包含伺服约束非完整系统的Noether-Mei对称性

Noether-Mei symmetry of nonholonomic systems with servoconstraints

根据系统的运动微分方程,给出伺服约束非完整系统的新对称性的定义和判据,得到了系统的Noether-Mei对称性导出的Noether守恒量和Mei守恒量。举例说明结果的应用。

The definition and the criterion of a Noether-Mei symmetry for the nonholonomic systems with servoconstraints,as well as the Noether conserved quantity and the Mei conserved quantity deduced from the Noether-Mei symmetry for the system were given.An example was given to illustrate the application of the results.