Answers are grounded in this paper and cite their sources.
The paper considers the restrictions which must be placed on the poles and zeros of a system function of a linear system with lumped constants in order that the response of the system to a step-function drive should be monotonic. Necessary and sufficient restrictions are derived for a system function (driving-function/response-function) containing up to three zeros, and these are interpreted as permissible pole-zero positions on the complex plane for the one- and two-zero cases and also for a number of instances in the three-zero case.The paper concludes with a method of obtaining sufficient conditions for monotonic response in the case of more complicated system functions from the results given in the paper.
No takes yet. Share an insight, caveat, or question.
O.P.D. Cutteridge (1954) studied this question.
Synapse has enriched 10 related papers. Consider them for comparative context: