论文标题
合同强迫拉格朗日和联系拉格朗日系统：对具有对称性的非独立系统的申请
Contracting Forced Lagrangian and Contact Lagrangian Systems: application to nonholonomic systems with symmetries
论文作者
论文摘要
在本文中，我们解决了在机械师中出现的动态系统之间识别合同系统的问题。首先，我们引入了足够的条件，可以在一般的Riemannian歧管中识别合同系统。然后，我们将此技术应用于确定一种特定类型的耗散强制机械系统正在收缩，同时表明这一事实的直接后果是这些系统的稳定性。最后，我们使用先前的结果来研究特定类型的接触和非独立系统的稳定性。
In this paper we address the problem of identifying contracting systems among dynamical systems appearing in mechanics. First, we introduce a sufficient condition to identify contracting systems in a general Riemannian manifold. Then, we apply this technique to establish that a particular type of dissipative forced mechanical system is contracting, while stating immediate consequences of this fact for the stability of these systems. Finally, we use the previous results to study the stability of particular types of Contact and Nonholonomic systems.
