IEEE Transactions on Automatic Control · 1986 · 104 citations · 0 references
Natural SciencesMathematicsSystems EngineeringDynamical SystemsSystem DynamicsStability TheoryNonminimum Phase SystemsNonminimum-phase BehaviorStep ResponseSystem ZerosUndershootZeros
In this note we derive a simple necessary and sufficient condition for a stable system to exhibit an undershooting step response. Specifically, we show that undershoot occurs if and only if the plant has an odd number of real right-half plane zeros.