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arXiv · 2211.06252

Hamilton-Jacobi theory for nonholonomic and forced hybrid mechanical systems

Leonardo Colombo·Manuel de León·María Emma Eyrea Irazú·Asier López-Gordón
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Abstract

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.

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Leonardo Colombo, Manuel de León, María Emma Eyrea Irazú, Asier López-Gordón. 2022-11-11. Hamilton-Jacobi theory for nonholonomic and forced hybrid mechanical systems. https://doi.org/10.1142/s2972458924500059

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