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Normal Forms and Bifurcations of Control Systems
Student-Run Research| Speaker: | Prof. Krener, Mathematics, UC Davis |
| Location: | 693 Kerr |
| Start time: | Mon, Oct 16 2000, 11:00AM |
Description
We present the quadratic and cubic normal forms of a nonlinear control
system around an equilibrium point. These are the normal forms under
change of state coordinates and invertible state feedback. The system need
not be linearly controllable. A control bifurcation of a nonlinear system
occurs when its linear approximation loses stabilizability. We study some
important control bifurcations, the analogues of the classical fold,
transcritical and Hopf bifurcations.