This paper deals with the problem of extrema, which may occur, in the step-response of a linear system with real zeros and poles. Necessary and sufficient conditions for extrema, overshoot and undershoot in the step-response of n > 2 order continuous time transfer functions with distinct poles and one real zero are given. The results are expressed in terms of the locations of poles and zeros of the corresponding transfer-function.
Extrema; overshoot; undershoot; poles; zero
