控制系统无穷延拓的动态等价性
Dynamic Equivalence of Control Systems via Infinite Prolongations
摘要：
在本文中，我们把控制系统的动态等价性问题的背景下拉回的coframings无限喷丛的状态流形。虽然很多注意力已经给予微分平坦系统，即系统动态等效于线性控制系统，这种方法的优点是，它允许我们考虑控制仿射系统以及。通过这一背景下，我们能够分类所有的控制仿射系统的三个状态和两个控制下的动态等价的类型（x，u）|-> y（x，u）.
英文摘要：
In this paper, we put the issue of dynamic equivalence of control systems in the context of pullbacks of coframings on infinite jet bundles over the state manifolds. While much attention has been given to differentially flat systems, i.e. systems dynamically equivalent to linear control systems, the advantage of this approach is that it allowed us to consider control affine systems as well. Through this context we are able to classify all control affine systems of three states and two controls under dynamic equivalence of the type (x,u) |-> y(x,u).
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
