DocumentCode
425462
Title
Hopf bifurcation control for affine systems
Author
Verduzco, Fernando ; Alvarez, Joaquin
Author_Institution
Dept. of Math., Sonora Univ., Mexico
Volume
2
fYear
2004
fDate
June 30 2004-July 2 2004
Firstpage
1061
Abstract
We establish conditions to control the Hopf bifurcation of nonlinear systems with two uncontrollable modes on the imaginary axis. We use the center manifold to reduce the system dynamics to dimension two, and find expressions in terms of the original vector fields. The control law designed has a constant term, which establishes the stability of the equilibrium point, and a quadratic term, which determines the orientation and stability of the periodic solution near the origin.
Keywords
bifurcation; nonlinear control systems; stability; vectors; Hopf bifurcation control; affine systems; control law design; equilibrium point stability; imaginary axis; nonlinear systems; uncontrollable modes; vector fields;
fLanguage
English
Publisher
ieee
Conference_Titel
American Control Conference, 2004. Proceedings of the 2004
Conference_Location
Boston, MA, USA
ISSN
0743-1619
Print_ISBN
0-7803-8335-4
Type
conf
Filename
1386712
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