The stability of neutral systems with two cross-talking delays is investigated using the method of cluster treatment of characteristic roots (CTCR). here are two main outcomes of this study: (a) Generation of the well-known delay stabilizability condition as a by-product of the CTCR procedure. This is achieved by a small delay stability treatment over the system. We also demonstrate for the delay-stabilizable systems the exact bounds of the stability regions in the domain of the delays. (b) Validation of these stability regions using an alternative point-wise algorithm, which computes the right-most roots of the characteristic quasi-polynomial.
time-delay system, neutral system, delay-dependent stability
Industrial Engineering | Mechanical Engineering
Copyright © 2006 IFAC
Olgac, Nejat; Vyhlídal, Tomáš; and Sipahi, Rifat, "Exact stability analysis of neutral systems with cross-talking delays" (2006). Mechanical and Industrial Engineering Faculty Publications. Paper 45.
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