Hopf bifurcation control: A new approach
F Verduzco, J Alvarez - Systems & Control Letters, 2006 - Elsevier
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.
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.
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