DocumentCode :
3170067
Title :
High-Order Analysis Of Critical Stability Properties of Linear Time-Delay Systems
Author :
Fu, Peilin ; Chen, Jie ; Niculescu, Silviu-Iulian
Author_Institution :
Univ. of California, Riverside
fYear :
2007
fDate :
9-13 July 2007
Firstpage :
4921
Lastpage :
4926
Abstract :
In this paper we study stability properties of linear time-delay systems with commensurate delays. We investigate specifically the asymptotic behavior of the critical characteristic zeros of time-delay systems on the imaginary axis. This behavior determines whether the imaginary zeros cross from one half plane into another, and hence plays a critical role in determining the stability of a time-delay system. We emphasize in particular the second-order asymptotic properties, which, together with earlier results on first-order analysis, provide a more complete characterization of the zero asymptotic behavior.
Keywords :
delays; linear systems; stability; critical stability property; first-order analysis; high-order analysis; linear time-delay system; second-order asymptotic property; zero asymptotic behavior; Asymptotic stability; Cities and towns; Control systems; Delay systems; Differential equations; Eigenvalues and eigenfunctions; Image analysis; Stability analysis; Switches; Testing; Time-delay; asymptotic behavior; asymptotic stability; critical zeros; matrix pencil;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
American Control Conference, 2007. ACC '07
Conference_Location :
New York, NY
ISSN :
0743-1619
Print_ISBN :
1-4244-0988-8
Electronic_ISBN :
0743-1619
Type :
conf
DOI :
10.1109/ACC.2007.4282786
Filename :
4282786
Link To Document :
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