Symmetries and Mei Conserved Quantities for Nonholonomic Systems with Servoconstraints

This paper concentrates on studying the symmetries and anew type of conserved quantities called Mei conserved quantities forNonholonomic Systems with Servoconstraints. The criterions of theMei symmetry, the Noether symmetry, and the Lie symmetry are given.The conditions and the forms of the Mei conserved quantities deducedfrom these three symmetries are obtained. An example is given toillustrate the application of the results.