Dissertation/Thesis Abstract

Stability Crossing Set for Systems with Three Scalar Delay Channels
by Zheng, Xie, M.S., Southern Illinois University at Edwardsville, 2013, 89; 1552303
Abstract (Summary)

The characteristic function of a system with three scalar delay channels typically involve the cross terms of different delays. This article studies the geometric structure of the stability crossing set, which is defined as the set of delays with at least one characteristic root on the imaginary axis. The understanding of this geometric structure leads to a good understanding of the stable regions of the delay parameter space. The presence of the coupling terms significantly complicates the analysis, and a thorough analysis requires a substantial amount of numerical computation. Examples are presented to illustrate the main concept and procedures.

Indexing (document details)
Advisor: Gu, Keqin
Commitee: Gorlewicz, Jenna, Wang, Xin
School: Southern Illinois University at Edwardsville
Department: Mechanical and Industrial Engineering
School Location: United States -- Illinois
Source: MAI 52/05M(E), Masters Abstracts International
Subjects: Mathematics, Electrical engineering, Mechanical engineering
Keywords: Delay channel, Stability, Time delay
Publication Number: 1552303
ISBN: 978-1-303-71712-3
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