent this phenomena ,that's your design
hope it helps
Zeyad