engineering recuitment NIELIT Scientific Assistant Mock Test 2025 Control Systems Time Response Analysis
A system has the input-output relation \(\frac{{dc\left( t \right)}}{{dt}} + 2c\left( t \right) = r\left( t \right)\), where c(t) is the output and r(t) is the input to the system. Determine the unit step response of the system.
1
c(t) = 0.5(1 + e-2t), t > 0
2
c(t) = 0.5(1 – e-2t), -∞ < t < ∞
3
c(t) = 0.5(1 – e-2t), t > 0
4
c(t) = 0.5(1 – e2t), t > 0