Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
753308 | Systems & Control Letters | 2006 | 15 Pages |
Abstract
In this paper we find conditions to control a Hopf bifurcation in a class of nonlinear systems whose linear approximation has two eigenvalues on the imaginary axis, without assuming that the system is controllable. We use the center manifold theorem to project the dynamics on a two dimensional manifold, and design a controller that permits us to decide the stability and direction of the emerging periodic solution.
Related Topics
Physical Sciences and Engineering
Engineering
Control and Systems Engineering
Authors
Fernando Verduzco, Joaquin Alvarez,