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arXiv · 2003.12486

The General Solution for Affine Control Systems on Lie Groups

João Paulo Lima de Oliveira·Alexandre José Santana·Simão Nicolau Stelmastchuk
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Abstract

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 vector fields commutes. If we assume that the derivations associated to linear vector fields are inner, we obtain a simpler solution and we show some results of controllability. To end, we work with conjugation by homomorphism of Lie groups between affine systems.

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João Paulo Lima de Oliveira, Alexandre José Santana, Simão Nicolau Stelmastchuk. 2020-03-27. The General Solution for Affine Control Systems on Lie Groups. https://arxiv.org/abs/2003.12486

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