论文标题
基于Nagumo定理的连续动力系统的正不变性条件
Positive Invariance Condition for Continuous Dynamical Systems Based on Nagumo Theorem
论文作者
论文摘要
在本文中，我们获得了一些经典凸集的足够和必要的条件，作为连续动力系统的积极不变集，即正式不变性条件。该方法是基于Nagumo定理来得出这些集合的切线。我们还提出了使用优化理论和模型来验证这些充分和必要条件的存在的方法。
In this paper, we obtain sufficient and necessary conditions of some classical convex sets as positively invariant sets for a continuous dynamical system, namely positive invariance conditions. The approach is based on Nagumo Theorem by deriving the tangent cones of these sets. We also propose approaches using optimization theory and models to verify the existence of these sufficient and necessary conditions.
