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March 7, 2024 17:00


Introduction to geometric control theory.

L. V. Lokutsievskiy

Steklov Mathematical Institute of Russian Academy of Sciences, Moscow

Abstract: In the lectures, I will try to explain how geometric control theory can be applied to various tasks, provide key results, and demonstrate them through illustrative examples. I will cover (1) classical results from the theory, such as Pontryagin's maximum principle and Filippov's theorem, (2) structure results on reachability sets, including the Rashevsky-Zhou and Krener theorems, and (if time permits), the Nagano-Susuman theorem, and (3) Subriemannian and Subfinsler geometric results.


© Steklov Math. Inst. of RAS, 2024