Local Bifurcations of Control-Affine Systems in the Plane
Tóm tắt
The phase portrait of a control-affine system, being an almost complete feedback invariant, carries the information on time-optimality and controllability structure of the system. In the paper, we deal with generic control affine systems and 1-parameter families of such systems around stationary points of their controllable part. We classify the portraits of such systems up to homeomorphisms of the state space. In the case of 1-parameter families, the classification embraces bifurcations, which can appear when changing the parameter. The figures illustrating these phenomena are included.
Tài liệu tham khảo
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