语种:	eng
中图分类法:	TP273 版次：
著者:	Li, Xu-Guang,
题名:	Analytic curve frequency-sweeping stability tests for systems with commensurate delays / / ,
载体形态:	xviii, 130 pages : illustrations ; 24 cm.
内容提要:	In this brief the authors establish a new frequency-sweeping framework to solve the complete stability problem for time-delay systems with commensurate delays. The text describes an analytic curve perspective which allows a deeper understanding of spectral properties focusing on the asymptotic behavior of the characteristic roots located on the imaginary axis as well as on properties invariant with respect to the delay parameters. This asymptotic behavior is shown to be related by another novel concept, the dual Puiseux series which helps make frequency-sweeping curves useful in the study of general time-delay systems. The comparison of Puiseux and dual Puiseux series leads to three important results: an explicit function of the number of unstable roots si