Control Systems
The transfer function of phase lead compensator is given by , where, T > 0, α < 0. What is the maximum phase shift provided by this compensator?

 sin-1((1 - α)/(1 + α)
 cos-1((1 - α)/(1 + α)
 both 1 and 3
 tan-1((1 - α)/(2√α)

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Control Systems
A cascade of three linear time invariant systems is causal and unstable. From this we conclude that

 at least one system is unstable and at least one system is causal.
 each system in the cascade is individually caused and unstable.
 at least one system is causal and all systems are unstable.
 the majority are unstable and the majority are causal.

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