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math.OC2020
The General Solution for Affine Control Systems on Lie Groups
João Paulo Lima de Oliveira, Alexandre José Santana, Simão Nicolau Stelmastchuk
The purpose of this paper is to present explicitly the solution curve for affine control systems on Lie groups under the assumption that automorphisms associated to the linear vect…
math.DS2020
Periodic orbits of Linear and invariant flows on connected Lie groups
S. N. Stelmastchuk
Our main is to study periodic orbits of linear and invariant flows on a real, connected Lie group. Since each linear flow has a derivation associated , we show t…