EC > GATE 2024 > Time-Domain Analysis
Consider a unity negative feedback control system with forward path gain $G(s)=\frac{K}{(s+1)(s+2)(s+3)}$ as shown.
The impulse response of the closed-loop system decays faster than $e^{-t}$ if
A
$1≤K≤5$
B
$7≤K≤21$
C
$-4≤K<-1$
D
$-24≤K≤-6$

Correct : B

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