Old and new in stability analysis of cushing equation A geometric perspective

Abstract

This paper focuses on the characterization of the stability crossing curves of a class of linear systems including gamma-distributed delays with a gap. More explicitly, we compute the crossing set, which consists of all frequencies corresponding to all points on the stability crossing curve, and we give their complete classification. Furthermore, the directions in which the zeros cross the imaginary axis are explicitly expressed. One illustrative example complete the paper

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