Exact stability analysis of neutral systems with cross-talking delays
Time Delay Systems, Volume # 6 | Part# 1
Nejat Olgac; Tomáš Vyhlídal; Rifat Sipahi
Digital Object Identifier (DOI)
time-delay system,neutral system,delay-dependent stability
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.
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