What conditions would have to be true for the response of this new system to be the same as the series system in Example 5.1, whose parameters are given in the following table?

System 1 2 3 4
dead time 0.40 0.90 1.2 1.7
time constant 1.5 3.3 5.2 0.95
gain 1.0 0.25 3.0 1.33