Complete stability map of first order - two time delay systems with delay cross-talk

Rifat Sipahi, University of Connecticut
Nejat Olgac, University of Connecticut

Article comments

Preprint of a paper presented at the 5th IFAC Symposium on Robust Control Design (ROCOND'06), Toulouse, France, July 5-7, 2006. DOI:10.3182/20060705-3-FR-2907.00108

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

Abstract

First order linear time invariant dynamics is taken into account with two delays. A unique feature is included in this study, from the stability perspective: a term that represents the cross-talk between the two delays. This class of systems can be treated by a unique procedure, which is recently developed, known as Cluster Treatment of Characteristic Roots (CTCR). In the text we present several case studies to display the steps and the strengths of CTCR. We also include some comparison results with respect to a cornerstone study (Hale, and Huang, 1993), which gives a wonderful point of reference for this class of systems, however without the delay cross-talk effect.