Abstract

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.

Notes

Paper presented at the 6th IFAC Workshop on Time Delay Systems (L'Aquila, Italy, 2006). DOI:10.3182/20060710-3-IT-4901.00029

Dr. Sipahi is affiliated with Northeastern University as of the time of deposit.

Keywords

time-delay system, neutral system, delay-dependent stability

Disciplines

Industrial Engineering | Mechanical Engineering

Publisher

IFAC

Publication Date

1-1-2006

Rights Information

Copyright © 2006 IFAC

Rights Holder

IFAC


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