DocumentCode
3218106
Title
Hopf Bifurcation Analysis of a Class of Delay Differential Systems
Author
Ping Wei ; Wensheng Yu ; Long Wang
Author_Institution
Inst. of Autom., Chinese Acad. of Sci., Beijing, China
fYear
2006
fDate
7-11 Aug. 2006
Firstpage
80
Lastpage
85
Abstract
This paper analyzes when a Hopf bifurcation occurs for a class of delay differential systems, and constructs the algorithms for determining the bifurcation\´s occurrence. By using some algebraic criteria, the "complete discrimination system for polynomials" and Hurwitz criterion, on-line determining bifurcation\´s occurrence can be realized. The methods unify and generalize the relevant results in the literature.
Keywords
algebra; bifurcation; delay-differential systems; Hopf bifurcation analysis; Hurwitz criterion; algebraic criteria; bifurcation occurrence; delay differential system; discrimination system; Algorithm design and analysis; Automatic control; Automation; Bifurcation; Content addressable storage; Control systems; Delay systems; Intelligent systems; Laboratories; Polynomials; Algorithms; Complete Discrimination System for Polynomials; Critical Delay; Hopf Bifurcation; Nonlinear System;
fLanguage
English
Publisher
ieee
Conference_Titel
Control Conference, 2006. CCC 2006. Chinese
Conference_Location
Harbin
Print_ISBN
7-81077-802-1
Type
conf
DOI
10.1109/CHICC.2006.280762
Filename
4060634
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