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.
|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|
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