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arXiv · 2309.03737

On invariant control sets for control systems on $S^3$

Bruno Rodrigues·Luiz San Martin·Alexandre Santana
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Abstract

In this paper we describe the Lie-theoretic structure of ${\rm SO}(1,4)$ and consider control systems given by certain vector fields of ${\rm SO}(1,4)$. Then we explicitly describe its invariant control sets in the unique ${\rm SO}(1,4)$-flag manifold, namely the sphere $S^3$.

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Bruno Rodrigues, Luiz San Martin, Alexandre Santana. 2023-09-07. On invariant control sets for control systems on $S^3$. https://arxiv.org/abs/2309.03737

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