Title :
Controlling from the center manifold codimension one bifurcations
Author :
Verduzco, Fernando
Author_Institution :
Dept. of Math., Sonora Univ., Mexico
Abstract :
In this paper we establish conditions to control the transcritical and pitchfork bifurcations of nonlinear systems with one uncontrollable mode. We use the center manifold to reduce the system dynamics to dimension one, and find expressions in terms of the original vector fields.
Keywords :
bifurcation; control system synthesis; linear systems; nonlinear control systems; time-varying systems; center manifold codimension; nonlinear system; original vector field; pitchfork bifurcation; transcritical bifurcation; uncontrollable mode; Bifurcation; Control systems; Equations; Linear approximation; Mathematics; State feedback;
Conference_Titel :
Control Conference, 2004. 5th Asian
Conference_Location :
Melbourne, Victoria, Australia
Print_ISBN :
0-7803-8873-9
