Control Systems
A proportional plus derivative controller

 improves the steady state accuracy
 has high sensitivity
 increases the stability of the system
 both 1 and 2

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

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