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Normal Forms and Bifurcations of Control Systems
Student-Run Research Seminar| Speaker: | Prof. Krener, Mathematics, UC Davis |
| Location: | 693 Kerr |
| Start time: | Mon, Oct 16 2000, 11:00AM |
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.