论文标题
汉密尔顿 - 雅各比理论，用于非单星和强制混合机械系统
Hamilton-Jacobi theory for nonholonomic and forced hybrid mechanical systems
论文作者
论文摘要
混合系统是一个系统，其动力学是由连续和离散过渡的混合物给出的。特别是，这些系统可用于描述具有影响的机械系统的动力学。基于克拉克的方法，我们开发了一种用于强制和非体力学混合动力学系统的几何汉密尔顿 - 雅各比理论。我们陈述了这些类别系统的相应的汉密尔顿 - 雅各布方程，并应用了我们的结果来分析一些示例。
A hybrid system is a system whose dynamics is given by a mixture of both continuous and discrete transitions. In particular, these systems can be utilised to describe the dynamics of a mechanical system with impacts. Based on the approach by Clark, we develop a geometric Hamilton-Jacobi theory for forced and nonholonomic hybrid dynamical systems. We state the corresponding Hamilton-Jacobi equations for these classes of systems and apply our results to analyze some examples.
