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Lie Group Control Theory Overview by Tobias Staub is a document available to read on EtoBox.

What is Lie Group Control Theory Overview about?

- The document discusses Lie group valued control theory, where systems have states that evolve on Lie groups rather than vector spaces. - It considers systems of the form ẋ(t) = A(x(t)) + ∑ ui(t)Bi(x(t)), with A and Bi being right-invariant vector fields on a Lie group G. - It shows that the system is controllable if and only if the Lie algebra generated by A and Bi is the entire Lie algebra g of G, which means the system can reach any point in the connected Lie group G.

Author

Tobias Staub

Language

EN