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中文摘要：
为了研究可控非完整系统的Noether对称性和守恒量，根据Hamilton作用量在时间和广义坐标的无限小变换下的不变性，给出了系统的广义Noether定理及其逆定理，得到了相应可控完整系统的Noether对称性与可控非完整系统的Noether对称性的关系，并给出了在实际中的应用。
英文摘要：
This paper is to study the Noether symmetries and conserved quantities of controllable nonholonomic systems. Based on the infinitesimal transformations with respect to coordinates and time as well as the variation of Hamilton action, we first present the generalized Noether theory and inverse problem, and then find the relationship between the Noether symmetries of the controllable nonholonomic systems and the controllable holonomic systems. Finally we give the application in practice.
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