Monotonic transient response

Non-decreasing step responses whose transfer functions are subclass 𝑘

“…The second class is comprised of those rational system functions whose corresponding unit step responses are non-decreasing [9][10][11][12], Such functions are of interest in those applications where an overshoot in the step response is to be avoided. For instance, this is often the case in measuring apparatus.…”

“…Of course, the results that will be developed here are useful only if it is known that the step response is monotonic increasing. Various sets of sufficient conditions that insure this are given in [9][10][11][12],…”