DocumentCode
3266382
Title
Analysis and stabilization of nonlinear systems with a zero-Hopf control bifurcation
Author
Hamzi, Boumediene
Author_Institution
Inst. Nat. de Recherche en Inf. et Autom., Le Chesnay, France
Volume
4
fYear
2002
fDate
10-13 Dec. 2002
Firstpage
3912
Abstract
In this paper we analyze the systems with zero-Hopf control bifurcation using normal forms and center manifold techniques. After classifying equilibrium sets and finding sufficient stabilizability conditions, we synthesize an asymptotically stabilizing quadratic feedback.
Keywords
asymptotic stability; bifurcation; feedback; nonlinear systems; asymptotic stability; center manifold techniques; equilibrium sets; nonlinear systems; normal forms; quadratic feedback; stabilization; sufficient stabilizability condition; zero Hopf control bifurcation; Bifurcation; Control system synthesis; Control systems; Eigenvalues and eigenfunctions; Feedback control; Input variables; Linear feedback control systems; Mathematics; Nonlinear control systems; Nonlinear systems;
fLanguage
English
Publisher
ieee
Conference_Titel
Decision and Control, 2002, Proceedings of the 41st IEEE Conference on
ISSN
0191-2216
Print_ISBN
0-7803-7516-5
Type
conf
DOI
10.1109/CDC.2002.1184976
Filename
1184976
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