In this paper we mainly study the stability of quaternion-valued differential equations. We first establish the second Lyapunov method over quaternion field and then we use this theory to study the stability in both autonomous systems and periodic non-autonomous systems cases.

中文翻译：

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四元数微分方程的第二个Lyapunov方法

本文主要研究四元数微分方程的稳定性。我们首先在四元数域上建立第二个Lyapunov方法，然后使用该理论研究自治系统和周期非自治系统情况下的稳定性。