Control Systems
The input-output relationship of a linear time invariant continuous time system is given by r(t) = d²c(t)/dt² + 3 dc(t)/dt + 2 c(t) Where r(t) and c(t) are input and output respectively. What is the transfer function of the system equal to?

 1/(s² + 3s + 2)
 2/(s² + 3s + 2)
 1/(s² + s + 2)
 2/(s² + s + 2)

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Control Systems
Find the conditions for the system to be stable?

 Gain margin is negative but phase margin is positive
 Gain margin is positive but phase margin is negative
 Gain margin and phase margins are positive
 Gain margin and phase margins are negative

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