This article discusses periodic and Poisson stable points of control affine systems. The main result states that the Poisson stability and the periodicity are equivalent concepts for states with closed semi-orbits. This is applied to providing a sufficient condition for the existence of periodic trajectories. Almost periodicity of invariant control systems on Lie groups is specially studied.

中文翻译：

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控制仿射系统的泊松稳定性和周期性

本文讨论控制仿射系统的周期和泊松稳定点。主要结果表明泊松稳定性和周期性是闭半轨道状态的等效概念。这用于为周期性轨迹的存在提供充分条件。专门研究了李群上不变控制系统的几乎周期性。