Digital Commons Network^™

A New Perspective In The Stability Assessment Of Neutral Systems With Multiple And Cross-Talking Delays, Nejat Olgac, Tomáš Vyhlídal, Rifat Sipahi

Rifat Sipahi

The stability of neutral systems with two cross-talking delays is investigated using the method of cluster treatment of characteristic roots (CTCR). There are two main outcomes of this study: (a) we create the “strong stabilizability” (also called the “delay stabilizability”) of the system directly from the CTCR procedure. This is achieved by a small-delay stability treatment while performing the steps of the CTCR. For the “delay-stabilizable systems,” we also arrive at the exact bounds of the stability regions in the domain of the delays. (b) We deploy a point-wise algorithm which computes the rightmost roots of the characteristic quasi polynomial …