Document Type
Article
Publication Date
5-2019
Publication Title
IEEE Transactions on Automatic Control
Department
Mechanical & Industrial Engineering
Abstract
This paper presents a systematic method to analyse the stability of systems with single delay in which the coefficient polynomials of the characteristic equation depend on the delay. Such systems often arise in, for example, life science and engineering systems. A method to analyze such systems was presented by Beretta and Kuang in a 2002 paper, but with some very restrictive assumptions. This work extends their results to the general case with the exception of some degenerate cases. It is found that a much richer behavior is possible when the restrictive assumptions are removed. The interval of interest for the delay is partitioned into subintervals so that the magnitude condition generates a fixed number of frequencies as functions of the delay within each subinterval. The crossing conditions are expressed in a general form, and a simplified derivation for the first-order derivative criterion is obtained. Illustrative examples are also presented.
Recommended Citation
Jin, Chi; Gu, Keqin; Boussaada, Islam; and Niculescu, Silviu-Iulian, "Stability Analysis of a More General Class of Systems with Delay-Dependent Coefficients" (2019). SIUE Faculty Research, Scholarship, and Creative Activity. 84.
https://spark.siue.edu/siue_fac/84
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