1 декабря 2021 г.

Geometric theory of optimal control


четверг, 16:45


Семинар проходит онлайн, в zoom, https://us06web.zoom.us/j/84704253405?pwd=M1dBejE1Rmp5SlUvYThvZzM3UnlvZz09


Eero Johannes Hakavuori


Sub-Riemannian abnormal extremals

Аннотация доклада: 

The abnormal extremals are the obstruction to regularity of sub-Riemannian geodesics. Even in the case of 3-dimensional analytic sub-Riemannian manifolds it was only relatively recently shown by Belotto da Silva, Figalli, Parusiński and Rifford that also the abnormal geodesics are at least $C^1$. In this talk I will cover some regularity results using a metric approach based on joint work with Enrico Le Donne, and cover some results studying how complicated the singularities of abnormal extremals can be.

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